Question

The lengths of adult males' hands are normally distributed with a mean of 194 mm and a standard deviation of 7.2 mm. Suppose that 49 individuals are randomly chosen. Round all answers to 4 decimal places where possible. What is the distribution of x̄? x̄ ~ N(μ, σ/√n) For the group of 49, find the probability that the average hand length is more than 196. Find the first quartile for the average adult male hand length for this sample size. For part b), is the assumption that the distribution is normal necessary? Yes/No

Name: the lengths of adult males hands are normally distributed with mean 194 mm and standard deviation is 72 mm suppose that 49 individuals are randomly chosen round all answers to 4 where possib 87096
Uploaded: 2023-05-12T20:36:51-08:00
Duration: 4 min 58 s
Channel: Ariana Nash
Description: the lengths of adult males hands are normally distributed with mean 194 mm and standard deviation is 72 mm suppose that 49 individuals are randomly chosen round all answers to 4 where possib 87096

          The lengths of adult males' hands are normally distributed with a mean of 194 mm and a standard deviation of 7.2 mm. Suppose that 49 individuals are randomly chosen. Round all answers to 4 decimal places where possible.
What is the distribution of x̄? x̄ ~ N(μ, σ/√n)
For the group of 49, find the probability that the average hand length is more than 196. 
Find the first quartile for the average adult male hand length for this sample size. 
For part b), is the assumption that the distribution is normal necessary? Yes/No

Added by Fernando C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ariana Nash

05/12/2023

Step 1

Therefore, ¯xx¯ ~ N(194, 7.2/√49) = N(194, 1.03). Show more…

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The lengths of adult males' hands are normally distributed with a mean of 194 mm and a standard deviation of 7.2 mm. Suppose that 49 individuals are randomly chosen. Round all answers to 4 decimal places where possible. What is the distribution of x̄? x̄ ~ N(μ, σ/√n) For the group of 49, find the probability that the average hand length is more than 196. Find the first quartile for the average adult male hand length for this sample size. For part b), is the assumption that the distribution is normal necessary? Yes/No