In 2001, the U.S. Department of Labor reported the average ho workers to be $14.32 per hour. We would like to determine if an increase has occurred in the average hourly earnings since 2001. A sample of 75 production workers during 2016 was selec and the population standard deviation is assumed to be $1.45. (a) What are the null and the alternative hypotheses? [ Select ] (b) If the sample average hourly earnings of these 75 workers are $14.68, what is the test statis for this test? [Select] (c) If the sample average hourly earnings of the 75 workers are $14.68, what is the critical value using the critical value approach? Assume 5% significance level (a = 5%). [ Select ]

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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In 2001, the U.S. Department of Labor reported the average hourly earnings for U.S. pro
workers to be $14.32 per hour. We would like to determine if an increase has occurred in the
average hourly earnings since 2001. A sample of 75 production workers during 2016 was selected
and the population standard deviation is assumed to be $1.45.
(a) What are the null and the alternative hypotheses? [ Select ]
(b) If the sample average hourly earnings of these 75 workers are $14.68, what is the test statistic
for this test? [Select ]
(c) If the sample average hourly earnings of the 75 workers are $14.68, what is the critical value
using the critical value approach? Assume 5% significance level (a = 5%).
[ Select ]
(d) If the sample average is $14.68, what's the p-value? [Select ]
(e) If the sample average is $14.68, what are the statistical and substantive conclusions? Assume a
5%. [Select]
(f) What would be the conclusion of the test if the sample average turns out to be $14? Assume a =
5%. [Select]
E) What is the p-value if the sample average turns out to be $20? [Select]
Transcribed Image Text:In 2001, the U.S. Department of Labor reported the average hourly earnings for U.S. pro workers to be $14.32 per hour. We would like to determine if an increase has occurred in the average hourly earnings since 2001. A sample of 75 production workers during 2016 was selected and the population standard deviation is assumed to be $1.45. (a) What are the null and the alternative hypotheses? [ Select ] (b) If the sample average hourly earnings of these 75 workers are $14.68, what is the test statistic for this test? [Select ] (c) If the sample average hourly earnings of the 75 workers are $14.68, what is the critical value using the critical value approach? Assume 5% significance level (a = 5%). [ Select ] (d) If the sample average is $14.68, what's the p-value? [Select ] (e) If the sample average is $14.68, what are the statistical and substantive conclusions? Assume a 5%. [Select] (f) What would be the conclusion of the test if the sample average turns out to be $14? Assume a = 5%. [Select] E) What is the p-value if the sample average turns out to be $20? [Select]
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