A study is performed in a large southern town to determine whether the average amount spent on food per four-person family in the town is significantly different from the national average. A random sample of the weekly grocery bills of two-person families in this town is given in the file. Assume the national average amount spent on food for a four-person family is $150.
a. Identify the null and alternative hypotheses for this situation.
b. Is the sample evidence statistically significant? If so, at what significance levels can you reject the null hypothesis?
c. For which values of the sample mean (e.g., average weekly grocery bill) would you reject the null hypothesis at the 1% significance level? For which values of the sample mean would you reject the null hypothesis at the 10% level?
Family Weekly food expense
1 $198.23
2 $143.53
3 $207.48
4 $134.55
5 $182.01
6 $189.84
7 $170.36
8 $163.72
9 $155.73
10 $203.73
11 $191.19
12 $172.66
13 $154.25
14 $179.03
15 $130.29
16 $170.73
17 $194.50
18 $171.14
19 $175.19
20 $177.25
21 $166.62
22 $135.54
23 $141.18
24 $158.48
25 $159.78
26 $157.42
27 $98.40
28 $181.63
29 $128.45
30 $190.84
31 $154.04
32 $190.22
33 $161.48
34 $113.42
35 $148.83
36 $197.68
37 $135.49
38 $146.72
39 $176.62
40 $154.60
41 $178.39
42 $186.32
43 $157.94
44 $116.35
45 $136.81
46 $195.58
47 $129.44
48 $146.84
49 $165.63
50 $158.97
51 $210.00
52 $175.46
53 $159.69
54 $154.56
55 $152.95
56 $177.30
57 $129.23
58 $127.40
59 $167.48
60 $183.83
61 $157.39
62 $163.24
63 $165.01
64 $137.43
65 $177.37
66 $142.68
67 $150.04
68 $161.44
69 $166.13
70 $190.96
71 $187.19
72 $116.63
73 $159.73
74 $159.64
75 $142.44
76 $153.03
77 $143.12
78 $156.35
79 $182.70
80 $129.03
81 $119.06
82 $137.99
83 $144.20
84 $183.51
85 $169.67
86 $134.66
87 $202.94
88 $143.43
89 $170.52
90 $139.53
91 $159.31
92 $134.77
93 $165.48
94 $127.20
95 $168.16
96 $125.39
97 $167.96
98 $178.64
99 $134.38
100 $111.87
Step-by-step explanation:
H0: u = 150
H1: u ≠ 150
Total sum = 15933.24
N = 100
Mean = 15933.24/100
= 159.3324
σ² = 25954.03 - (159.3324)²/100
σ² = 556.213
σ = √556.213
σ = 23.8162
Testing hypothesis
t = (bar x - u)/ σ/√n
= 159.3324-150/23.8162/√100
= 3.91
We will have a p value of 0.02
0.0002 < 0.01
We reject null hypothesis at 1% level of significance
C. Mean = 159.3324
Se= 2.3936
Df = 100-1 = 99
Critical value at 0.01 = +-2.626
T = x-u/s.e
= -2.626 =( x -150)/2.3936
When we cross multiply and solve this
X = 143.714 for the lower tail
2.626 = (x-159)/2.3936
= 156.286 for upper tail.
We therefore reject H0 at
Bar X <= 143.71
Bar X >= 156.286
At 10%
Critical t = 1.660
-1.660 = (x - 150)/2.3936
Solving this ,
X =146.02 at the lower tail
1.660 = (x-150)/2.3936
X = 153.97
We reject H0 at
X<= 146.03
X>=153.97
Stanley is looking to retire and move near the ocean. The Jersey Shore has seen a rise in sea levels the past few years. These high tides have caused floods in 100 places that call themselves Jersey Shore towns, which are on or within reasonable distance of the ocean. Stanley is nervous about possible floods and would like to be prepared for costs associated with them. As Stanley’s friend and an expert in risk management, you collect past information and have constructed the following probability distribution for the number of floods per town per summer at the Jersey Shore. # of floods per town per summer Probability 0 0.10 1 0.15 2 0.26 3 0.30 4 0.15 5 0.04 a. Calculate the expected frequency of floods per town per summer. (2 points) b. Calculated the variance. (2 points)
Answer:
2.37 ; 1.6731
Step-by-step explanation:
Given the data:
X:___0____1____2____3____4____5
P(x):_0.10_0.15_0.26__0.30_0.15__0.04
the expected frequency of floods per town per summer
Σ(flood per Town per summer) * probability
Σ(X)*p(x)
Σ(0*0.10) + (1*0.15) + (2*0.26) + (3*0.30) + (4*0.15) + (5*0.04)
= (0 + 0.15 + 0.52 + 0.90 + 0.60 + 0.2)
= 2.37
Variance (s²) :
Σ[x². P(x)] - u²
Using an online variance calculator to save computation time :
s² = 16731 / 10000
s² = 1.6731
2 books cost 60 dollars how much will it cost for 5 books
Answer:
150 $
Step-by-step explanation:
60 :2 =30$cost a book
5×30 =150 $cost 5 books
Or
2 books..... 60 $
5 books...... x$
x=60 ×5 :2
x=300 :2
x=150$
Answer:
60 divided by 2 is 30 meaning 30$ for each book times 5 = 150 $
Step-by-step explanation:
hope i helped
7 is 10 times the value of what number
Answer:
0.7
Step-by-step explanation:
7/10=0.7
I dont understand do I multiply four to get the area?
Answer:
yes
Step-by-step explanation:
3×5×45=365m²
Answer:
yes
Step-by-step explanation:
What is the midpoint between the following two points
(3,-2) & (9,2)
A) (6,0)
B) (0,6)
C) (3,1)
D) (3,2)
Answer:
B, (6,0)
Take the average of the x values and the average of the y values:
(3+9)/2 = 6
(-2+2)/2 = 0
This means the answer (the average (midpoint) of the two points) is (6,0)
=2 2/5 x 4 (What is the answer?)
Answer:
um 22 /20
is the question
if it's the case of factorised
than answer is 11/10
Answer:
48/5
Step-by-step explanation:
I will assume that you mean [tex](2\frac{2}{5}) \cdot 4[/tex].
This is equivalent to [tex](\frac{12}{5}) \cdot 4 = \boxed{\frac{48}{5}}[/tex]
a charity raised about 8200. if the amount of money was rounded to the nearest hundred dollars, what ciuld have been the exact amount?
Answer:
Anything from 8150 to 8249
What is the value of X? x +31 equals 66
Answer:
35
Step-by-step explanation:
Simply subtract 31 from 66 to receive the value of x
Answer:
X = 35
Step-by-step explanation:
Take 31 over to the other side so the equation looks like this
[tex]x = 66 - 31[/tex]
Then, solve for 66 - 31.
You will end up with x = 35.
You can also check your work by substituting X with 35.
Hopefully this helped :)
Henry wants to earn at least $41 trimming trees. He charges $8 per hour and pays $7 in equipment fees. What are the possible numbers of hours Henry could trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
8t - 7 ≤ 41 || t ≤ 6
Step-by-step explanation:
8t - 7 ≤ 41
+7 +7
---------------
8t ≤ 48
÷8 ÷8
----------------
t ≤ 6
Write the equation for the vertical line going through the point (16,25).
Answer:
x=16
Step-by-step explanation:
Vertical lines are of the form
x=
Since the x coordinate is 16
x=16
Answer: 16
Step-by-step explanation: x is on 16
Find the maturity value and the compound interest if $3,600 is invested at 6% compounded semi-
annually for 5 years and 7 months. Round your final answers to 2 decimal places
Answer:Answer Expert Verified. The Answer is that the present value of $100 is $100. Because this $100 dollar is deposited today so the time is equal to zero and when time is zero the value of amount is the value of amount itself.
Step-by-step explanation:
I Given f(x) = 3x + 2 and g(x)= x? – 5. Find each of the following functions.
1. (f+g)(x)
2. (f- g)(x)
3. (fg)(x)
4. (f/g)(x)
2
Answer:
a) 4x-3
b)2x+7
c) 3x^2-13x-10
d) (3x^2+2)/(x-5)
Step-by-step explanation:
If you care to learn how these were solved and weren't just looking for answer let me know.
If a =3.6 and b=10 then ab=
Answer:
36
Step-by-step explanation:
ab = a*b
a=3.6
b=10
3.6*10
=36
18% of 200 is between which two numbers?
Answer:
35&37
Step-by-step explanation:
Well 18% of 200 is 36 so...
If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?
Answer:
[tex]r=4[/tex]
Step-by-step explanation:
We know that the slope of the line is -1.
We also know that the line passes through (-9, 3) and (-10, r).
We want to find the value of r.
First, let's figure out the equation of our line. We can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).
Substitute:
[tex]y-(3)=-1(x-(-9))[/tex]
Simplify:
[tex]y-3=-(x+9)[/tex]
Distribute:
[tex]y-3=-x-9[/tex]
Add 3 to both sides. So, our equation is:
[tex]y=-x-6[/tex]
It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:
[tex]r=-(-10)-6[/tex]
Evaluate for r. Distribute:
[tex]r=10-6[/tex]
Subtract:
[tex]r=4[/tex]
So, the value of r is 4.
And we're done!
please help quickly!!!! i only have 5 minutes left ill give brainliest
Answer:
y=1/3x+2
Step-by-step explanation:
To solve, you plug in each vaule for x and y in the table. If it is a true statement for more than 1 answer, thats the correct answer
Answer: C
Step-by-step explanation:
I had this question before
A cell phone company charges $25 per month, plus $0.10 per text message sent. Before taxes, Susie’s bill was $80 for 3 months of service. How many text messages did Susie send during those 3
What is the answer for 2
Answer:
C
Step-by-step explanation:
73.89 x .05 = 3.6945
but to round it will become 3.69
Answer:
C. $3.69
Step-by-step explanation:
73.89 × 0.05 = $3.6945$3.6945 rounds to $3.69I hope this helps!
what is the product of 0.086 x 10 power 2
Answer:
The product is 8.6
Step-by-step explanation:
you move two decimal places to your right
What would be the Range of this Pattern?
A. All integers greater than 4
B. All integers greater than 0
C. All real numbers greater than 6
D. All real numbers
Answer:
All integers greater than 4
Step-by-step explanation:
I took the test.
Simplify the expression.
(x4y2)1/2
A) 2(x4y2)
B) x1/8y1/4
C) x2y
D) x8y4
Answer:
C)
when you distrbe you get x^2 y
Find all the factors of 125
Answer:
1,5,25,125,
all can be added or multiplied to equal 125
WILL GIVE BRAINLIEST!! What are the slope and the y-intercept of the linear function that is represented by the graph?
On a coordinate plane, a line goes through points (0, 3) and (4, 0).
a
The slope is Negative four-thirds, and the y-intercept is 4.
b
The slope is Negative four-thirds, and the y-intercept is 3.
c
The slope is Negative three-fourths, and the y-intercept is 4.
d
The slope is Negative three-fourths, and the y-intercept is 3.
Answer:
its d
Step-by-step explanation:
y=-3/4+3 I think that's right
Answer:
D- i think because it wouldn't be 4/3 because you cant go over 4 and up three and the y-intrecept is 3
Please vote brainliest :)
11/12 of the disk space on a
hard drive is unused. 3 people
need to use the remaining disk
space evenly. How much of the
total disk space will 1 user get?
Answer:
2 whole number 1 out of 4
Step-by-step explanation:
11/12 x 3
11/4 = 2remainder 3
2 whole number 3 out of 12
When u reduce it will be 2 whole number 1 out of 4
(WILL MARK BRAINLIEST!)
What is 0.08 written as a fraction in simplest form?
A. 1/125
B. 2/25
C. 1/12
D. 4/5
Answer:
B. 2/25
Step-by-step explanation:
Answer:
Step-by-step explanation:
B. 2/25
Perform the indicated operations. Express the result in scientific notation.
(5.7 x 105) + (4.6 x 106)-(2.9 x 105)
O 7.4 x 105
O 3.3 x 106
O 4.88 x 106
O 5.17 x 106
Answer:
The answer is C 4.88 x 106
Step-by-step explanation:
A restaurant uses 4 pounds of potatoes for a party of 12 people if they are cooking potatoes for a party of 60 people,what should they do?
Answer:
They should multiply the amount of potatoes by 5. 12 is 1/5 of 60. Therefore, if you need 4 pounds of potatoes for 12 people, then you will need 20 pounds of potatoes for 60 people.
Step-by-step explanation:
what is 8.42 times 10 to the 3rd power
Answer:
8420
Step-by-step explanation:
10 to the third power will move the decimal point three place values to the right. So, the first two times you move it, you get 842, and so there is a 0 on the end to signify that it moved the third time.
12x ÷ 4y (if x = -8 and y = 3)
Answer: -8
Step-by-step explanation: