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A manufacturer of car batteries claims that the life of the company's batteries in years is approximately normally distributed with a population variance of 0.81. A random sample of 10 of these batteries has a variance of 1.44. You will test the claim that the population variance is more than 0.81 using an a =0.05 level of significance. The p-value for this test is 0.07. Make an appropriate conclusion. O Reject the null hypothesis and conclude that the population variance is greater than 0.81. O Fail to reject the null hypothesis and conclude that the population variance is less than or equal to 0.81. O The test is inconclusive because the p-value is nearly 0. O One can not make a decision with the p-value alone. We need both a p-value and the value of test statistic to make a conclusion.

A manufacturer of car batteries claims that the life of the company's batteries in years is approximately normally distributed with a population variance of 0.81. A random sample of 10 of these batteries has a variance of 1.44. You will test the claim that the population variance is more than 0.81 using an a =0.05 level of significance. The p-value for this test is 0.07. Make an appropriate conclusion. O Reject the null hypothesis and conclude that the population variance is greater than 0.81. O Fail to reject the null hypothesis and conclude that the population variance is less than or equal to 0.81. O The test is inconclusive because the p-value is nearly 0. O One can not make a decision with the p-value alone. We need both a p-value and the value of test statistic to make a conclusion.

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
Section10.4: Distributions Of Data
Problem 19PFA
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A manufacturer of car batteries claims that the life of the company's batteries in years is approximately normally distributed with a population variance of 0.81. A random sample of 10 of these batteries has a variance of 1.44. You will test the claim that the population variance is more than 0.81 using an a =0.05 level of significance. The p-value for this test is 0.07. Make an appropriate conclusion. O Reject the null hypothesis and conclude that the population variance is greater than 0.81. O Fail to reject the null hypothesis and conclude that the population variance is less than or equal to 0.81. O The test is inconclusive because the p-value is nearly 0. One can not make a decision with the p-value alone. We need both a p-value and the value of test statistic to make a conclusion.
Transcribed Image Text:A manufacturer of car batteries claims that the life of the company's batteries in years is approximately normally distributed with a population variance of 0.81. A random sample of 10 of these batteries has a variance of 1.44. You will test the claim that the population variance is more than 0.81 using an a =0.05 level of significance. The p-value for this test is 0.07. Make an appropriate conclusion. O Reject the null hypothesis and conclude that the population variance is greater than 0.81. O Fail to reject the null hypothesis and conclude that the population variance is less than or equal to 0.81. O The test is inconclusive because the p-value is nearly 0. One can not make a decision with the p-value alone. We need both a p-value and the value of test statistic to make a conclusion.
A random sample of test scores for an apptitude test is given below. Use a = .05 to perform the goodness of fit test to see whether the data came from a Normal distribution. What is the rejection for this test? 55, 86, 94, 58, 55, 95, 55, 52, 69, 95, 90, 65, 87, 50, 56, 55, 57, 98, 58, 79, 92, 62, 59, 88, 65. Reject H if Test Statistic > x? where a is the level of significance and there are k-3 degrees of freedom 0. where k is the number of intervals that are used to bin or group data. O Reject H if Test Statistic > where a is the level of significance and there are k-3 degrees of freedom a/2 where k is the number of intervals that are used to bin or group data, O Reject H if Test Statistic > x? where a is the level of significance and there are k-1 degrees of freedom where k is the number of intervals that are used to bin or group data. O Reject H if Test Statistic > y where a is the level of significance and there are k-2 degrees of freedom where k is the number of intervals that are used to bin or group data,
Transcribed Image Text:A random sample of test scores for an apptitude test is given below. Use a = .05 to perform the goodness of fit test to see whether the data came from a Normal distribution. What is the rejection for this test? 55, 86, 94, 58, 55, 95, 55, 52, 69, 95, 90, 65, 87, 50, 56, 55, 57, 98, 58, 79, 92, 62, 59, 88, 65. Reject H if Test Statistic > x? where a is the level of significance and there are k-3 degrees of freedom 0. where k is the number of intervals that are used to bin or group data. O Reject H if Test Statistic > where a is the level of significance and there are k-3 degrees of freedom a/2 where k is the number of intervals that are used to bin or group data, O Reject H if Test Statistic > x? where a is the level of significance and there are k-1 degrees of freedom where k is the number of intervals that are used to bin or group data. O Reject H if Test Statistic > y where a is the level of significance and there are k-2 degrees of freedom where k is the number of intervals that are used to bin or group data,
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