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MAT 2100 Final Exam STUDY GUIDE Skip to Main Content Question 31 of 40 (1 point) | Question Attempt: 1 of 1 Time Remaining: 43:08 Takaila ✓ 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 80. In a random sample of 33 players, the mean rating is 86.3. Assume the population standard deviation of the ratings is known to be 22.8. Is there enough evidence to support the claim that the mean player rating is higher than 80? Perform a hypothesis test, using the 0.10 level of significance. Español (a) State the null hypothesis Ho, and the alternative hypothesis H₁. μ X Ho: ☐ H₁: □<ロ □□ □≠□ 0

MAT 2100 Final Exam STUDY GUIDE Skip to Main Content Question 31 of 40 (1 point) | Question Attempt: 1 of 1 Time Remaining: 43:08 Takaila ✓ 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 80. In a random sample of 33 players, the mean rating is 86.3. Assume the population standard deviation of the ratings is known to be 22.8. Is there enough evidence to support the claim that the mean player rating is higher than 80? Perform a hypothesis test, using the 0.10 level of significance. Español (a) State the null hypothesis Ho, and the alternative hypothesis H₁. μ X Ho: ☐ H₁: □<ロ □□ □≠□ 0

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
Section10.6: Summarizing Categorical Data
Problem 10CYU
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MAT 2100 Final Exam STUDY GUIDE Skip to Main Content Question 31 of 40 (1 point) | Question Attempt: 1 of 1 Time Remaining: 43:08 Takaila ✓ 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 80. In a random sample of 33 players, the mean rating is 86.3. Assume the population standard deviation of the ratings is known to be 22.8. Is there enough evidence to support the claim that the mean player rating is higher than 80? Perform a hypothesis test, using the 0.10 level of significance. Español (a) State the null hypothesis Ho, and the alternative hypothesis H₁. μ X Ho: ☐ H₁: □<ロ □□ □≠□ 0<O ローロ OZO (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. Continue The value of the test statistic is given by χ-μ 0 5 • The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution Sten 1. Select one-tailed or two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2- Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.1 ? Submit Assignment © 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility (c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the studio. ○ 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 80. 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 80. 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 80. 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 80.
Transcribed Image Text:MAT 2100 Final Exam STUDY GUIDE Skip to Main Content Question 31 of 40 (1 point) | Question Attempt: 1 of 1 Time Remaining: 43:08 Takaila ✓ 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 80. In a random sample of 33 players, the mean rating is 86.3. Assume the population standard deviation of the ratings is known to be 22.8. Is there enough evidence to support the claim that the mean player rating is higher than 80? Perform a hypothesis test, using the 0.10 level of significance. Español (a) State the null hypothesis Ho, and the alternative hypothesis H₁. μ X Ho: ☐ H₁: □<ロ □□ □≠□ 0<O ローロ OZO (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. Continue The value of the test statistic is given by χ-μ 0 5 • The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution Sten 1. Select one-tailed or two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2- Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.1 ? Submit Assignment © 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility (c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the studio. ○ 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 80. 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 80. 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 80. 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 80.
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