We want to conduct a hypothesis test of the claim that the population mean number of holding penalties during a college football game is less than 2.9 penaltiesper game. So, we choose a random sample of games. The sample has a mean of 3 penalties per game and a standard deviation of 0.8 penalties per game.For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic.Round your answers to two decimal places.(a) The sample has size 15, and it is from a normally distributed population with an unknown standard deviation.Z=2=0O It is unclear which test statistic to use.(b) The sample has size 100, and it is from a non-normally distributed population with a known standard deviation of 0.75.ON=-0O It is unclear which test statistic to use.Ot=X

Sample mean=3 Mean=2.9 Standard deviations=s=0.8 Known standard deviations=0.75

Answered: We want to conduct a hypothesis test of…

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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The results of a hypothesis test are reported as follows in a scientific report: t(38) = -3.13, p < .05. Based on this information, which statement below is not correct? Group of answer choices The sample size was n = 39. The conclusion reached by the researcher was to reject the null hypothesis. The sample mean was greater than the hypothesized population mean. The probability of a Type I error is less than 5%.
Perform a statistical analysis / test of hypothesis on each of the following problems. The market researcher in a certain company conducted a study to assess the effectiveness of a new computerized system of filling orders. He selected a random sample of 100 customers served using the old system and 100 served using the new system. He contacts each customer to find out whether or not the order was filled satisfactorily within 2 weeks. Results were recorded in the accompanying table: System Satisfied Not Satisfied Total OLD 68 32 100 NEW 85 15 100 Total 153 47 200 Test at alpha equal to 5% the null hypothesis that the proportion of satisfied customers among those served by the new system is the same as that among those served by the old system.
You take 115 random samples from a population of trees for which the mean height in feet is μ=72μ=72 (but you do not know this), and use each set of data to do a hypothesis test at a 5% level of significance to determine if the population mean is not 72. So the hypotheses are:Ho:μ=72Ho:μ=72Ha:μ≠72Ha:μ≠72In how many of the 115 hypothesis tests would you expect to reject Ho and conclude that the population mean is not 72? Do not round your answer.
1. (Hypothesis Testing) Dr. Ayati claims that 90% of her students are satisfied with the data science course. Jose was not very satisfied, and he suspected the student evaluation is false. He surveyed a random sample of 80 of Dr. Ayati's students and found that only 80% were satisfied. He also run 1000 simulation, each simulating a sample of 80 students assuming there are 90% satisfied students. % of satisfied students Frequency 80 5 82.5 24 85 72 87.5 181 90 281 92.5 272 95 136 97.5 27 100 2 (a) What is the null hypothesis and alternative hypothesis Jose is testing? (b) According to the simulation, what is the probability of getting a sample with 80% satisfied students or less? (c) What should Jose conclude regarding the hypothesis?
Consider the following two random experiment scenarios and answer the questions that follow: Scenario 1 A basket contains 3 red and 4 green balls. A random experiment is performed such that a ball is randomly drawn from the basket, replaced back in the basket and then again a ball is randomly drawn from the basket. Let X is a random variable containing the count of red colored balls at the end of two trials. Scenario 2 A basket contains 3 red and 4 green balls. A random experiment is performed such that a ball is randomly drawn from the basket, not replaced back in the basket and then again a ball is randomly drawn from the basket. Let X is a random variable containing the count of green colored balls at the end of two trials. requried: 1.Compare the two scenarios by showing probability tree diagrams of the two. 2.Examine and comment on the shape of the distribution for the two scenarios.
Q1 Suppose a drug company designs to develop a new drug to prevent colds. The company states that the drug is equally effective for men and women. To test this claim, they choose a simple random sample of 100 women and 200 men from a population of 100,000 volunteers. At the end of the study, 38 women caught a cold; and 102 men caught a cold. (a) Based on these findings, can we reject the company's claim that the drug is equally effective for men and women? Use a 0.05 level of significance. (b) Find the 95% confidence interval for the difference between the proportions of women and men caught a cold. (c) Are the results of (a) and (b) consistent? Explain briefly.
Please see below. I need help with this asap please and thank you. Note that I'm only given one attempt at this. I have worked this out already, but I'm not 100% certain my answers are right.
Consider the following two random experiment scenarios and answer the questions that follow: Scenario 1 A basket contains 3 red and 4 green balls. A random experiment is performed such that a ball is randomly drawn from the basket, replaced back in the basket and then again a ball is randomly drawn from the basket. Let X is a random variable containing the count of red colored balls at the end of two trials. Scenario 2 A basket contains 3 red and 4 green balls. A random experiment is performed such that a ball is randomly drawn from the basket, not replaced back in the basket and then again a ball is randomly drawn from the basket. Let X is a random variable containing the count of green colored balls at the end of two trials. Now answer the following questions. a) Compare the two scenarios by showing probability tree diagrams of the two. b) Examine and comment on the shape of the distribution for the two scenarios.
A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 68%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H, and the alternative hypothesis H that we would use for this test. H: 0 O
Company records indicate that at most 45% of employees commute to work using public transportation. You suspect this is incorrect, so you sample 65 random employees and find that 35 of them take public transportation to work. State the null and alternative hypotheses of this test. Null Hypothesis (Ho): Alternative Hypothesis (HA): P ps v 0.4 0.4✓ To test our hypothesis, we will assume that p = 0.45 0 Is the success-failure condition of the Central Limit Theorem satisfied? Yes. Both np and n(1 − p) are ≥ 10. O No. Either np a. No. The result is not significant because the p-value is a. that We cannot dispute, with 95% confidence, the claim that at most 45% of employees commute to work using public transportation. O Our evidence suggests, with 95% confidence, that more than 45% of employees commute to work using public transportation.
pbm 1

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