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Here is some information to help you with your Z-test. • The value of the test statistic is given by - • The p-value is two times the area under the curve to the right of the value of the test statistic. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. One-tailed Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 02- Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) ? (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the company. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 18 years. ?

Here is some information to help you with your Z-test. • The value of the test statistic is given by - • The p-value is two times the area under the curve to the right of the value of the test statistic. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. One-tailed Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 02- Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) ? (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the company. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 18 years. ?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, µ, of 18 years. To test the company's claim, a competitor has selected 56 of these batteries at random. The mean lifetime of the sample is 18.9 years. Suppose the population standard deviation of these lifetimes is known to be 4.8 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 18 years? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho: 0 O<O OSO D=0
Transcribed Image Text:A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, µ, of 18 years. To test the company's claim, a competitor has selected 56 of these batteries at random. The mean lifetime of the sample is 18.9 years. Suppose the population standard deviation of these lifetimes is known to be 4.8 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 18 years? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho: 0 O<O OSO D=0
(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by • The p-value is two times the area under the curve to the right of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 02- Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) ? (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the company. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 18 years. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean lifetime of the newest model of battery is 18 years. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 18 years. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean lifetime of the newest model of battery is 18 years.
Transcribed Image Text:(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by • The p-value is two times the area under the curve to the right of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 02- Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) ? (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the company. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 18 years. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean lifetime of the newest model of battery is 18 years. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean lifetime of the newest model of battery is 18 years. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean lifetime of the newest model of battery is 18 years.
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