#3Part 1 of 4The mean number of English courses taken in a two-year time period by male and female collegestudents is believed to be about the same. An experiment is conducted and data are collected from26 males and 20 females. The males took an average of 3.7 English courses with a standarddeviation of 0.3. The females took an average of 3.6 English courses with a standard deviation of 0.6.Conduct a hypothesis test at the 1% level of significance to determine whether the means arestatistically the same.Step 1: State the null and alternative hypotheses.Ho: 12V0Ha: 1₂ VO(So we will be performing a two-tailedEPart 2 of 4Step 2: Assuming the null hypothesis is true, determine the features of the distribution of thedifferences of sample means.The differences of sample means are t-distributedand distribution standard deviation 1Question Help: Post to forumSubmit Part$4R✓✓test.)%5TxSearch or type URL✔with distribution mea 06&7U* 008+TC-

An experiment is conducted and data are collected from 26 males and 20 females. The males took an…

Answered: Part 1 of 4 The mean number of English…

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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80 smokers were questioned about the number of hours they sleep each day. We want to test the hypothesis that the smokers need less sleep than the general public which needs an average of 7.7 hours of sleep. Conduct a hypothesis test with a significance level of .01. If the sample mean is 7.4 hours (smokers slept) and the population standard deviation is 0.55, what can you concluded.
According to a research study, American teenagers watched 14.8 hours of television per week last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per week each teenager watched television was 15.6. This data has a sample standard deviation of2.5. (Assume that the scores are normally distributed.) Researchers conduct a one-mean hypothesis test at the 5% significance level, to test if the mean amount of time American teenagers watch television per week is greater than the mean amount of time last year. (a) Ho : μ-148; Ha : μ 14.8, which is a right-tailed test. (b) Determine the test statistic, rounded to two decimal places. Provide your answer below: Test statistic
According to a recent study published by the American Statistics for Educators Journal, statistics students spend, on average, 80 minutes a week playing video games. A certain instructor of statistics at WCC believes that WCC students spend less than this amount of time playing video games per week. To test his belief, he randomly samples 31 students and finds the sample mean to be 72 minutes with a standard deviation of 35 minutes. At the 0.05 level of significance, is there evidence to suggest that WCC students spend less than 80 minutes a week, on average, playing video games? Use the p-value approach. Select the correct conclusion for this test: We fail to reject the null hypothesis because the p-value is less than the level of significance. We fail to reject the null hypothesis because the p-value is greater than the level of significance. We reject the null hypothesis because the p-value is less than the level of significance. We reject the null hypothesis because the…
A researcher wishes to determine if vitamin E supplements could increase cognitive ability among elderly women. In 1999 the researcher recruits a sample of elderly women age 75-80. At the time of the enrollment into the study, the women were randomized to either take Vitamin E, or a placebo for six months. At the end of the six month period, the women were given a cognition test. Higher scores on this test indicate better cognition. The mean and standard deviation of the test scores of 81 women who took vitamin E supplements was 27 1 and 6.9 respectively. The mean and standard deviation of the test scores of the 91 women who took placebo supplements was 24 and 6.2, respectively. a. What statistical test to compare mean score? b. Are there limitations to this study for drawing conclusions about whether vitamin E can enhance cognitive ability in elderly women? c. What would you conclude from these study result?
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Location is known to affect the number, of a particular item, sold by HEB Pantry. Two different locations, A and B, are selected on an experimental basis. Location A was observed for 18 days and location B was observed for 18 days. The number of the particular items sold per day was recorded for each location. On average, location A sold 39 of these items with a sample standard deviation of 9 and location B sold 55 of these items with a sample standard deviation of 6. Does the data provide sufficient evidence to conclude that the true mean number of sales at location A exceeds the true mean number of sales at location B at the 0.01 level of significance? Select the [Alternative Hypothesis, Value of the Test Statistic]. a) [μ1 − μ2 ≠ 0, t = −6.276] b) [μ1 − μ2 = 0, -6.277] c) [μ1 − μ2 ≠ 0, -0.6277] d) [μ1 − μ2 > 0, t = −6.276] e) [μ1 − μ2 < 0, t = −6.276] f) None of the above
In a neuroscience research lab, the researchers want to know the effects of long-term marijuana use on memory and reaction times. In order to investigate their research hypothesis a sample of 50 long-term marijuana users between the ages of 35-45 were selected with a mean memory and reaction time of 69.4 seconds. The population average for the same age group has a mean of 48 and S.E.M. is 7. Go through the steps of hypothesis testing, select appropriate statistics and state your results, use a=.05.
You are interested in comparing Ezekiel Elliott’s performance last season to this season. In particular you look at the average number of rushing yards per game. He played in 15 games last year and averaged 108.73 yards per game with a sample standard deviation of 30.95 yards. This year, he has played in 7 games so far and averaged 98.57 yards per game with a sample standard deviation of 48.40 yards. (a) Determine at the 5% significance level if his performance this year when it comes to average number of rushing yards per game is significantly different than last year. (b) Find a 95% confidence interval for the difference in the average number of rushing yards per game from last year to this year.
Wall Street Journal reported that bachelor’s degree recipients with majors in business received average starting salaries of $53,900 in 2012 (the Wall Street Journal, March 17, 2014). The results for a sample of 100 business majors receiving a bachelor’s degree in 2013 showed a mean starting salary of $55,144 with a sample standard deviation of $5200. Conduct a hypothesis test to determine whether the mean starting salary for business majors in 2013 is greater than the mean starting salary in 2012. Use a = .01 as the level of significance.

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