1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tiny-mole [99]
3 years ago
11

A study is performed in San Antonio to determine whether the average weekly grocery bill per five-person family in the town is s

ignificantly different from the national average. A random sample of 50 five-person families in San Antonio showed a mean of $133.474 and a standard deviation of $11.193. Assume that the national average weekly grocery bill for a five-person family is $131.
Is the sample evidence statistically significant? If so, at what significance levels can you reject the null hypothesis?
Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0

Answer:

No, the sample evidence is not statistically significant (P-value = 0.125).

To reject the null hypothesis, the P-value has to be smaller than the significance level, so the significance level to reject the null hypothesis has to be 0.125 or higher.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average weekly grocery bill per five-person family in San Antonio is significantly different from the national average.

Then, the null and alternative hypothesis are:

H_0: \mu=131\\\\H_a:\mu\neq 131

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=133.474.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=11.193.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{11.193}{\sqrt{50}}=1.583

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{133.474-131}{1.583}=\dfrac{2.474}{1.583}=1.563

The degrees of freedom for this sample size are:

df=n-1=50-1=49

This test is a two-tailed test, with 49 degrees of freedom and t=1.563, so the P-value for this test is calculated as (using a t-table):

P-value=2\cdot P(t>1.563)=0.125

As the P-value (0.125) is bigger than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the average weekly grocery bill per five-person family in San Antonio is significantly different from the national average.

You might be interested in
If EF = 5w + 20, FG = 7w + 28, and EG = 72, find the value of w. Find EF and FG
IrinaK [193]

Answer:

 w = 2, EF = 30 , FG = 42

Explanation:

We have EF = 5w + 20  and FG = 7w + 28

 Since these points E, F and G are col-linear points we have.

    EG = EF + FG

  And given that EG = 72

So, EF+EG = 72

     5w + 20 + 7w + 28 = 72

     12w + 48 = 72

      12 w = 24

       w = 2

So EF = 5w + 20 = 5x2 + 20 = 30

     FG = 7w + 28 = 7x2 + 28 = 42

7 0
3 years ago
Lorraine and her family went to the beach for 4 hours on Sunday. They left the beach at 4:20 P.M. What time did they arrive at t
Airida [17]

ok so take 4:20 pm and subtract 4 hrs from it so they left at 12: 20 pm

hope this helps :)

3 0
3 years ago
Joe asked the children in his class which flavours of ice-cream they like.
Leya [2.2K]

Answer:

a. 19

b. 14

Step-by-step explanation:

From the venn diagram, we see that:

9 children like only Vanilla

7 like vanilla and chocolate

12 like only chocolate, and

2 like neither chocolate nor vanilla

Thus:

a. Number of children that liked Chocolate ice-cream = those that like chocolate only + those that like both chocolate and vanilla = 12 + 7 = 19

19 children like chocolate ice-cream.

b. Number of children who do not like Vanilla ice-cream = those that like chocolate only + those that do not like neither chocolate nor vanilla = 12 + 2 = 14

14 children do not like vanilla ice-cream.

5 0
3 years ago
What is the initial value of y= 8x+7
allochka39001 [22]

Answer:

7

Step-by-step explanation:

The initial value is another name for the y-intercept. This equation is written in point slope form (y=mx+b). And before you think y-intercept means y, right? No that is incorrect, I got that wrong in the beginning too ;)

y=mx+b

y=8x+7

b in the point slope form equation is always the initial value or y-intercept or whatever people call it. So what substitutes b out here? 7. So 7 is the initial value!

:) Hope you understand now! Have a good day!

8 0
3 years ago
a basketball coach keeps track of the points scored per game for all her players.she gives a trophy to the player with the highe
podryga [215]
The answer would be C. When you calculate the mean, it includes every number for a certain period of time into things and averages it out. The median does not average out all the numbers.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me on #30 and explain thank you
    12·1 answer
  • An example of heat transfer by convection is the ____.
    12·1 answer
  • The county animal park is shaped like a triangle. Two perpendicular sides of the park measure 2.3 miles and 3.4 miles. What is t
    13·1 answer
  • Find the next term in the sequence 1, 4, 9, 16, 25, ….
    12·1 answer
  • Here is a Fill in the Gaps Question:
    9·2 answers
  • Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180.
    8·1 answer
  • Write down the integer values that satisfy the inequality -5<_x<3
    6·1 answer
  • PLEASE AWNSER SOON IT'S DUE IN 10 MIN!
    14·2 answers
  • A number rounded to the nearest hundred thousand is 400,000 the same number rounded to the nearest ten thousand is 350,000 what
    14·1 answer
  • If 4x - 9 = 35,<br> find the value of 6x + 4
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!