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 themean player rating, μ, will be higher than 90. In a random sample of 34 players, the mean rating is 95.2. Assume the population standard deviation of theratings 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 Ho and the alternative hypothesis H₁.μX 0²Ho: OH₁:0O (b) Perform a Z-test and find the p-value.Here is some information to help you with your Z-test.X-H• The value of the test statistic is given√nThe 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-tailedTwo-tailed0.3+Step 2: Enter the test statistic.(Round to 3 decimal places.)02+Step 3: Shade the area represented bythe p-value.al+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 isenough evidence to support the claim that the mean player rating is higher than 90.XO Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there isnot enough evidence to support the claim that the mean player rating is higher than 90.O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enoughevidence to support the claim that the mean player rating is higher than 90.O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enoughevidence to support the claim that the mean player rating is higher than 90.41

The studio claims that the mean player rating, μ, will be higher than 90. The population standard…

Answered: After a lot of hard work, a studio…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Similar questions

According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?
A psychologist believes that it will take at least an hour for certain special child to learn a task. A random sample of 30 of these children results in a mean of 50 minutes to learn a task. Should the psychologist modify her belief at 0.01 level if the population standard deviation can be assumed to be 15 minutes?
You may need to use the appropriate technology to answer this question. Data were collected on the top 1,000 financial advisers. Company A had 239 people on the list and another company, Company B, had 121 people on the list. A sample of 16 of the advisers from Company A and 10 of the advisers from Company B showed that the advisers managed many very large accounts with a large variance in the total amount of funds managed. The standard deviation of the amount managed by advisers from Company A was s₁ = $583 million. The standard deviation of the amount managed by advisers from Company B was s₂ = $484 million. Conduct a hypothesis test at a = 0.10 to determine if there is a significant difference in the population variances for the amounts managed by the two companies. What is your conclusion about the variability in the amount of funds managed by advisers from the two firms? State the null and alternative hypotheses. 2 2 H₂:0 2 Find the value of the test statistic. (Round your answer…
The results of a common standardized test used in psychology research is designed so that the population mean is 175 and the standard deviation is 10. A subject earns a score of 183. What is the z-score for this raw score?
A study was conducted to investigate the effect of a new drug on blood pressure. A sample of 25 patients was randomly selected and their blood pressure was measured both before and after taking the drug. The sample mean blood pressure before taking the drug was 120 mmHg and the sample mean blood pressure after taking the drug was 118 mmHg. The sample standard deviation for the blood pressure before taking the drug was 4 mmHg and the sample standard deviation for the blood pressure after taking the drug was 5 mmHg. Test the hypothesis that the average blood pressure after taking the drug is lower than the average blood pressure before taking the drug using a 0.01 level of significance.
The hotel room rate in Miami, Florida is normally distributed with a mean of $286 per night. Assume that the standard deviation is unknown. If 19% of the Miami hotel room rates are more than $300 per night, what is the variance?
An IQ test has a mean of 96 and a standard deviation of 15. Which is more unusual, an IQ of 81 or an IQ of 120?
Two students were informed that they received standard z-scores of 0.9 and -0.5, respectively on a multiple-choice examination in Science. If their grades were 95 and 60, respectively, find the mean and standard deviation of the examination grades.
Two estimates are available for the same population parameter. Estimate one has a standard deviation of 8.5 and estimate two has a standard deviation of 8.7. Estimate two is unbiased, whereas estimate one is biased. Which estimate would you choose and why?
A public health survey was carried out to estimate the total number of alcohol bottles consumed by the population of adults in a week at Kiwanja neighbourhood. The mean was found to be 16 bottles with a standard deviation of 4 bottles. The health authorities’ guidelines advise that it is healthy for people to consume fewer than 12 bottles a week. What proportion of the population did so? It is desirable to consume between 12 and 18 bottles of alcohol a week. What proportion of people was within this range? It is known that it is dangerous to consume more than 25 bottles a week. How many adults out of a sample of 200 over consumed alcohol?
Airline companies are interested in the consistency of the number of babies on each flight, so that they have adequate safety equipment. They are also interested in the variation of the number of Babies. Suppose that an airline executive believes the standard deviation in the number of babies is 6 at the most. The airline conducts a survey. The results of the 23 flights surveyed give a samle mean of 8 with a sample standard deviation of 9. Test the executive's belief to see if it is accurate, or if it is actually greater at the a = 0.05 level. Ho:o = H:o Select an answer df = P-value = The p-value is... greater than a less than (or equal to) a This test statistic leads to a decision to... reject the null fail to reject the null accept the alternative accept the null As such, the final conclusion is that there Select an answer v sufficient evidence to conclude the standard deviation of the number of babies on airplanes is Select an answer than (?
A newspaper article reports that the mean cost for preventative dental care per year is $175 with a standard deviation of $35 (assume that this is the population standard deviation). You want to test whether the mean cost for preventative dental care in your company is different from what was reported in the article. You take a random sample of 250 employees and find the mean cost is $171. Does this signficantly differ from what was reported in the article? Run the appropriate test at α=0.05. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.

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