After a lot of work, a studio launches a new video game. The studio believes that gamers will like the game and in particular, states that the average rating,μ,that the players will grant you will be greater than 78. The mean score of a random sample of36players is82.3.Suppose the population standard deviation of thescores is known to be10.8.Is there enough evidence to support the claim that the average player rating is higher than 78? Perform a hypothesis test using the significance level of0.05.(a) Formulate the null hypothesish and the alternative hypothesish ₁.ho: D0h1:(b) take a testz and find the p-value .This information will help you perform the testz.• The value of the test statistic is given by●x-μOμ0<0 OSOロミロXX0=0ŚnoHep-valueis the area under the curve to the right of the value of the test statistic. Hep-valueis the area under the curve to the right of the value of the test statistic.standard normal distributionStep 1: Select one queue or twoqueues.A tailtwo tailsStep 2: Enter the test statistic.(Round to 3 decimal places.Step 3: Shade the area represented bythe p value.Step 4: Enter the p- value.(Round to 3 decimal places.-3+20.40.30.2 +0.1 +23

The question is about hypothesis testing.Given :Randomly selected no. of players ( n ) = 36Sample…

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

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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It seems these days that college graduates who are employed full-time work more than 40-hour weeks. Data are available that can help us decide if this is true. A survey was recently sent to a group of adults selected at random. There were 15 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 15 respondents was 43 hours, with a standard deviation of 8 hours. Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with mean μ. Can we conclude that μ is greater than 40 hours? Use the 0.05 level of significance. State the null hypothesis H0 and the alternative hypothesis H1 Find the t-test df & Solve the t-test value Find the critical value Can we conclude, at the 0.05 level of significance, that the mean number of hours worked per week by college graduates is greater than 40 hours? Yes or No?
In the new show The Last of Us there is a fungal infection that spreads rapidly in humans. An epidemiologist who also loves watching TV wonders if this fungal infection would spread at a faster rate in cities than in rural areas. In order to test this hypothesis the epidemiologist studies this same fungal infection in ants. Normally the infection rate is as high as 100 (estimated number of ants that will be infected by one infected ant) in ant colonies. The corresponding population standard deviation is 10. The epidemiologist takes a sample of 1 000 ants (this is very small compared to an average ant colony so it is meant to reflect rural living) and then introduces the fungal infection. As the fungus spreads, the infection rate is recorded as 78. (include 4 decimals) What is U3? Answer
On the final exam, Jenny’s class had an average of 62.4% with a standard deviation of10.4. If the class has 28 students, how many of them failed the exam? (below 50% is fail)
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Suppose that you randomly survey death records for people born in 1900 in Louisiana and compared the life span of two different ethnicities. Of the 109 individuals sampled from ethnicity 1, the mean life span was 45.5 years with a standard deviation of 18.2 years. Of the 105 individuals sampled from ethnicity 2, the mean life span was 44.9 years with a standard deviation of 11.4 years. Conduct a hypothesis test with a 10% level of significance to see if the mean life spans in Louisiana were the same for the two ethnicities. Step 1: State the null and alternative hypotheses. Ho: µ1 – µ2 =v Ha:H1 – µ2 # v (So we will be performing a two-tailed ♥ test.)
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Suppose Professor Alpha and Professor Omega each teach Introductory Biology. You need to decide which professor to take the class from and have just completed your Introductory Statistics course. Records obtained from past students indicate that students in Professor Alpha's class have a mean score of 80% with a standard deviation of 5%, while past students in Professor Omega's Class have a mean score of 80% with a standard deviation of 10%. Decide which instructor to take for Introductory Biology using a statistical argument.
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A prominent medical group claims that the population mean of the surgery durations for all brain tumor patients is 3.69 hours. You are a data analyst for a health insurance company and want to test that claim. To do so, you select a random sample of 32 brain tumor surgery patients, and you record the surgery duration for each. Assume it is known that the population standard deviation of the durations of all brain tumor surgeries is 1.68 hours. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of the surgery durations for all brain tumor patients. Then state whether the confidence interval you construct contradicts the medical group's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 32 brain tumor patients. (b) (c) Take Sample Sample size: Point estimate: Population standard deviation: Critical value: Compute 0.00 0.00 Number of patients Enter the values…
Many people consider their smart phone to be essential! Communication, news, Internet, entertainment, photos, and just keeping current are all conveniently possible with a smart phone. However, the battery better be charged or the phone is useless. Battery life of course depends on the frequency, duration, and type of use. One study involving heavy use of the phones showed the mean of the battery life to be 11.25 hours with a standard deviation of 3.3 hours. Then the battery needs to be recharged. Assume the battery life between charges is normally distributed. (a) Find the probability that with heavy use, the battery life exceeds 12 hours. (Round your answer to four decimal places.)(b) You are planning your recharging schedule so that the probability your phone will die is no more than 5%. After how many hours should you plan to recharge your phone? (Round your answer to the nearest tenth of an hour.) hours

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