The times for a particular journey during rush hour in a certain city have a mean of 23.3 minutes and standard deviation 8.9 minutes. Using Excel or otherwise, determine the probability that the mean time taken for a random sample of 60 of the times of this journey is less than 25 minutes.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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(a) The times for a particular journey during rush hour in a certain city have a
mean of 23.3 minutes and standard deviation 8.9 minutes.
Using Excel or otherwise, determine the probability that the mean time taken
for a random sample of 60 of the times of this journey is less than 25 minutes.
(b) A factory produces steel sheets whose weights are known to be normally
distributed with a standard deviation of 1.7kg. A random sample of 47 sheets
had a mean weight of 27.3kg. Construct a 95% confidence interval for the
population mean.
Transcribed Image Text:(a) The times for a particular journey during rush hour in a certain city have a mean of 23.3 minutes and standard deviation 8.9 minutes. Using Excel or otherwise, determine the probability that the mean time taken for a random sample of 60 of the times of this journey is less than 25 minutes. (b) A factory produces steel sheets whose weights are known to be normally distributed with a standard deviation of 1.7kg. A random sample of 47 sheets had a mean weight of 27.3kg. Construct a 95% confidence interval for the population mean.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,