Math 201 Practice Midterm 3

# Math 201 Practice Midterm 3 - Math 201 Practice Midterm 3...

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Math 201 Practice Midterm 3 Please work out each of the given problems. Credit will be based on the steps that you show towards the final answer. Show your work. Printable Key Problem 1 A study was done to determine whether LTCC transfer students had a lower retention rate from the retention rate of the average US student retention rate of 71% . Of the 121 LTCC transfer students tracked, 84 eventually received their bachelor's degree. What can you conclude with a level of significance of 5% ? Give the P-value and interpret what it means. Solution Problem 2 Thirteen males and fourteen females participated in a study of grip and leg strength. Right leg strength (in Newtons) was recorded for each participant resulting in the table below. Is there a difference between strength in men and women? Use a 5% level of significance. Give the P- value and interpret what it means. Gender n x s Male 13 2127 513 Female 14 1643 446 Solution Problem 3 Is one ski resort better than another? Data was collected to determine whether the ski resort that was visited had a bearing on how much enjoyment the skier had. The following table shows the data that was collected. What can you conclude at the 5% level? Bored Had an OK time Had a Great Time The Best Experience Ever Heavenly 7 25 42 4 Sierra-at-Tahoe 5 20 30 1 Kirkwood 9 12 30 15 Solution Problem 4 You are the owner of an automobile dealership and have done research on the relationship between the cost of the clothes ( x ) that a potential buyer wears and the price of the car ( y ) that the person will buy. The average customer comes in wearing a \$120 outfit. 45 different respondents participated in the study. You have found that the equation of the regression line is y = 8000 + 50x

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and that S e = 1000 and SS x = 12,000 A. A man walks into your dealership sporting a \$200 outfit. What is your prediction for the price of the car that this man will buy? Solution B. Find a 95% confidence interval for the price of the car that the man will buy. Solution Problem 5 You are the owner of the Tahoe Inn Motel and are interested in how the price per room is related to the number of units that are occupied. Below is the Webcrunch readout produced from motels throughout the Tahoe area. A. What is the equation of the regression line? Interpret the slope of the regression line for this study. Interpret the y-intercept. Solution B. Use your regression line to provide a point estimate for the number of units occupied when the price per room is \$100 . Solution C. What is the correlation coefficient? Interpret this coefficient. Solution D. Construct a possible scatterplot for this data and explain using a complete sentence or two your reasoning in constructing the scatterplot the way you did it. Simple linear regression results:
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Math 201 Practice Midterm 3 - Math 201 Practice Midterm 3...

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