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 84? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H and the alternative hypothesis H,. ロ<ロ ロSロ ロ>ロ H: 0 ロ2ロ ロ=ロ ロォロ (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. の

A First Course in Probability (10th Edition)
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Please assist with a,b,c 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
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 84? Perform a hypothesis test, using the
0.05 level of significance.
(a) State the null hypothesis H and the alternative hypothesis H,.
O<O
OSO
H: 0
O=0
(b) Perform a Z-test and find the p-value.
Here is some information to help you with your Z-test.
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 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 84? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H and the alternative hypothesis H,. O<O OSO H: 0 O=0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test.
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
0.4
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.)
Transcribed Image Text:Standard Normal Distribution Step 1: Select one-tailed or two-tailed. 0.4 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.)
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