8. To investigate possible gender discrimination in a firm, a sample of 100 men and 64women with similar job descriptions are selected at random. A summary of the resultingmonthly salary follows:MenWomenAverage Salary Y$3,100$2,900Standard Deviation(Sy)$200$320n10064a) What do these data suggest about wage differences in the firm? Do they representstatistically significant evidence that wages of men and women are different? (Toanswer this question, first state the null hypothesis; second compute the relevant t-statistic; and finally give an estimate of the p-value).b) Do these data suggest that the firm is guilty of gender discrimination in itscompensation policies? Explain.

The given information is,Average Salary Standard deviation Men$3100$200100Women$2900$32064

Answered: To investigate possible gender…

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 mean value of land and buildings per acre from a sample of farms is $1300, with a standard deviation of $100. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1321 $1587 $1109 $959 $1492 $1458 Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. A. $1587 B. $959 C. $1321 D. $1458 E. $1492 F. $1109
I would like to test the hypothesis that the average round trip airfare between Phoenix and San Diego is higher for a flight originating in Phoenix when compared to a flight originating in San Diego. The following data summarizes the sample statistics for round trip flights originating in both cities. Originating City Phoenix San Diego Sample mean $240 $160 Sample size 18 18 Sample standard deviation $70 $40 If Population 1 is defined as flights originating in Phoenix and Population 2 is defined as flights originating in San Diego, the 90% confidence interval for the difference in population means is O ($50.20, $109.80) O ($42.80, $117.20) ($47.80, $112.20) O ($51.80, $108.20)
In a study investigating the effect of car speed on accident severity, 5,000 reports of fatal automobile accidents were examined, and the vehicle speed at impact was recorded for each one. For these 5,000 accidents, the average speed was 44 mph and the standard deviation was 17 mph. A histogram revealed that the vehicle speed at impact distribution was approximately normal. (Use the Empirical Rule.) (a) Approximately what percentage of these vehicle speeds were between 27 and 61 mph? approximately % (b) Approximately what percentage of these vehicle speeds exceeded 61 mph? (Round your answer to the nearest whole number.) approximately %
The mean annual incomes of certified welders are normally distributed with the mean of $50,000. The ship building association wishes to find out whether their welders earn more or less than $50,000 annually. A study conducted using 100 certified welders showed that their annual income is $50,250 with a sample standard deviation of $1050. What is the test statistic for this test? a. 2.381 b. 1.673 c. 1.367 d. 2.869
Find the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be obtained for these values, do the results make sense? Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1 equals smooth-yellow, 2 equals smooth-green, 3 equals wrinkled yellow, and 4 equals wrinkled-green. a. The range of the sample data is (Type an integer or a decimal. Do not round.) b. the standard deviation of the sample data is (Round to one decimal place as needed.) c. The variance of the sample data is (Round to one decimal place as needed.)
Suppose two graduating seniors, one a marketing major and one an accounting major, are comparing job offers. The accounting major has an offer for $53,000 per year, and the marketing major has an offer for $49,000 per year. Summary information about the distribution of the offers is shown below: Accounting: mean: 50000 standard deviation: 1500 Marketing: mean: 45500 standard deviation: 1000 Which offer is more attractive and why?
Answer.
Insurance Company A claims that its customers pay less for car insurance, on average, than customers of its competitor, Company B. You wonder if this is true, so you decide to compare the average monthly costs of similar insurance policies from the two companies. For a random sample of 1313 people who buy insurance from Company A, the mean cost is $151$⁢151 per month with a standard deviation of $16$⁢16. For 99 randomly selected customers of Company B, you find that they pay a mean of $158$⁢158 per month with a standard deviation of $19$⁢19. Assume that both populations are approximately normal and that the population variances are equal to test Company A’s claim at the 0.050.05 level of significance. Let customers of Company A be Population 1 and let customers of Company B be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
A study was conducted for an aviation safety agency in which they surveyed thousands of passengers at airports across Europe. In this study, the "mass" for a passenger includes the weight of the passenger and all of the passenger's carry-on items, including infants without their own seats. For the 5,904 adult male passengers measured in summer, the sample mean and standard deviation for this mass were 88.8 kg and 15.9 kg, respectively. (a) Construct a 95% confidence interval (in kilograms) for the population mean mass for adult male passengers in summer. (Round your answers to three decimal places.) ___to__ kg (b) Write a sentence or two interpreting the confidence interval you found in part (a). With 95% confidence, we can estimate that the population mean mass of male passengers traveling in the summer is contained within the interval. We can estimate that 95% of the male passengers traveling in the summer in the sample have a mass that is contained within the interval.…
Records from the Washington Department of Licensing show that 47 former SFCC business students have incorporated their own businesses in the last five years. Eight of these students are selected at random and contacted. Each is asked how many people are employed by their corporation. The responses are: 7, 12, 13, 17, 10, 5, 10, and 6 employees. What is your best estimate of the standard deviation of the number of employees for all 47 corporations?
Consider the following set of data: Law students Engineering students Sample Size 107 160 Mean $53.20 $72.76 Standard Deviation $2.67 $3.12 What is the correct degrees of freedom to use in the t test to determine whether there is evidence of a difference in the population means between the Law students and Engineering students?

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