## Answers for Applied Statistics: Difference Between Men and Women’s Yearly Salaries

Assume that you are analyzing whether there is a difference between men and women’s yearly salaries. from a random sample of 55 women you find the mean salary to be 47520 TRY with a standard deviation of 5633 TRY from a sample of 64 men you find the mean salary to be 44304 TRY with standard deviation of 4793 TRY assume the random sample observations are from normally distributed populations and that the population variances are assumed to be equal develop a 95% confidence interval for the difference (women-men) between the population mean salary for men and women which gender does get a high salary.

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## MAT 210 Introduction to Business Statistics Exam

Proctored Final Examination

1. Assume you have a data set From a normally distributed random variable. Answer the following questions about it.

a. Will the random variable be discrete, continuous, or neither? How do you know?

b. Will the data be qualitative or quantitative? How do you Know?

2. Assume the following data were gathered by a manufacturer of a robotics component, in units of days of continuous use until the component fails. There are 60 measurements in this data set. Show a histogram of this data set with 10 bins of equal size, spanning the range from the data minimum to the data maximum.

142, 147, 127, 161, 145, 137, 122, 123, 141, 139, 139 135, 135, 130, 147, 118, 154, 133, 136, 129, 139, 131 143, 130, 160, 127, 127, 145, 144, 155, 128, 124,144 133, 136, 133, 151, 131, 133, 119, 122, 139, 128, 121 142, 136, 148, 136, 121, 131, 125, 120, 123, 145, 140 150, 136, 135, 133, 134

3. A university has been tracking the percentage of alumni giving to its annual fund each year for the past 10 years. The data is given here.

14% 13% 15% 21% 19% 24% 25% 28% 25% 31%