The specifications for a certain kind of ribbon call for a mean breaking strengthof 185 pounds. If five pieces randomly selected from different rolls have breakingstrengths with mean =184, sample SD=6185 pounds against the alternative hypothesis u < 185 pounds at the 0.05 levelof significance.test the null hypothesis

Given: n= 5.0 ,x̄= 184.0 ,s= 6.0 µ= 185.0 ,significance level(∝)= 0.05 ,degree of freedom= 4.0

Answered: The specifications for a certain kind…

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...

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With the null hypothesis that a suspect is innocent, an investigation concluded that the suspect should not be convicted at 5% level of significance. The conclusion would be the same if tested at 1% level of significance. Select one: True False
Identify the type I error and the type II error that correspond to the given hypothesis. The percentage of households with Internet access is greater than 60%.
Consider the two sample t-test with equal variances and the paired t-test. These tests are equivalent to which experimental designs. State the designs and draw detailed comparison between them.
A sample of 60 chewable vitamin tablets have a sample mean of 298 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin C per tablet differs from 299 milligrams. State the appropriate null and alternate hypotheses.
Also need to find the standardized test statistic, decide whether to reject or fail to reject, and interpret the decision in the context of the claim.
A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.2 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value. State the final conclusion that addresses the original claim.
Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Use a 0.05 significance level to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th: Friday the 13th: 10 10 13 11 13 69 11
In the past, the time for Jeff's journey to work had mean 45.7 minutes and standard deviation 5.6 minutes. This year he is trying a new route. In order to test whether the new route has reduced his journey time, Jeff finds the mean time for a random sample of 30 journeys using the new route. He camies out a hypothesis test at the 2.5% significance level. Jeff assumes that, for the new route, the joumey time has a nomal distribution with standard deviation 5.6 minutes. (a) State appropriate null and alternative hypotheses for the test. (b) Determine the rejection region for the test.
A data set includes data from 400 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.6 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value. State the final conclusion that addresses the original claim. Hypothesis test results: Mean of variable | Ho H=2.6 HAH>2.6 Variable Sample Mean Length 2.75311 Std. Err. DF 0.274284 399 T-Stat 0.558217 P-value 0.2885 OA. Fail to reject Ho. There is not sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles. OB. Reject Ho. There is not sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles. OC. Reject Ho. There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles OD. Fail to reject Ho. There is sufficient evidence to support…

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