Read and analyze the following situation and supply the values of the following variable in the second column. Determine whether the following statements have a known or unknown population variance and provide a brief explanation to the mean by writing σx--,when the population variance is known ans sx-- when the population variance is unknow

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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Read and analyze the following situation and supply the values of the following variable in the second column. Determine whether the following statements have a known or unknown population variance and provide a brief explanation to the mean by writing σx--,when the population variance is known ans sx-- when the population variance is unknown

Situation given  Answer 

Standard error formula

An High School teacher claims that the average time it takes a group of ftudents to complete the Mathematics examination is 50.5 minutes with the variance of 17.64 minutes2. She randomly selected 45 students and found to have mean of 52 minutes and standard deviation of 3.5 minutes.She then used the z-distribution to find out if the group can complete the exam faster than the population.

n=

σ 2=

μ=

x-- =

s=

 

   
A manufacturer of lightbulbs produce bulbs that last a mean of 800 hours with a standard deviation of 100 hours. To assess the claim of the manufacturer, a random sample of 12 of these bulbs was tested and found to have a mean of 790 hours. he then used the test variate t=(the formula is on the picture below.)

σ=

n=

μ=

σ

x-- =

s=

   

 

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