A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 5.2 inches and standard deviation of 0.7 inches. If a sample of 42 items are chosen at random, what is the probability the sample's mean length is greater than 5.2 inches? Round answer to four decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A manufacturer produces a commodity where the length of the commodity has approximately
normal distribution with a mean of 5.2 inches and standard deviation of 0.7 inches. If a sample of 42
items are chosen at random, what is the probability the sample's mean length is greater than 5.2
inches? Round answer to four decimal places.
Transcribed Image Text:A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 5.2 inches and standard deviation of 0.7 inches. If a sample of 42 items are chosen at random, what is the probability the sample's mean length is greater than 5.2 inches? Round answer to four decimal places.
A researcher must estimate the mean temperature (in degrees Fahrenheit) with the following
sample temperatures:
70.8
63.8
79.2
62.1
81.3
58.3
83.6
Assuming the population of temperatures are normally distributed, find the 95% confidence
interval. Round the answers to two decimal places. Enter your answer as an interval of the form (LB,UP).
The researcher is 95% confident that the population average temperature is within the temperature
interval
Transcribed Image Text:A researcher must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: 70.8 63.8 79.2 62.1 81.3 58.3 83.6 Assuming the population of temperatures are normally distributed, find the 95% confidence interval. Round the answers to two decimal places. Enter your answer as an interval of the form (LB,UP). The researcher is 95% confident that the population average temperature is within the temperature interval
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