Question

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27. Short Answer Question: Show all work on your test question sheet. Solutions written without accompanying work will probably not qualify for credit.

The lengths (in minutes) of a random selection of popular children’s animated films are listed below. Estimate the true mean length of all children’s animated films with 95% confidence.

A. Calculate the (1 pt)

B. Calculate s: (5 pts)

93    83    76    78    100   78    76

C. Determine tα/2 values with 95% confidence: (2 points):

D. Estimate the true mean price for this particular model with 95% confidence. 10 points

E. Consider the aforementioned dataset. What would be the average distance each value is from the mean? 4 points

Answer 1

we have given values

93,83,76,78,100,78,76

1)

estimate of mean is given by sample mean

2)

sample standard deviation is given by

3)

Here alpha=0.05

and n=7 so df=n-1=7-1=6

now

is given by

P(t>t_0.025)=0.025

now from t table for df=6

P(t>2.45)=0.025

Hence

D)

now 95% confidence interval is given by

so interval is (74.68,92.18)

E)

average distance from mean is given by