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The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n 75, find the probability of a sample mean being greater than 216 if u = 215 and o = 6.2. For a sample of n = 75, the probability of a sample mean being greater than 216 if u =215 and a = 6.2 is (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean V be considered unusual because it V within the range of a usual event, namely within of the mean of the sample means.

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n 75, find the probability of a sample mean being greater than 216 if u = 215 and o = 6.2. For a sample of n = 75, the probability of a sample mean being greater than 216 if u =215 and a = 6.2 is (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean V be considered unusual because it V within the range of a usual event, namely within of the mean of the sample means.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 75, find the probability of a sample mean being greater than 216 if u = 215 and o =6.2. For a sample of n 75, the probability of a sample mean being greater than 216 if p = 215 and o = 6.2 is . (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean V be considered unusual because it within the range of a usual event, namely within V of the mean of the sample means. Enter your answer in the answer box. P Type here to search PrtSo Hanie
Transcribed Image Text:The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 75, find the probability of a sample mean being greater than 216 if u = 215 and o =6.2. For a sample of n 75, the probability of a sample mean being greater than 216 if p = 215 and o = 6.2 is . (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean V be considered unusual because it within the range of a usual event, namely within V of the mean of the sample means. Enter your answer in the answer box. P Type here to search PrtSo Hanie
Expert Solution
Step 1

Given:

μ=215, σ=6.2, n=75

The corresponding z-value needed to be computed is:

Statistics homework question answer, step 1, image 1

Now, the probability that sample mean being greater than 216 is,

Statistics homework question answer, step 1, image 2

By using the standard normal table,

Statistics homework question answer, step 1, image 3Statistics homework question answer, step 1, image 4

Hence, the required probability is,

0.0812
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