The mean number of eggs per person eaten in the United States is 244. Do college students eat a differentnumber of eggs than the average American? The 60 college students surveyed averaged 255 eggs per personand their standard deviation was 64.4. What can be concluded at the a = 0.10 level of significance?a. For this study, we should use Select an answerb. The null and alternative hypotheses would be:Ho: ? v Select an answer vН:Select an answer Vc. The test statistic ? v =(please show your answer to 3 decimal places.)d. The p-value(Please show your answer to 4 decimal places.)e. The p-value is ? vaf. Based on this, we should Select an answerg. Thus, the final conclusion is that ...the null hypothesis.O The data suggest that the populaton mean is significantly different from 244 at a = 0.10, sothere is statistically significant evidence to conclude that the population mean number of eggsconsumed by college students per year is different from 244.O The data suggest that the population mean is not significantly different from 244 at a = 0.10,so there is statistically insignificant evidence to conclude that the population mean number ofeggs consumed by college students per year is different from 244.O The data suggest that the sample mean is not significantly different from 244 at a = 0.10, sothere is statistically insignificant evidence to conclude that the sample mean number of eggsconsumed by college students per year is different from 255.h. Interpret the p-value in the context of the study.O There is a 19.09173784% chance that the population mean number of eggs consumed bycollege students per year is not equal to 244.O There is a 19.09173784% chance of a Type I error.O If the population mean number of eggs consumed by college students per year is 244 and ifanother 60 college students are surveyed then there would be a 19.09173784% chance that thesample mean for these 60 students surveyed would either be less than 233 or greater than 255.O If the population mean number of eggs consumed by college students per year is 244 and ifanother 60 college students are surveyed then there would be a 19.09173784% chance that thepopulation mean would either be less than 233 or greater than 255.i. Interpret the level of significance in the context of the study.O There is a 10% chance that the population mean number of eggs consumed by college studentsper year is different from 244.O If the population population mean number of eggs consumed by college students per year isdifferent from 244 and if another 60 college students are surveyed then there would be a 10%chance that we would end up falsely concluding that the population mean number of eggsconsumed by college students per year is equal to 244.O There is a 10% chance that you will find the chicken that lays the golden eggs.O If the population mean number of eggs consumed by college students per year is 244 and ifanother 60 college students are surveyed then there would be a 10% chance that we would endup falsely concluding that the population mean number of eggs consumed by college studentsper vear is different from 244.

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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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Two samples were given the same task. One sample was put into a room painted red, and the pther was put into a blue room. Thier creativity was scored and recorded while completeing the task. Results are given below. Use a 0.05 significance level to test the claim that the samples from populations with the same standard deviation. Assume that all the measurements are met for this test. Red Room n=34 Xbar =15.92 s= 5.97 Blue Room n=36 Xbar= 12.95 s= 5.49 Is this a right, left or two-tailed test? What is the P-Value? Rounded to 3 decimals Write a conclusion about this test.
Suppose that the average gregariousness score for the entire U.S. population is 70. The head research psychologist at Somerville University is interested in determining whether or not the university psychology students are statistically significantly more gregarious than the overall population. A random sample of 200 students from Somerville University shows a mean of 75 on the gregarious test with a sample standard deviation of 20. a. State the research hypothesis. b. State the null hypothesis. c. Identify the test statistic and provide the formula.
According to the College Board, scores on the math section of the SAT Reasoning college entrance test for the class of 2010 had a mean of 516 and a standard deviation of 116. Assume that they are roughly normal.One of the quartiles of the scores from the math section of the SAT Reasoning test is 438. The other quartile is _______.
A population mean is 13. The sample mean is 12.8, and the sample standard deviation is 2. The sample size is 20. What standard error would you use to conduct a hypothesis test on the mean?
A sales manager believes that the mean number of days per year her company's sales representatives spend traveling is less than 50. A test is made of ?0 ? = 7 ?????? ?1 ? < 50. The null hypothesis is not rejected. State an appropriate conclusion.
Justine is an analyst for a sleep study center. She believes that the average adult in a certain city spends more than 7.2 hours sleeping daily. To test this claim, she selects a random sample of 63 adults from the city. The following is the data from this study: The alternative hypothesis Ha:μ>7.2. The sample mean number of hours slept per night by the 63 adults is 7.52 hours. The sample standard deviation is 1.14 hours. The test statistic is calculated as 2.23. Using the information above and the portion of the t− table below, choose the correct p− value and interpretation for this hypothesis test. Values for right-tail areas under the t-distribution curve Probability 0.10 0.05 0.025 0.01 0.005 Degrees of Freedom 60 1.296 1.671 2.000 2.390 2.660 61 1.296 1.670 2.000 2.389 2.659 62 1.295 1.670 1.999 2.388 2.657 63 1.295 1.669 1.998 2.387 2.656 64 1.295 1.669 1.998 2.386 2.655 65 1.295 1.669 1.997 2.385 2.654 66 1.295 1.668 1.997 2.384 2.652…
Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials. At the 4% significance level, does the data provide sufficient evidence to conclude that Kenneth's mean stacking time is less than 8.2 seconds? Accept or reject the hypothesis given the sample data below. H0:μ=8.2 seconds; Ha:μ<8.2 seconds α=0.04 (significance level) z0=−1.75 p=0.0401 Select the correct answer below: a. Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. b. Reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. c. Reject the null hypothesis because the value of z is negative. d. Reject the null hypothesis because |−1.75|>0.04. e. Do not reject the null hypothesis because |−1.75|>0.04.
A random sample of 49 cans of soda is obtained and the contents are measured. The sample mean is 12.01 oz and the standard deviation is 0.13 oz. Test the claim that the contents of all such cans have a mean different from 12.00 oz, as indicated by the label. Use a 0.05 significance level. Find the Z score And the P value. Do you reject the hypothesis?
Need help with C, D and H please
The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
A high school counselor asks a college-bound student to complete a Readiness to Leave Home questionnaire. Among high schoolers, the questionnaire has a mean of 38.61 and a standard deviation of 9.05. The student earns a raw score of 21. Type your response to the following questions directly in Moodle: What is the student’s z score? (you do not need to show the calculation) In 1-2 sentences, what does the Z score tell us about the student's readiness to leave home? (show that you know the definition of a Z score & can apply it to this example) How would you recommend that the guidance counselor work with the student? (1 sentence)
I. There are two samples with means 15 and 18. Both of those samples consist of 24 observations. Sample standard deviations are equal to 4 in both cases. If you want to test whether the difference between the mean in the first and the mean in the second population is equal to 0, what is your decision at the .01 level?

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