Suppose a university advertises that its average class size is 32 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 40 classes was​ selected, and the average class size was found to be 34.8 students. Assume that the standard deviation for class size at the college is 99 students. Using α=0.10​, complete parts a and b below.a. Does the student organization have enough evidence to refute the​ college's claim?Determine the null and alternative hypotheses.Upper H 0H0​:μ▼Upper H 1H1​:μ▼

Answers

Answer 1

Answer:

a

The  student does have enough evidence to refute the college claim

b

The null hypothesis is [tex]H_o : \mu \le 32[/tex]

The alternative hypothesis is [tex]H_a : \mu > 32[/tex]

Step-by-step explanation:

From the question we are told that

The average class size is [tex]\mu = 32[/tex]

The sample size is [tex]n = 40[/tex]

The sample mean is [tex]\= x = 34.8[/tex]

The standard deviation is [tex]\siigma = 99[/tex]

The significance level is [tex]\alpha = 0.10[/tex]

The null hypothesis is [tex]H_o : \mu \le 32[/tex]

The alternative hypothesis is [tex]H_a : \mu > 32[/tex]

Generally the test statistics is mathematically represented as

[tex]z =\frac{\= x - \mu}{ \frac{\sigma }{\sqrt{n} } }[/tex]

=> [tex]z = \frac{34.8 - 32}{ \frac{99 }{\sqrt{99} } }[/tex]

=> [tex]z = 0.1789 [/tex]

Generally the p-value is mathematically represented as

[tex]p- value = P (Z > 0.1789)[/tex]

From the z- table

[tex] P (Z > 0.1789) =0.42901 [/tex]

So

[tex]p- value = 0.42901 [/tex]

So from the calculation we can see that [tex]p- value > \alpha[/tex] so we fail to reject the null hypothesis

This means that the student does not have enough evidence to refute the college claim

     


Related Questions

The graph of y=|x−1|+ 7 is reflected across the y-axis and then translated up 1 unit. What is an equation of the transformed graph?

Answers

Answer:

y = |-x-1| + 8.

Step-by-step explanation:

A reflection across the y axis gives the equation y = |-x -1| + 7.

Then a translation up 1 unit gives the equation y = |-x-1| + 8.

Alta dove 9 meters below the ocean’s surface. She then dove 15 meters deeper. She then rose 19 and one-fourth meters. What was her position in relation to the surface of the water?

Answers

Answer:  -4 3/4

Step-by-step explanation:

Above is the answer if you have a drop down menu, because I have a drop down menu.

Answer:

B

Step-by-step explanation:

i got it right

Name the slope and one point that is on the line
represented by the equation: x = -2
A) m = undefined and point (-2,5)
B) m = 0 and point (-2,4)
C) m = undefined and point (5,-2)
D) = zero and point (5,0)

Answers

Answer: Choice A

m = undefined

point (-2,5)

==================================================

Explanation:

The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)

Another point on this line is (-2,5) since this also has x coordinate -2.

------------------

All vertical lines have undefined slope.

Let's pick two points such as (-2,0) and (-2,1) and find the slope through them

m = (y2-y1)/(x2-x1)

m = (1-0)/(-2-(-2))

m = (1-0)/(-2+2)

m = 1/0

m = undefined, since we cannot divide by zero.

Robert I'm $10 which was 4less than twice which Eric earned how much money did Eric earn

Answers

Answer: Eric earned $7

Step-by-step explanation:

Let's define:

R = money that Robert earned.

E = Money that Eric earned.

Now we want to find how much money did Eric earn.

We know that:

R = $10 = 2*E - $4

Whit this equation, we can find the value of E. So we must isolate the variable E in one side of the equation:

2*E = $10 + $4 = $14

E = $14/2 = $7

Eric earned $7

y = 3 in two variable​

Answers

Step-by-step explanation:

If Y = 3 is treated as an equation in one variable, then it has a unique solution y= 3. So it is a point on the number line. Given equation Y equal to 3 can be written as 0. x + y = 3, which is a linear equation in two variables x and y.

Lesson 3 Practice Problems Ratios

Answers

Answer:

1. 6 to 2 and 9 to 3

2. Any ratio that is not equivalent to 3 to 1. For example, 4 to 11.

Step-by-step explanation:

A company estimates that 0.7% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $350. If they offer a 2 year extended warranty for $48, what is the company's expected value of each warranty sold?

Answers

Answer:

$44.90

Step-by-step explanation:

The resulting value for the company of replacing a failed product is given by the price of the warranty minus the cost of replacement:

F = $47-$300=-$253

This event has a 0.7% chance of happening.

The resulting value for selling extended warranty to a product that does not fail is given by the price of the warranty:

W = $47

This event has a 99.3% chance of happening.

The expected value is:

EV = $44 * 0.993 + ($47-$300) *0.007

EV = $44.90

The expected value for each warranty sold is $44.90.

1/2x plus 12 = 8x Please help me!

Answers

Answer:

8/5=x

Step-by-step explanation:

1/2x+12=8x

Subtract 1/2x from both sides

12=15/2x

Multiply 2/15 on both sides

8/5=x

I WILL GIVE BRAINLIEST
Can someone help me out with this??

Answers

Answer:

record time

Step-by-step explanation:

code word is record time

Answer: R E C O R D  T I M E

Step-by-step explanation:

first u start, they you go to the  2 path, then you reach R Which is 4 so you go in the 4 path then to to the E path, which is 1 so you go down to the C path, then after that its equales -1 so then you go to the o path the answer is -6 so you got to that path R, then it equals -4 so then u go to the D path then after that u would go to the T path then after that u go to the I path cause it equals -7 then head to M cause it equals -8 the finish E

Joe told Mickey he got an hourly raise at work and his new rate will be $10.25 per hour. Mickey wants to know what Joe’s hourly rate was before his raise. If r represents the amount of the raise, which expression represents Joe’s hourly rate before his raise?
r minus 10.25
10.25 minus r
10.25 + r
r + 10.25

Answers

Answer:

10.25 minus r

Step-by-step explanation:

because amount of money minus how much the raise was equals what he had before.

Answer:

✨b✨

Step-by-step explanation:

Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make a pillow and 3 yards to make curtains how much fabric is remaining

Answers

Answer:

3 yards

Step-by-step explanation:

8 1/2 - 2 1/2 = 6

6 - 3 = 3

Your answer is 3.

Please mark as brainliest.

Please hurry it’s urgent Thank you

Answers

Answer:

D

Step-by-step explanation:

the answer is the graph on the bottom right corner, 400 pages on the y axis and 16 days on the x axis. 25 pages a day.

hope this helped!


What does
non-proportional and
proportional

Answers

Answer: i don’t understand the question... are you asking what eacg of them mean?

Step-by-step explanation:

Answer:Proportional: ... How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

In crest view middle school, 12 out.of 16 students are right handed. If there are 400 students in the school, how many are right handed?

Answers

300 Students are right handed

5/9 is rational or irrational

Answers

Rational hope this helps

Minerva is trying to estimate v 55. She uses this table of values:
Square 7.02 7.12 7.22 7.32 7.42 7.52
Value
49.0 50.4 51.8 53.3 54.8 56.3
Square 7.62 7.72 7.82 7.92 8.02
Value
57.8 59.3 60.8 62.4 64.0
What should she do next to find 55 to the nearest hundredth?

Answers

Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Test!

5. A man purchased a sewing machine for ₹1250 and spent ₹250 on its transportation. He sold it for ₹1600. Find his profit percent.​

Answers

Answer:

COST PRICE=1250+250=1500

SELLING PRICE=1600

GAIN=1600-1500=100

GAIN PERCENT=>

Step-by-step explanation:

I HOPE ITS HELP YOU

PLZZ HELP Will give brainlist plz help its for my 9 week exam
Which property of addition is demonstrated in Step 1 of the problem solution shown below?


A. Associative Property

B. Commutative Property

C. Distributive Property

D. Identity Property

Answers

Answer:

Its commutative property

Step-by-step explanation:

It means u can move stuff around so ya

Which equation has a pair of equivalent ratios?


Answers

Answer:

Option (3)

Step-by-step explanation:

If the two ratios are equivalent then the value of the ratios will be equal.

[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]

Option (1)

[tex]\frac{11}{12}=\frac{44}{46}[/tex]

Simplified form of the fraction [tex]\frac{44}{46}[/tex] is,

[tex]\frac{44}{46}=\frac{22}{23}\times \frac{2}{2}=\frac{22}{23}[/tex]

Therefore, [tex]\frac{11}{12}=\frac{22}{23}[/tex]

Which is not true,

Therefore, option (1) doesn't show the equivalent ratio.

Option (2)

[tex]\frac{36}{40}=\frac{4}{9}[/tex]

Simplified form of [tex]\frac{36}{40}[/tex] is,

[tex]\frac{36}{40}=\frac{9}{10}\times \frac{4}{4}=\frac{9}{10}[/tex]

Therefore, [tex]\frac{4}{9}= \frac{9}{10}[/tex]

Which is not true.

Therefore, option (2) doesn't show the equivalent ratio.

Option (3)

[tex]\frac{1.5}{3}=\frac{12}{24}[/tex]

Since simplified form of [tex]\frac{1.5}{3}[/tex] is,

[tex]\frac{1.5}{3}=0.5[/tex]

And simplified form of [tex]\frac{12}{24}[/tex] is,

[tex]\frac{12}{24}=0.5[/tex]

Therefore, [tex]\frac{1.5}{3}=\frac{12}{24}=0.5[/tex]

Option (3) shows the equivalent ratios.

Option (4)

[tex]\frac{8}{12}=\frac{4}{24}[/tex]

Since, [tex]\frac{8}{12}=\frac{2}{3}\times \frac{4}{4}=\frac{2}{3}[/tex]

And [tex]\frac{4}{24}=\frac{1}{6}\times \frac{4}{4}=\frac{1}{6}[/tex]

But [tex]\frac{2}{3}\neq \frac{1}{6}[/tex]

Therefore, equation in this option doesn't show the equivalent ratios.

1. Sebastian lived in France and Canada for a total of 21 months in order to learn French. He learned an average of
150 words per month when he lived in France, and an average of 210 words per month when he lived in Canada. In
total he leamed a total of 3,450 new words.
How long did Sebastian live in France? How Long did he Live in Canada?

Answers

Answer:

Step-by-step explanation:

He took 21 months in total.

150 per month in France and 210 per month in Canada

So, He learned in France in 10 months and canada in 11 months

Eight more than twice a number is four less than the same number​

Answers

Answer:idk

Step-by-step explanation:

The equation would be 2x+8=x-4
+4. +4
2x+12=x
-2. -2
12=-1x
-12=x
I hope that’s right,don’t mind the .’s I couldn’t get rid of them

What ratios are equivalent to 27:9

Answers

Answer:

3:1,

Step-by-step explanation:

because if you multiple 3x9=27, and 1x9=9 you get 27:9

complete the division. The quotient is 3x^2+__x+__.

Answers

Answer: 3x^2+ -2x+5. I hope this helped

Step-by-step explanation:

Helppppppppppp?????!!!!!!

Answers

hello there!
i’m so happy to help you!

so here’s what we got:
4/5. so we know that 5 is a factor of 100. so when trying to find a decimal, you have to make your fraction a 10 or 100. so in this case, we only have to make the number to 10.

5x2=10, and whatever we do to the top, we mist do to the bottom. (or vice versa) so we now multiply 4x2 to get 8. so your decimal will be 0.8 or 0.80.

have a wonderful day!!
cookiebrookie∞☻

each morning max walks to school. at 8:20, he passes a stoplight that is 2 blocks from home. He reaches the town library at 8:24. At this point, he is 3 blocks from school and halfway there. If Max walks at the same pace all the way to school, at what time does he arrive at school?

Answers

Answer:

8:36

Step-by-step explanation:

If he is at his halfway point at 8:24 and it only took him 4 minutes to get one block in than it would take him 12 minutes to get 3 blocks in and if you add 12 more minutes to the time that he's at right now than he would arrive at 8:36.

Hope this helps. Give 412937691 the brainliest.

4
X,
f(x) = (2x -6,
{
x < 2
x > 2
8. f(-2) =
9. f(3) =
10. f(5) =

Answers

Answer:

Step-by-step explanation:

Hope it helps

Which choice is equivalent to the expression below? √-49

btw its 7i

Answers

Answer:

7

Step-by-step explanation:

which list shows the triangles in order from greatest area to least area

Answers

Answer:

H - Triangle Z, Triangle X, Triangle Y

Step-by-step explanation:

Triangle X area = rad(66.5) cm^3 ≈ 8.155cm^3

Triangle Y area = 8.15cm^3

Triangle Z area = (17.5/2)cm^3 = 8.75cm^3

8.75cm^3 > 8.155cm^3 > 8.15cm^3

Therefore:

Triangle Z area > Triangle X area > Triangle Y area

Suppose our retirement account pays 9% apr compounded monthly; what size nest egg do we need in order to retire with 25 years that yields to $5,000 per month? Show all work

Answers

Answer:

  $595,808.11

Step-by-step explanation:

We assume the retirement account is intended to pay out $5000 per month for 25 years. The amortization formula can be used to find the required amount. The monthly payment A based on principal P with interest at annual rate r for t years satisfies the relation ...

  A = P(r/12)/(1 -(1 +r/12)^(-rt))

  P = A(12/r)(1 -(1 +r/12)^(-rt))

  P = 5000(12/0.09)(1 -(1 +.09/12)^-300)

  P = $595,808.11

The required nest egg is $595,808.11.

What is .82 written as a percent?
-8.2%
- 82%
-820% ANSWER QUICK PLS

Answers

Answer:

82

Step-by-step explanation:

get rid of dicemal

Answer: 82%

0.82 as a percent can be written as 82%. Just make 0.82 into an 82%.

0.82 as a fraction can be 82/100.

The answer to the question is 82%.

Hope this helps you!

Other Questions
How many repeating digits are in 0.64 repeating? Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog. Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing? Regina charges c dollars per hour to babysit. If she increases her rate by 15%, which expression represents her new rate, in dollars per hour? c plus 0.15c plus 15c plus 0.15 cc plus 15 c What was life like in cities like Philadelphia? im dumb ik but help. part of speech of : trait , purpose, psyche, abomination , palpable. help me aleast with one of these :) Ellie completed an algebraic proof to show that V12 + V108 = 8 - 31.=V12 + 7108122 + 108342. 33 + 362 - 318.32Which expression can be placed in the blank to correctly complete Ellie'sproof? Simplify the radical 3sqrt16a Yoshi needs to find the inverse of f(x) = 5x 2. What is the first step? identify terms, like terms, coefficients, constant terms then simplify the expression As of a certain date, there had been a total of 14,649 performances of two shows on Broadway, with 2389 more performances of Show A than Show B. How many performances were there of each show? There were performances for Show A. Find x y, if x = 3 5/6 and y = 3 3/5 . Express your answer in simplest form. **ECONOMICS** Question 1 of 10A market condition featuring a small group of producers controlling thesupply of a good is calledA. monopolistic competitionB. a monopolyC. an oligopolyD. pure competition Simplify 12x7y3 divided by 6x3y who was the strongest Mauryan emperor Which expressions are equivalent to 7x 14? Check all that apply.which expressions are equivalent to 7x-14? 14-7xx 2 (14 7x)7(x 2)3x 14 + 4x2x 10 + 5x + 4 10. Vestigial structuresAre dangerous and should be removed.Are fully functional structures in a species.Are usually present, but are no longer functional.Have been completely eliminated from the species. A person's mental and emotional condition does not affect his overall health. True or False. Velocity of an object in projectile motion always increase True False Find the coordinates of Point R so that it is 3/7 the distance from D to C. 15(10 Points)3555 The Dutch colonized New Amsterdam by buying the land from the Native Americans. When the English took the land from the Dutch, New Amsterdam becameGroup of answer choicesNewfoundlandNew HavenNew JerseyNew York