5. A random sample of 43 foreign language movies made since the year 2000 had a mean length of 112.5 minutes, with a standard deviation of 12.6 minutes. a. Construct a 95% confidence interval for the true mean length of all foreign language movies made since 2000. Round the answers to at least one decimal place. b. What calculator function did you use to create this interval? (T-interval, Z-interval, etc.)

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Please do question 5 part a and b
5. A random sample of 43 foreign language movies made since the year 2000 had a mean length of 112.5
minutes, with a standard deviation of 12.6 minutes.
a. Construct a 95% confidence interval for the true mean length of all foreign language movies made
since 2000. Round the answers to at least one decimal place.
b. What calculator function did you use to create this interval? (T-interval, Z-interval, etc.)
c. Interpret the meaning of the confidence interval in terms of the problem. (Include units!)
d. As of November 2010, three Spider-Man movies have been released, and their mean length is 129
minutes. Someone claims that the mean length of Spider-Man movies is actually less than the mean
length of all foreign language movies. Does the confidence interval contradict this claim?
Transcribed Image Text:5. A random sample of 43 foreign language movies made since the year 2000 had a mean length of 112.5 minutes, with a standard deviation of 12.6 minutes. a. Construct a 95% confidence interval for the true mean length of all foreign language movies made since 2000. Round the answers to at least one decimal place. b. What calculator function did you use to create this interval? (T-interval, Z-interval, etc.) c. Interpret the meaning of the confidence interval in terms of the problem. (Include units!) d. As of November 2010, three Spider-Man movies have been released, and their mean length is 129 minutes. Someone claims that the mean length of Spider-Man movies is actually less than the mean length of all foreign language movies. Does the confidence interval contradict this claim?
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