Question: Graded Homework This homework is for a completion grade. Make sure that you attempt all problems and show work for all the parts. Solutions will

Graded Homework

This homework is for a completion grade. Make sure that you attempt all problems and show work for all the parts. Solutions will be posted on Canvas after the homework deadline. So please make sure that you turn in the homework by the deadline. DEADLINE IS 4 PM, NOT MIDNIGHT of Thursday, November 17th.

1) Sampling Distributions Chapter 7

You must show a sketch and all the steps in the calculation, including Z score, table value and what you did after getting the table area.

Speeds of vehicles on a particular stretch of roadway are normally distributed with mean 36.6 mph and standard deviation 1.7 mph.

a) Find the probability that the mean speed of 20 randomly selected vehicles is between 35 and 40 mph.

b) Find the probability that the mean speed of 20 randomly selected vehicles is under 36 mph.

2) Confidence Interval Chapter 8

You must show all steps in the work including the margin of error calculation.

A real estate agent wishes to estimate the true mean rent of apartments in Dallas. 10 apartments are randomly sampled. The sample mean and standard deviation are 980 dollars and 250 dollars.

a) Construct a 95% confidence interval for the mean rent for all apartments in Dallas.

b) Construct a 99% interval for the same problem. How is it different? (wider, narrower?) What made it different?

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