You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=71.7Ho:μ=71.7 Ha:μ<71.7Ha:μ<71.7You believe the population is normally distributed and you know the standard deviation is σ=16.7σ=16.7. You obtain a sample mean of ¯x=68x¯=68 for a sample of size n=72n=72.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is...less than (or equal to) ααgreater than ααThis test statistic leads to a decision to...reject the null hypothesisaccept the null hypothesisfail to reject the null hypothesisAs such, the final conclusion is that...There is enough evidence to show that the population mean is not less than 71.7.There is not enough evidence to show that the population mean is not less than 71.7.There is enough evidence to show that the population mean is less than 71.7.There is not enough evidence to show that the population mean is less than 71.7.

Name: You wish to test the following claim (HaHa) at a significance level of
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=71.7Ho:μ=71.7 Ha:μ<71.7Ha:μ<71.7You believe the population is normally distributed and you know the standard deviation is σ=16.7σ=16.7. You obtain a s

Answered: Image /qna-images/answer/979ba27f-4175-4aad-b302-993e7251ff3e.jpg

Answered: ou wish to test the following claim…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.

Ho:μ=71.7Ho:μ=71.7
Ha:μ<71.7Ha:μ<71.7

You believe the population is normally distributed and you know the standard deviation is σ=16.7σ=16.7. You obtain a sample mean of ¯x=68x¯=68 for a sample of size n=72n=72.

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

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

less than (or equal to) αα
greater than αα

This test statistic leads to a decision to...

reject the null hypothesis
accept the null hypothesis
fail to reject the null hypothesis

As such, the final conclusion is that...

There is enough evidence to show that the population mean is not less than 71.7.
There is not enough evidence to show that the population mean is not less than 71.7.
There is enough evidence to show that the population mean is less than 71.7.
There is not enough evidence to show that the population mean is less than 71.7.

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.

Expert Solution

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions