A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
Bartleby Related Questions Icon

Related questions

Question

The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least 11.52 inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be 7.42 inches with a standard deviation of 1.3 inches. At the α = 0.05 level, can it be concluded that the mean rainfall was below the reported average? What if α = 0.01? Assume the amount of summer rainfall follows a normal distribution. Please also state if the assumption of normal distribution was essential for solving this question.

You will need to specify the appropriate hypothesis, identify the statistical test, estimate p-value (using R command), and state your conclusion in the context of the problem.

For the conclusion, please use the following template.

If you reject the null write
Since p-value is [write the value of your p-value] and is less than [write the value of alpha in
percent] we reject the null hypothesis at [write the value of alpha]% significance level.
That is, there is sufficient evidence in the data to reject [write down the null hypothesis in the
context of the problem]

If you fail to reject the null write
Since p-value is [write the value of your p-value] and is greater than [write the value of alpha in
percent], we fail to reject the null hypothesis at [write the value of alpha]% significance level.
That is, there is not sufficient evidence in the data to reject [write down null in the context of the
problem]
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
A First Course in Probability (10th Edition)
Probability
ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON
Text book image
A First Course in Probability
Probability
ISBN:9780321794772
Author:Sheldon Ross
Publisher:PEARSON