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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 mean player rating, H, will be higher than 84. In a random sample of 82 players, the mean rating is 85.6. Assume the population standard deviation of the ratings is known to be 14.3. Is there enough evidence to support the claim that the mean player rating is higher than 84? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho 0 H,: 0 O

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 mean player rating, H, will be higher than 84. In a random sample of 82 players, the mean rating is 85.6. Assume the population standard deviation of the ratings is known to be 14.3. Is there enough evidence to support the claim that the mean player rating is higher than 84? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho 0 H,: 0 O

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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Answer all the related question on this problem. Specifically letter a,b, and c.

1 7 8. 9 10 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, , will be higher than 84. In a random sample of 82 players, the mean rating is 85.6. Assume the population standard deviation of the ratings is known to be 14.3. Is there enough evidence to support the claim that the mean player rating is higher than 84? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho: 0 H,: 0 OSO D20 D=D (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 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. O One-tailed O Tun toiled
Transcribed Image Text:1 7 8. 9 10 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, , will be higher than 84. In a random sample of 82 players, the mean rating is 85.6. Assume the population standard deviation of the ratings is known to be 14.3. Is there enough evidence to support the claim that the mean player rating is higher than 84? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho: 0 H,: 0 OSO D20 D=D (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 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. O One-tailed O Tun toiled
Español (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 In • The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution 0. Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) -2 Step 4: Enter the p-value. (Round to 3 decimal places.) -2 (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 84. 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 84. 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 84. 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 84. Submit Accianme Continue
Transcribed Image Text:Español (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 In • The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution 0. Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) -2 Step 4: Enter the p-value. (Round to 3 decimal places.) -2 (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 84. 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 84. 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 84. 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 84. Submit Accianme Continue
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