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 84. In a random sample of 68 players, the mean rating is 87.5. 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 847 Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H and the alternative hypothesis H Ho: H₁: D X Emely P Es 020 0-0 0-0 X 6 (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 Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. 02 4 00 (b) Perform a 2-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 χαμ √n • 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. One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 01- 02- Step 3: Shade the area represented by the p-value. 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 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 $4. X

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 84. In a random sample of 68 players, the mean rating is 87.5. 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 847 Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H and the alternative hypothesis H Ho: H₁: D X Emely P Es 020 0-0 0-0 X 6 (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 Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. 02 4 00 (b) Perform a 2-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 χαμ √n • 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. One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 01- 02- Step 3: Shade the area represented by the p-value. 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 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 $4. X

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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