Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. Only half of all mice complete one particular maze in less than 18 seconds. A research thinks that a loud noise will cause the mice to complete the maze faster. She measures the proportion of 40 mice that completed the maze in less than 18 seconds with noise as a stimulus. The proportion of mice that completed the maze in less than 18 seconds is . The hypotheses for a test to answer the researcher's question are
a) H0: p = 0.5, Ha: p ≠ 0.5.
b) H0: p = 0.5, Ha: p < 0.5.
c) H0: p = 0.5, Ha: p > 0.5.

Answers

Answer 1

Answer:

Option c (H0: p = 0.5, Ha: p > 0.5) is the correct option.

Step-by-step explanation:

According to the question,

p = 0.5

We must check whether in less than 18 seconds the percentage including all razer mice finish a certain labyrinth is above half, which would be p > 0.5. It's over 1/2 the mouse with much less than 18 seconds to finish the maze.Throughout null H0, humans assert that the percentage of the particular period seems to be equivalent to that specified as well as that beneath theoretical frameworks, this same percentage is always < (less than) or > (greater than) or doesn't equal to the category as per the hypothesis matter.

The other given alternatives aren't related to the given explanation or the conditions. So the above is the right option.


Related Questions

There is a raffle for the class of 30
students. There are 3 prizes that are gift
cards for the value of $5, $10 and $25.
How many ways can there be 3 winners of
this raffle?

Answers

Answer:

Having 3 students pick a raffle

Step-by-step explanation:

A carpentry tool has replaceable hexagonal heads. The diagram below shows the replaceable head. *Picture not drawn to scale What is the area of the replaceable head? Round to the nearest hundredth, if necessary. A. 13.59 square inches B. 12 square inches C. 15 square inches D. 17.81 square inches

Answers

Answer:

Step-by-step explanation:c 15

Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Flying with the wind, the same plane travels 4040 kilometers in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?​

Answers

The rate based on the information will be 590 kilometers per hour and 1010 kilometers per hour

How to calculate the rate?

Rate in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that rate contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

Since the an airplane travels 4720 kilometers in 8 hours. The rate is:

= 4720 / 8

= 590 kilometers per hour

Flying with the wind, the same plane travels 4040 kilometers in 4 hours. The rate will be:

= 4040 / 4

= 1010 kilometers per hour

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Five student government officers want to go to the state convention. It will cost them $115 for registration, $365 for transportation and food, and $55 per person for the hotel. There is $485 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $6 per car, how many cars must they wash in order to have enough money to pay for the trip?

Answers

Answer:

45 cars

Step-by-step explanation:

115+365+(55*5) = 755

755 - 485 =270

270/6 = 45

PLEASE HELP!
a-b+c=3
a+b+c=7
Find b.
A) 1
B) 2
C) 3
D) 4
E) 5

Answers

Answer:

b

Step-by-step explanation:

I think the day of my birthday was a little more aware of my own life than the poem I think I c I

Answer:

B

Step-by-step explanation:

Given the 2 equations

a - b + c = 3 → (1)

a + b + c = 7 → (2)

Subtract (1) from (2) term by term to eliminate a and c

a - a + b - (- b) + c - c = 7 - 3 , that is

0 + b + b + 0 = 4

2b = 4 ( divide both sides by 2 )

b = 2 → B

i dont understand please help

Answers

Answer:

0.15%

hope this helps!!

13. On weekends, as part of his exercise routine, Carl goes for a run, partly
C on paved trails and partly across rough terrain. He runs at 10 km/h on
the trails, but his speed is reduced to 5 km/h on the rough terrain. One
day, he ran 12 km in 1.5 h. How far did he run on the rough terrain?

Answers

Answer:

5*a+10*b=12,

a+b=1.5

Step-by-step explanation:

In this article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970s.
To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were:
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0(p1 In the hypothesis test about cannabis use by conservatives and liberals, the test statistic was z = -4.27, with a corresponding p-value of about 0.00001.
Which conclusion is most appropriate in the context of this situation?

Answers

Answer:

The pvalue of the test is 0.00001 < 0.01, which means that we have sufficient evidence to conclude that the proportion of voters who smoked cannabis frequently was lower among conservatives than liberals.

Step-by-step explanation:

We test:

If the proportion of voters who smoked cannabis frequently was lower among conservatives than liberals.

Corresponding p-value of about 0.00001.

The pvalue of the test is 0.00001 < 0.01, which means that we have sufficient evidence to conclude that the proportion of voters who smoked cannabis frequently was lower among conservatives than liberals.

GUYS PLZ IM ON A TIME LIMIT IF U AWNSR FIRST I WILL GIVE 50 POINTS HURRY!!!!!

Nan’s art sculpture is a pyramid. She will cover all the faces with gems, except the base of the pyramid.

What is the surface area of the part of the pyramid that will be covered in gems?
A. 36 square meters
B. 54 square meters
C. 72 square meters
D. 81 square meters

Answers

Answer:

[tex]2 \times 3 \times 12 \\ 72 {m}^{2} [/tex]

Answer:

C. 72

Step-by-step explanation:

Triangular Area: 1/2 (b) (h)

12x3=36

36/2=18

18x4=72

I also did the test. Have a great day/night! <3

The Lateral Area of a cylinder is 8II square feet and its height is 4 ft. Find the radius,
O 12
08
0 1
03

Answers

9514 1404 393

Answer:

  C.  1

Step-by-step explanation:

The lateral area is given by the formula ...

  LA = 2πrh

Filling in the given values, you have ...

  8π = 2π·r·4

  1 = r . . . . . . . . divide by the coefficient of r

The radius of the cylinder is 1 foot.

Im confused, please help​

Answers

Answer:

8 x 6 = 48, 48 divided by 2 (x 1/2) = 24 , 24 x 2(there are two triangles) = 48

12 x 10 = 120

8 x 12 = 96

12 x 6 = 72

Now let's add all the given areas:

48 + 120 + 96 + 72 = 336 ft^2 is your answer.

Jessle served 11 pints of orange Juice at her party. How many quarts of orange juice did she serve?​

Answers

5.5 quarts


(Divide the volume value by 2)

step by step pls not only one thing

Answers

9514 1404 393

Answer:

  C

Step-by-step explanation:

These are not line plots; they are dot plots. Each dot (×) represents one data point. The dot is placed above the corresponding value on the horizontal axis. There are 7 data points, so should be 7 dots. 3 of the data points are 3/4 hour.

Only plots C and D show 7 data points. Only plot C shows three of those data values being 3/4 hour. Plot C is the correct choice.

Jamie is going to run a 3-mile race. Using the information in the table above, how many inches are in 3 miles?
A.
189,980
B.
190,070
C.
189,080
D.
190,080

Answers

D. 190,080
hope it helps :)

hmm... i wonder what's 1+1 =

Answers

Answer:

2

Step-by-step explanation:

1+1 = 2

Select the correct answer

Answers

The domain of the given graph is (-∞ < x < ∞)

What is the domain of a function?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).

Given is a graph,

For f(x) = x, there is no restriction on x

Both the domain and range are the set of all real numbers.

Hence, The domain will be (-∞ < x < ∞)

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Company A charges 125$ annual fee plus 7$ per hour car share fee. Company B charges 110$ plus 10$ per hour. What is the minimum number of hours that a car share needs to be used per year to make company a better deal?

Answers

Answer:

6

Step-by-step explanation:

Let the number of hours be [tex]x[/tex].

[tex]125+7x<110+10x \\ \\ 15+7x<10x \\ \\ 15<3x \\ \\ x>5[/tex]

So, the minimum is 6 hours.

Round 0.25773438 to the nearest hundredth

Answers

Answer:

The answer is 0.26.

I wish you luck on your assignments.

Answer: 0.26

Step-by-step explanation:

1. The hundredths place is two digits from the decimal point

2. Look at the thousandths place and if it is larger or equal to 5 then we round up, otherwise we round down and the hundredths digit remains the same

3. 7 is larger than 5 therefore the hundredths place digit of 5 rounds to a 6

4. Our final answer is 0.26

Ten less than 3 times a number is the same as the number plus 4. What is the number?

Answers

Answer:

3x-10=x+4

Step-by-step explanation:

Find the volume of this sphere.
Use 3 for T.
d=6in
V ~ [?]in3
V = Tr3

Answers

Answer:

V = 108 in³

Step-by-step explanation:

Given:

Volume of sphere = ⁴/3πr³

π = 3

d = 6 in.

r = ½(6) = 3 in.

Required:

Volume of sphere

Solution:

V = ⁴/3πr³

Plug in the values

V = ⁴/3 * 3 * 3³

V = ⁴/3 * 3 * 27

V = 4 * 27

V = 108 in³

what is the explicit formula for this sequence?
-8,-3,2,7
A)an=12+(n-1)5
B)an=-8+(n-1)5
C)an=5+(n-1)(-8)
D)an=-8+(n-1)(-5)

Answers

Answer:

3,2,7

A)an=12+(n-1)5

B)an=-8+(n-1)5

C)an=5+(n-1)(-8)

D)an=-8+(n-

Given: AD bisects angle A.
Prove: ADB = ADC

Help immediately please.

Answers

Answer:

Given: AD bisects ∠A

prove: ΔABB ≅ Δ ADC

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

statements :                          Reason:

1) AD bisects ∠A                     1- Given

2)∠CAD ≅ ∠BAD                 2- Definition of bisector.

3) AD ≅ AD                             3- Reflexive property of congruence.

4) ∠CDA ≅∠BDA                 4- Right angle( from figure).

5) ΔADB ≅ Δ ADC                  5- ASA

[tex]---------------[/tex]

hope it helps...

have a great day!!

Evaluate the expression

Answers

Answer:

39

Step-by-step explanation:

6a - b = 6 x 8 - 9 = 48 - 9 = 39

Answer: 39

Step-by-step explanation:

Given that a=8 and b=9

The expression is 6a-b

That is; we have to find 6 times a and then subtract b from it.

6a = 6*8=48

b=9

6a-b=48-9=39

Therefore the answer to the question is 39.

The probability that tomorrow's temperature will be average is 55%. The probability that the temperature will be above average is 25%. Work out the probability that the temperature will be BELOW average

Answers

Answer:

Probability that the temperature below average = 20%

Step-by-step explanation:

Given:

Probability that tomorrow's temperature average = 55%.

Probability that the temperature above average = 25%

Find:

Probability that the temperature below average

Computation:

Probability that the temperature below average = 100% - Probability that tomorrow's temperature average - Probability that the temperature above average

Probability that the temperature below average = 100% - 55% - 25%

Probability that the temperature below average = 100% - 80%

Probability that the temperature below average = 20%

Use Special Triangle Shortcuts to find the values of x and y in the first figure. Explain how you determined the length of segments x and y using 2-3 sentences or explain your steps used to find the values.

Answers

Answer:

Solution given:

short cut to find x

Tan 30°=P/B

Tan30°=x/22√3

x=tan 30×22√3

x=22

and

for y

cos 30=B/H

cos30×y=22√3

y=22√3/cos30

y=44

A small business celebrates serving 5110 customers in their first year of business how many customers did they average each day

Answers

The no. of customers they serve per day is equal to 14.

It is given that the total number of customers served in first year of business was 5110.

We have to find that what will be the average of servings per day ?

What do you mean by average ?

The average is the ratio of sum of all numbers to the total no. of numbers.

As per the question ;

Total number of people served in a year = 5110

We know that ;

1 year = 365 days

So ;

To calculate the average of servings per day we need to divide total number of servings by no. of days in 1 year.

i.e.,

Average of customers per day ;

= 5110 ÷ 365

= 14 customers per day

Thus , the no. of customers they serve per day is equal to 14.

F(x)=2 sin (1/2x)+1
What is the midline of the functionless

Answers

Answer: 4

Step-by-step explanation:

Let me get to know you:)

A group of workers can plant 49 acres in 7 days. What is there rate in acres per day?

Answers

Answer:

Step-by-step explanation:

343

Answer:

7

Step-by-step explanation:

Work out
a) 4 1/3x6
B) 2 3/5 x 3 1/3


Give Answers as mixed numbers

Answers

Answer:

Solution of the given expression is 26

Solution of the given expression is 8.67

Step-by-step explanation:

Given:

a] [tex]4\frac{1}{3} \times 6[/tex]

b] [tex]2\frac{3}{5} \times 3\frac{1}{3}[/tex]

Find the solution;

Computation:

a] [tex]4\frac{1}{3} \times 6[/tex]

Step 1 ;

Changed mixed fraction into simple fraction

⇒ 13/3 x 6

Step 2 ;

⇒ 13 x 2

26

Solution of the given expression is 26

b] [tex]2\frac{3}{5} \times 3\frac{1}{3}[/tex]

Step 1 ;

Changed mixed fraction into simple fraction

⇒ (13/5) x (10/3)

Step 2 ;

⇒ 130 / 15

8.67

Solution of the given expression is 8.67

A woman has 31 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.20, how many dimes and how many quarters does she have?

Answers

Answer:

D+Q = 31

10D + 25Q = 595

10D + 10Q = 310

subtract to get

15Q = 285 Q = 285/15 = 19 quarters D = 31-19 = 12 dimes

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