Please assist with A,b,cPart 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. Is the p value greater than or less than the level of confidence. Is there enough evidence to support the claim that the mean player rating is high than 90? • The value of the test statistic is given byVn• The p-value is the area under the curve to the right of the value of the test statistic.Standard Normal Distribution0.4Step 1: Select one-tailed or two-tailed.O One-tailedO Two-tailed0.3Step 2: Enter the test statistic.(Round to 3 decimal places.)0.2 +Step 3: Shade the area represented bythe p-value.0.1+Step 4: Enter the p-value.(Round to 3 decimal places.) 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 90. In a random sample of 72 players, the mean rating is 91.6.Assume the population standard deviation of the ratings is known to be 12.7.Is there enough evidence to support the claim that the mean player rating is higher than 90? Perform a hypothesis test, using the0.05 level of significance.(a) State the null hypothesis H and the alternative hypothesis H,.OロH: 0ロ=ロロロ(b) Perform a Z-test and find the p-value.Here is some information to help you with your Z-test.Ix

Given : sample size, n =72 sample mean, x̄ =91.6 population standard deviation,σ=12.7…

Answered: • The value of the test statistic is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Please assist with A,b,c Part 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. Is the p value greater than or less than the level of confidence. Is there enough evidence to support the claim that the mean player rating is high than 90?

• The value of the test statistic is given by
Vn
• The p-value is the area under the curve to the right of the value of the test statistic.
Standard Normal Distribution
0.4
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.)

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 90. In a random sample of 72 players, the mean rating is 91.6.
Assume the population standard deviation of the ratings is known to be 12.7.
Is there enough evidence to support the claim that the mean player rating is higher than 90? 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
ロ>ロ
H: 0
ロ=ロ
ロロ
(b) Perform a Z-test and find the p-value.
Here is some information to help you with your Z-test.
Ix

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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