#25). Both photos are the same problem. Determine if this test is left-tailed, right-tailed, or two-tailed.Oright-tailedO left-tailedO two-tailedShould the standard normal (z) distribution or Student's (t) distribution be used for this test?O The Student's t distribution should be usedO The standard normal (z) distribution should be usedDetermine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. Ifmore than one critical value exists, enter the solutions using a comma-separated list.Determine the test statistic. Round the solution to two decimal places.Determine the appropriate conclusion for this hypothesis test.O The sample data do not provide sufficient evidence to reject the null hypothesis that the meanlifespan of batteries produced by this company is at least 4 years and thus we conclude that thecompany's claim that the batteries last at least 4 years is likely true.O The sample data do not provide sufficient evidence to reject the alternative hypothesis that themean lifespan of batteries produced by this company is less than 4 years and thus we conclude thatthe company's claim that the batteries last at least 4 years is likely false.O The sample data provide sufficient evidence to reject the null hypothesis that the mean lifespan ofbatteries produced by this company is at least 4 years and thus we conclude that the company'sclaim that the batteries last at least 4 years is likely false.O The sample data provide sufficient evidence to reject the alternative hypothesis that the meanlifespan of batteries produced by this company is less than 4 years and thus we conclude that thecompany's claim that the batteries last at least 4 years is likely true. A car battery manufacturer claims that its car batteries last at least 4 years on average, under normaloperating conditions. However, many consumers have experienced battery failure well before 4 years. Aconsumer advocacy group decided to investigate the company to determine if the company's claim aboutthe average lifespan of their car batteries is exaggerated and misleading.A random sample of 72 batteries was collected and tested by the consumer advocacy group and the meanlifespan was found to be 3.86 years.Use the critical value method to test the hypothesis that the mean lifespan of this brand of car battery isless than 4 years, using a = 0.025. Assume that the standard deviation of the lifespans of all batteriesproduced by this company is known to be 0.58 years.State the null and alternative hypothesis for this test.Ho: ? vH:? vDetermine if this test is left-tailed, right-tailed, or two-tailed.O right-tailedO left-tailedO two-tailedShould the standard normal (z) distribution or Student's (t) distribution be used for this test?O The Student's t distribution should be usedO The standard normal (z) distribution should be usedDetermine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. Ifmore than one critical value exists, enter the solutions using a comma-separated list.Determine the test statistic. Round the solution to two decimal places.Determine the appropriate conclusion for this hypothesis test.O The sample data do not provide sufficient evidence to reject the null hypothesis that the meanlifespan of batteries produced by this company is at least 4 years and thus we conclude that thecompany's claim that the batteries last at least 4 years is likely true.

Given that Sample size n =72 Sample mean =3.86 Population standard deviation =0.58

A car battery manufacturer claims that its car batteries last at least 4 years on average, under normal operating conditions. However, many consumers have experienced battery failure well before 4 years. A consumer advocacy group decided to investigate the company to determine if the company's claim about the average lifespan of their car batteries is exaggerated and misleading. A random sample of 72 batteries was collected and tested by the consumer advocacy group and the mean lifespan was found to be 3.86 years. Use the critical value method to test the hypothesis that the mean lifespan of this brand of car battery is less than 4 years, using a = 0.025. Assume that the standard deviation of the lifespans of all batteries produced by this company is known to be 0.58 years. State the null and alternative hypothesis for this test. Ho:? v H:2 v Determine if this test is left-tailed, right-tailed, or two-tailed. O right-tailed O left-tailed O two-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The Student's t distribution should be used OThe standard normal (z) distribution should be used Determine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list. Determine the test statistic. Round the solution to two decimal places. Determine the appropriate conclusion for this hypothesis test. O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean lifespan of batteries produced by this company is at least 4 years and thus we conclude that the company's claim that the batteries last at least 4 years is likely true.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

#25). Both photos are the same problem.

Determine if this test is left-tailed, right-tailed, or two-tailed.
Oright-tailed
O left-tailed
O two-tailed
Should the standard normal (z) distribution or Student's (t) distribution be used for this test?
O The Student's t distribution should be used
O The standard normal (z) distribution should be used
Determine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. If
more than one critical value exists, enter the solutions using a comma-separated list.
Determine the test statistic. Round the solution to two decimal places.
Determine the appropriate conclusion for this hypothesis test.
O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean
lifespan of batteries produced by this company is at least 4 years and thus we conclude that the
company's claim that the batteries last at least 4 years is likely true.
O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the
mean lifespan of batteries produced by this company is less than 4 years and thus we conclude that
the company's claim that the batteries last at least 4 years is likely false.
O The sample data provide sufficient evidence to reject the null hypothesis that the mean lifespan of
batteries produced by this company is at least 4 years and thus we conclude that the company's
claim that the batteries last at least 4 years is likely false.
O The sample data provide sufficient evidence to reject the alternative hypothesis that the mean
lifespan of batteries produced by this company is less than 4 years and thus we conclude that the
company's claim that the batteries last at least 4 years is likely true.

Transcribed Image Text:A car battery manufacturer claims that its car batteries last at least 4 years on average, under normal operating conditions. However, many consumers have experienced battery failure well before 4 years. A consumer advocacy group decided to investigate the company to determine if the company's claim about the average lifespan of their car batteries is exaggerated and misleading. A random sample of 72 batteries was collected and tested by the consumer advocacy group and the mean lifespan was found to be 3.86 years. Use the critical value method to test the hypothesis that the mean lifespan of this brand of car battery is less than 4 years, using a = 0.025. Assume that the standard deviation of the lifespans of all batteries produced by this company is known to be 0.58 years. State the null and alternative hypothesis for this test. Ho: ? v H:? v Determine if this test is left-tailed, right-tailed, or two-tailed. O right-tailed O left-tailed O two-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The Student's t distribution should be used O The standard normal (z) distribution should be used Determine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list. Determine the test statistic. Round the solution to two decimal places. Determine the appropriate conclusion for this hypothesis test. O The sample data do not provide sufficient evidence to reject the null hypothesis that the mean lifespan of batteries produced by this company is at least 4 years and thus we conclude that the company's claim that the batteries last at least 4 years is likely true.

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