Question

A store owner claims the average age of her customers is 34
years. She took a survey of 36 randomly selected customers and
found the average age to be 37.5 years with a standard error of
2.534. Carry out a hypothesis test to determine if her claim is
valid.

(b) Find the test statistic: (Use 4
decimals.)

(c) What is the P-value? (Use 4 decimals.)

(d) What should the store owner conclude, for α = 0.05?

Reject the initial claim of 34 years. There is sufficient evidence the mean customer age is different than 34.

Do not reject the initial claim of 34 years. There is sufficient evidence the mean customer age is different than 34.

Reject the initial claim of 34 years. There is insufficient evidence the mean customer age is different than 34.

Do not reject the initial claim of 34 years. There is
insufficient evidence the mean customer age is different than
34.

(e) If mean customer age really is equal to 35.8 years, but you
conclude it is equal to 34 years, which type of error did you make,
if any?

Both Type I and Type II error

Type II error

Type I error

The p-value is correct; therefore no error was made

Answer #1

A store owner claims the average age of her customers is 28
years. She took a survey of 38 randomly selected customers and
found the average age to be 29.7 years with a standard error of
1.180. Carry out a hypothesis test to determine if her claim is
valid.
(a) Which hypotheses should be tested?
- H0: μ = 28 vs. Ha: μ > 28
- H0: μ = 29.7 vs. Ha: μ ≠
29.7
- H0: μ = 28...

In a retail store, a sample of 36 customers had an average age
of 38.7 years and standard deviation is 12.5. A retail store owner
claims that the average age of their customers is less than 40
years old. Test this claim at = 0.05 .
i want the answer

A store owner surveyed 25 randomly selected customers and found
the ages shown (in years). The mean is 27.08 and the standard
deviation is 11.73 The owner wants to know if the mean age of all
customers is 32 years old.
11
16
28
43
49
41
33
17
35
36
15
24
15
11
35
25
34
40
41
32
22
13
34
11
16
c) What is the value of the test statistic?
d) What is the P-value...

A sporting goods store believes the average age of its customers
is 37 or less. A random sample of 40 customers was surveyed, and
the average customer age was found to be 40.2 years. Assume the
standard deviation for customer age is 9.0 years. Using
alphaequals0.10, complete parts a and b below.
a. Does the sample provide enough evidence to refute the age
claim made by the sporting goods store?
Determine the null and alternative hypotheses. Upper H 0: mu...

A sporting goods store believes the average age of its customers
is 36 or less. A random sample of 38 customers was surveyed, and
the average customer age was found to be 38.9 years. Assume the
standard deviation for customer age is 9.0 years. Using α=0.01,
complete parts a and b below.
a. Does the sample provide enough evidence to refute the age
claim made by the sporting goods store?
Determine the null and alternative hypotheses.
H0: μ ▼ less...

The owner of a local nightclub has recently surveyed a random
sample of n = 49 customers. She would now like to determine whether
the mean age of her customers is greater than 30. If so, she plans
to alter the entertainment to appeal to an older crowd. If not, no
entertainment changes will be made. Suppose she found that the
sample mean was 32.5 years and the sample standard deviation was 5
years. Assuming a levelof significance of 0.01,...

1-
The mean age of bus drivers in Chicago is 55.3 years. If a
hypothesis test is performed, how should you interpret a decision
that rejects the null hypothesis?
A.There is sufficient evidence to support the claim u= 55.3
B. There is sufficient evidence to reject the claim u = 55.3
C.There is not sufficient evidence to reject the claim u =
55.3
D.There is not sufficient evidence to support the claim u =
55.3.
2-
The dean of a...

The average retirement age in America is 64 years old. Do small
business owners retire at a younger average age? The data below
shows the results of a survey of small business owners who have
recently retired. Assume that the distribution of the population is
normal.
69, 53, 50, 58, 69, 68, 68, 51, 70, 67, 60, 55, 63, 56, 53,
69
What can be concluded at the the αα = 0.10 level of significance
level of significance?
For this...

The average retirement age in America is 64 years old. Do small
business owners retire at a younger average age? The data below
shows the results of a survey of small business owners who have
recently retired. Assume that the distribution of the population is
normal.
64, 59, 67, 58, 54, 63, 54, 63, 62, 56, 59, 67
What can be concluded at the the αα = 0.01 level of significance
level of significance?
For this study, we should use...

Let x = age in years of a rural Quebec woman at the time of her
first marriage. In the year 1941, the population variance of x was
approximately σ2 = 5.1. Suppose a recent study of age at first
marriage for a random sample of 51 women in rural Quebec gave a
sample variance s2 = 3.2. Use a 5% level of significance to test
the claim that the current variance is less than 5.1. Find a 90%
confidence...

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