You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ=77.5Ho:μ=77.5 Ha:μ≠77.5Ha:μ≠77.5You believe the population is normally distributed and you know the standard deviation is σ=18.6σ=18.6. You obtain a sample mean of M=70.5M=70.5 for a sample of size n=16n=16.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = ±±What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = The test statistic is...in the critical regionnot in the critical regionThis test statistic leads to a decision to...reject the nullaccept the nullfail to reject the nullAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 77.5.There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 77.5.The sample data support the claim that the population mean is not equal to 77.5.There is not sufficient sample evidence to support the claim that the population mean is not equal to 77.5.

Given information M= 70.5 n = 16 Standard deviation σ = 18.6 Hypothesis Null Hypothesis: H0:µ = 77.5…

Answered: You wish to test the following claim…

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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You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.

Ho:μ=77.5Ho:μ=77.5
Ha:μ≠77.5Ha:μ≠77.5

You believe the population is normally distributed and you know the standard deviation is σ=18.6σ=18.6. You obtain a sample mean of M=70.5M=70.5 for a sample of size n=16n=16.

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = ±±

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

The test statistic is...

in the critical region
not in the critical region

This test statistic leads to a decision to...

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 77.5.
There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 77.5.
The sample data support the claim that the population mean is not equal to 77.5.
There is not sufficient sample evidence to support the claim that the population mean is not equal to 77.5.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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