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After a lot of hard work, a studio releases a new video game. The studio believes that the game will be liked by players; in particular, the studio claims that the mean player rating, μ, will be higher than 90. In a random sample of 34 players, the mean rating is 95.2. Assume the population standard deviation of the ratings is known to be 12.7. Is there enough evidence to support the claim that the mean player rating is higher than 90? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. μ X Ho: O H₁:0 OO П= UKU

After a lot of hard work, a studio releases a new video game. The studio believes that the game will be liked by players; in particular, the studio claims that the mean player rating, μ, will be higher than 90. In a random sample of 34 players, the mean rating is 95.2. Assume the population standard deviation of the ratings is known to be 12.7. Is there enough evidence to support the claim that the mean player rating is higher than 90? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. μ X Ho: O H₁:0 OO П= UKU

MATLAB: An Introduction with Applications
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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After a lot of hard work, a studio releases a new video game. The studio believes that the game will be liked by players; in particular, the studio claims that the mean player rating, μ, will be higher than 90. In a random sample of 34 players, the mean rating is 95.2. Assume the population standard deviation of the ratings is known to be 12.7. Is there enough evidence to support the claim that the mean player rating is higher than 90? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. μ X 0² Ho: O H₁:0 O<O ロマロ OSO O<O 0=0 0#0 ? X 3
Transcribed Image Text:After a lot of hard work, a studio releases a new video game. The studio believes that the game will be liked by players; in particular, the studio claims that the mean player rating, μ, will be higher than 90. In a random sample of 34 players, the mean rating is 95.2. Assume the population standard deviation of the ratings is known to be 12.7. Is there enough evidence to support the claim that the mean player rating is higher than 90? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. μ X 0² Ho: O H₁:0 O<O ロマロ OSO O<O 0=0 0#0 ? X 3
(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. X-H • The value of the test statistic is given √n The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution 0.4 Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 02+ Step 3: Shade the area represented by the p-value. al+ Step 4: Enter the p-value. (Round to 3 decimal places.) X (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 studio. 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 support the claim that the mean player rating is higher than 90. X 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 support the claim that the mean player rating is higher than 90. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean player rating is higher than 90. 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 support the claim that the mean player rating is higher than 90. 41
Transcribed Image Text:(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. X-H • The value of the test statistic is given √n The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution 0.4 Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 02+ Step 3: Shade the area represented by the p-value. al+ Step 4: Enter the p-value. (Round to 3 decimal places.) X (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 studio. 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 support the claim that the mean player rating is higher than 90. X 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 support the claim that the mean player rating is higher than 90. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean player rating is higher than 90. 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 support the claim that the mean player rating is higher than 90. 41
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