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A politician claims the mean salary for managers in his state is more than the national me ,000. Assume the the the the populator normally distributed and the population standard deviation is salaries (in dollars) for a random sample of 30 managers in the state are listed. At a=0.09, is there enough evidence to support the claim? Use technology. 72,733 77,504 71,710 86,678 81,200 92,078 OD. Ho: >83,000 H₂:μ≤83,000 92,111 93,702 94,918 (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: μ283,000 Hg:μ <83,000 94,559 75,990 70,455 97,281 92,991 85,099 OB. Ho: μ=83,000 H₂:μ#83,000 E. Ho: μ≤83,000 H₂:μ> 83,000 C (b) Identify the standardized test statistic. z= 1.91 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) (c) Find the P-value. Use technology. 92,720 87,943 92,455 92,975 95,640 99,029 93,895 83,864 70,547 OC. Ho: 83,000 H₂: μ =83,000 OF. Ho: >83,000 H₂:μ≤83,000 72,826 85,388 87,528 86,9 91,7 70,7

A politician claims the mean salary for managers in his state is more than the national me ,000. Assume the the the the populator normally distributed and the population standard deviation is salaries (in dollars) for a random sample of 30 managers in the state are listed. At a=0.09, is there enough evidence to support the claim? Use technology. 72,733 77,504 71,710 86,678 81,200 92,078 OD. Ho: >83,000 H₂:μ≤83,000 92,111 93,702 94,918 (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: μ283,000 Hg:μ <83,000 94,559 75,990 70,455 97,281 92,991 85,099 OB. Ho: μ=83,000 H₂:μ#83,000 E. Ho: μ≤83,000 H₂:μ> 83,000 C (b) Identify the standardized test statistic. z= 1.91 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) (c) Find the P-value. Use technology. 92,720 87,943 92,455 92,975 95,640 99,029 93,895 83,864 70,547 OC. Ho: 83,000 H₂: μ =83,000 OF. Ho: >83,000 H₂:μ≤83,000 72,826 85,388 87,528 86,9 91,7 70,7

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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A politician claims that the mean salary for managers in his state is more than the national mean, $83,000. Assume the the population is normally distributed and the population standard deviation is $8900. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At x = 0.09, is there enough evidence to support the claim? Use technology. 72,733 77,504 71,710 A. Ho: μ ≥ 83,000 H₂:μ< 83,000 86,678 81,200 92,078 (a) Identify the null hypothesis and alternative hypothesis. D. Ho: μ> 83,000 H₂:μ≤83,000 92,111 93,702 94,918 (b) Identify the standardized test statistic. 94,559 75,990 70,455 97,281 92,991 85,099 B. Ho: μ = 83,000 Ha: μ#83,000 E. Ho: μ≤83,000 Ha: μ> 83,000 Z = 1.91 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) (c) Find the P-value. Use technology. (Round to three decimal places as needed.) 92,720 87,943 92,455 92,975 95,640 99,029 93,895 83,864 70,547 C. Ho: μ#83,000 Ha: μ = 83,000 F. Ho: μ> 83,000 H₂:μ≤ 83,000 72,826 85,388 87,528 86,979 91,704 70,712 U
Transcribed Image Text:A politician claims that the mean salary for managers in his state is more than the national mean, $83,000. Assume the the population is normally distributed and the population standard deviation is $8900. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At x = 0.09, is there enough evidence to support the claim? Use technology. 72,733 77,504 71,710 A. Ho: μ ≥ 83,000 H₂:μ< 83,000 86,678 81,200 92,078 (a) Identify the null hypothesis and alternative hypothesis. D. Ho: μ> 83,000 H₂:μ≤83,000 92,111 93,702 94,918 (b) Identify the standardized test statistic. 94,559 75,990 70,455 97,281 92,991 85,099 B. Ho: μ = 83,000 Ha: μ#83,000 E. Ho: μ≤83,000 Ha: μ> 83,000 Z = 1.91 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) (c) Find the P-value. Use technology. (Round to three decimal places as needed.) 92,720 87,943 92,455 92,975 95,640 99,029 93,895 83,864 70,547 C. Ho: μ#83,000 Ha: μ = 83,000 F. Ho: μ> 83,000 H₂:μ≤ 83,000 72,826 85,388 87,528 86,979 91,704 70,712 U
Test the claim about the population mean μ at the level of significance a. Assume the population is normally distributed. Claim: μ<4915; a = 0.02 Sample statistics: x=5017, s=5613, n = 54 What are the null and alternative hypotheses? Ho: μ 4915 Ha: μ < 4915 (Type integers or decimals. Do not round.) Find the standardized test statistic t. t = 0.13 (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.)
Transcribed Image Text:Test the claim about the population mean μ at the level of significance a. Assume the population is normally distributed. Claim: μ<4915; a = 0.02 Sample statistics: x=5017, s=5613, n = 54 What are the null and alternative hypotheses? Ho: μ 4915 Ha: μ < 4915 (Type integers or decimals. Do not round.) Find the standardized test statistic t. t = 0.13 (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.)
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