You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:µ = 89.6 Ha:µ + 89.6 You believe the population is normally distributed and you know the standard deviation is o = 7.3. You obtain a sample mean of M = 90.3 for a sample of sizen = 49, 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) a greater than a 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... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. The sample data support the claim that the population mean is not equal to 89.6. There is not sufficient sample evidence to support the claim that the population mean is not equal to 89.6.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
icon
Concept explainers
Question
You wish to test the following claim (H) at a
significance level of a = 0.05.
H.:µ = 89.6
Ha:u + 89.6
You believe the population is normally distributed
and you know the standard deviation iso = 7.3.
You obtain a sample mean of M = 90.3 for a
sample of sizen = 49,
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) a
greater than a
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 89.6.
There is not sufficient evidence to warrant
rejection of the claim that the population
mean is not equal to 89.6.
The sample data support the claim that the
population mean is not equal to 89.6.
| There is not sufficient sample evidence to
support the claim that the population mean
is not equal to 89.6.
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.05. H.:µ = 89.6 Ha:u + 89.6 You believe the population is normally distributed and you know the standard deviation iso = 7.3. You obtain a sample mean of M = 90.3 for a sample of sizen = 49, 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) a greater than a 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 89.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. The sample data support the claim that the population mean is not equal to 89.6. | There is not sufficient sample evidence to support the claim that the population mean is not equal to 89.6.
Expert Solution
Step 1

Given information:

The hypotheses are:

H0:μ=89.6Ha:μ89.6

Significance level α=0.05

Standard deviation σ=7.3

Sample mean M=90.3

Sample size n=49

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Continuous Probability Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON