Saini, Kiranpreet Assessment #2_ Ma-212-SP23

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Saint Peter's University *

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212

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Statistics

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Jan 9, 2024

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docx

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Uploaded by ks539960

Elementary Statistics Ma-212-SP2-23 Name: __Kiranpreet Saini__ Assessment #2 -10 points Date: __05/03/23__ _ This is your final problem set for the semester. It is due on Tuesday, May 2, 2023 at 11:59 pm. You must show all work for each part of the problem to receive full credit for the part. 1.) A study of 200 randomly selected occupants in passenger cars and 250 randomly selected occupants in pickup trucks shows that 91% of occupants in passenger cars and 83.2% of occupants in pickup trucks wear seatbelts. At α = 0.10, can you claim that the proportion of occupants who wear seat belts is the same for passenger cars and pick up trucks? (2 points: 1 pt. for work and 1 pt. for answer). 2.) A college admissions director wishes to estimate the mean age of all student currently enrolled. In a random sample of 20 students, the mean age is found to be 22.9 years. From past studies, the standard deviation is known to be 1.5 years, and the population is normally distributed. Construct a 90% confidence interval for the population mean age. (2 points: 1 pt. for work and 1 pt. for answer).

3.) CSI Statistics. Use the shoe print lengths and heights to find the best predicted height of a male who has a shoe print length of 31.3 cm. Would the result be helpful to police crime scene investigators in trying to describe the male? Shoe Print (cm) 29.7 29.7 31.4 31.8 27.6 Height (cm) 175.3 177.8 185.4 175.3 172.7 (a) Construct a scatterplot on Sheets and insert it in this document. (1 pt.) (b) Find and state the regression line and state the equation setting it = to y hat. (.5 pt.) (c) If the shoe print is 32.5 cm, predict the height of the male. (.5 pt.)

4.) A retail trade association claims that the tax preparation methods of adults are distributed as shown in the first table. A tax preparation company randomly selected300 adults and ask them how they prepare their taxes. The results are in the second table. At test the associate’s claim. Table #1 Distribution of tax preparation methods Accountant 24% By hand 20% Computer software 35% Friend /family 6% Tax preparation service 15% Table #2

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Survey results (n = 300) Accountant 63 By hand 40 Computer software 115 Friend / family 29 Tax preparation service 53 5.) According to a research company who did a study on how much screen time children spend a week. According to the company children ages 2-11 years old spend an average of 21 hours 30 minutes per week while teens ages 12 - 17 years old spend an average of 20 hours 40 minutes. Based on the sample statistics obtained below, is there sufficient evidence to conclude a difference in average screen time between the two ages groups? Use . ( 2 points) Ages 2- 11 Ages 12 - 17 Sample Mean 22.45 18.50 Sample Variance 16.4 18.2 Sample Size 15 15

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