Answer Happy

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, u, will be higher than 75. In a random sample of 41 players, the mean rating is 77.9. Assume the population standard deviation of the ratings is known to be 19.6. Is there enough evidence to support the claim that the mean player rating is higher than 75? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Hand the alternative hypothesis H. XI H: 0 H: ロ<ロ OSO D> DO D=0 ロプロ Х 5 ?

(b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. x-μ • The value of the test statistic is given by o • The p-value is 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. O One-tailed OTwo-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.)

> (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. х х 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 75. 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 75. 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 75. 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 75.