The next seven questions refer to the following scenario:A random sample of 16 Porsche drivers yielded an average age of 50 years with a variance of 9 years and a randomsample of also 16 Ferrari drivers yielded an average of 47 years with a variance of 25 years.Porsche DriverFerrari Drivern1616mean5047Variance25Conduct the following hypothesis test at a=0.05.HO: Mean Age Porsche Drivers< Mean Age Ferrari DriversHA: Mean Age Porsche Drivers > Mean Age Ferrari DriversAssume unequal variance. What do you conclude, using the correct statistical language?You fail to reject the nullYou reject the nullYou accept the nullOYou accept the alternative

Researchers perform hypothesis test to draw inference about a population characteristic.

Answered: The next seven questions refer to the…

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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A teacher is interested in assessing whether or not there is the same amount of variance in the scores of a particular type of test between male and female students. She believes that the variance for girls is higher than it is for boys. After grading the test she measures the following: In her class, 15 boys had a variance of 460 and 13 girls had a variance of 1,400. Set up hypotheses to test if the teacher’s assumption that the girls’ variance of scores on the test is higher than the boys’ variance. Perform the appropriate test and fully state your results.
An analysis of variance is used for the following data. What will happen if the value of M1 is changed from 15 to 20? Sample Data M1 = 15 M2 = 25 SS1 = 90 SS2 = 70 A)both SSbetween and the size of the F-ratio will increase. B)SSbetween will increase and the size of the F-ratio will decrease. C)SSbetween will decrease and the size of the F-ratio will increase. D)both SSbetween and the size of the F-ratio will decrease.
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.4 and 5.6, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use a = 0.10. You may need to use the appropriate technology to answer this question. State the null and alternative hypotheses. 2. Ho: a H: 01 Ho 2 2 +02. = 2 02, Ha: 01 >『っ 2 Ho: 01 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.)) p-value = State your conclusion. Do not reject Ho. We can conclude that there is a difference between the population variances. Do not reject Hg. We cannot conclude that there is a difference…
An employer measured the number of units sold by his 400 sales employees. He noted that 40 woman employees had a mean sales of 122 and a variance of 60 while 35 men employees had a mean performance of 126 and a variance of 74. Assuming that the employees were randomly selected and the distribution is normal, is there a reason to believe that there is significant difference between the sales mean performances of the men and women sales employees? Use 0.01 level to test its significance. (Use the two sample mean z-test.)
Do men take a different amount of time than women to get out of bed in the morning? The 45 men observed averaged 6.1 minutes to get out of bed after the alarm rang. Their standard deviation was 5.6. The 42 women observed averaged 6 minutes, and their standard deviation was 4 minutes. What can be concluded at the a = 0.01 level of significance? Assuming Equal Variances a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer v (please enter a decimal) H1: Select an answer v Select an answer Select an answer v (Please enter a decimal) c. The test statistic ? d. The test statistics (please show your answer to 3 decimal places.) N
The data in the following Table 3 represent the number of hours of relief provided by five different brands of headache tablets administered to 15 subjects experiencing fevers of 38°C or more. Perform the analysis of variance and test the hypothesis at the 0.05 level of significance that the mean number of hours of relief provided by the tablets is the same for all five brands. Discuss the results. Table 3: Hours of relief by different brands of headache tablets Tablet Relief duration (in hour) Brand A B C D E 5.2 9.1 3.2 2.4 7.1 4.7 7.1 5.8 3.4 6.6 8.1 8.2 2.2 4.1 9.3
An educator has developed a program to improve math scores on the Texas STAAR test. The average STAAR mathematics test for the third graders in the district was mean of 1472. A sample of n=30 third graders took the new math training program before taking the STAAR Math test. The average score for the students was M= 1497 with a standard deviation of 145. (note the standard deviaiton is not a variance). Was there a significant change in test scores (Use standard deviaiton = 0.05, two tailed test). Determine the t crit value.
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 in the number of babies. Suppose that an airline executive believes the average number of babies on flights is six with a variance of nine at most. The airline conducts a survey. The results of the 18 flights surveyed give a sample average of 6.4 with a sample standard deviation of 3.9. To test the null hypothesis against the alternative hypothesis one relies on the chi-squared test. What is the Test Statistic? a. 18.37 b. 47.38 c. 9.26 d. 28.73
QUESTION 4 We want to test whether males are taller than females. Heights of males and females are collected and the excel outputs are given below. Assume height is normally distributed for males and females with unequal variances. t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Unequal Variances Male Female Male Female Mean Variance Observations 170.86 169,1333 11.2249 15.93636 Mean 170.86 169.1333 Variance Observations Hypothesized Mean Difference 50 45 11.2249 15.93636 Pooled Variance 13.45398 50 45 Hypothesized Mean Difference df 93 86 t Stat 2.290934 t Stat 2.269888 P(T<=t) one-tail t Critical one-tail P(T<=t) one-tail. t Critical one-tail 0.012857 1.662765 0.012113 1.661404 P(T<=t) two-tail t Critical two-tail 0.025715 P(T<=t) two-tail t Critical two-tail 0.024226 1.985802 1.987934 You are given two excel outputs. Select the appropriate output to answer questions. Write down the p-value for this test given in the table (give you answer to 4 decimal…
can you fill in the blanks
In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board wants to make sure that the variance of the mean standardized-test scores for all students at each school in the district is less than 2. To test this claim, they looked at the mean student scores for the standardized test from a random sample of 27 schools in the district. The results from the survey found that the overall mean was a score of 209.740 with a standard deviation of 1.210. With α=0.05, perform a hypothesis test to determine if the variance is less than 2. Assume that the district standardized-test scores are normally distributed. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
Which is not one of the major assumptions typically associated with parametric tests of significance? A. Random Selection B. Homogeneity of Variance C. Absence of restricted ranges

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