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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
(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.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON