A sporting goods store believes the average age of its customers is 37 or less. A random sample of 42 customers was surveyed, and the average customer age was found to be 39.3 years. Assume the standard deviation for customer age is 8.0 years. Using a = 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. Нон H₁: H The z-test statistic is (Round to two decimal places as needed.) The critical z-score(s) is(are). (Round to two decimal places as needed. U a comma to separate answers as needed.) Because the test statistic b. Determine the p-value for this test. The p-value is (Round to three decimal places as needed.). the null hypothesis. CETTE

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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O
A sporting goods store believes the average age of its customers is 37 or less. A random sample of 42 customers was surveyed, and the average customer age was found to be 39.3 years. Assume the standard deviation for customer
age is 8.0 years. Using a = 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.
Ном
H₁: H
The z-test statistic is
(Round to two decimal places as needed.)
The critical z-score(s) is(are).
(Round to two decimal places as needed. Us a comma to separate answers as needed.)
Because the test statistic
b. Determine the p-value for this test.
The p-value is.
(Round to three decimal places as needed.)
esc
D
F1
@
2
F2
20
#
3
F3
$
4
F4
the null hypothesis.
%
5
F5
MacBook Air
A
6
F6
&
7
F7
* CO
8
▶11
F8
1
9
F9
C
0
Time Remaining: 01:31:36
F10
F11
A
+
Next
F12
G
delete
Transcribed Image Text:O A sporting goods store believes the average age of its customers is 37 or less. A random sample of 42 customers was surveyed, and the average customer age was found to be 39.3 years. Assume the standard deviation for customer age is 8.0 years. Using a = 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. Ном H₁: H The z-test statistic is (Round to two decimal places as needed.) The critical z-score(s) is(are). (Round to two decimal places as needed. Us a comma to separate answers as needed.) Because the test statistic b. Determine the p-value for this test. The p-value is. (Round to three decimal places as needed.) esc D F1 @ 2 F2 20 # 3 F3 $ 4 F4 the null hypothesis. % 5 F5 MacBook Air A 6 F6 & 7 F7 * CO 8 ▶11 F8 1 9 F9 C 0 Time Remaining: 01:31:36 F10 F11 A + Next F12 G delete
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