Calculate the chance of committing a type ii error

Assignment Help Basic Statistics
Reference no: EM131654323

Question: The Sledge Tire and Rubber Company plans to warranty its new mountain bike tire for 12 months. However, before it does this, the company wants to be sure that the mean lifetime of the tires is at least 18 months under normal operations. It will put the warranty in place unless the sample data strongly suggest that the mean lifetime of the tires is less than 18 months. The company plans to test this statistically using a random sample of tires. The test will be conducted using an alpha level of 0.03.

a. If the population mean is actually 16.5 months, determine the probability the hypothesis test will lead to incorrectly failing to reject the null hypothesis. Assume that the population standard deviation is known to be 2.4 months and the sample size is 60.

b. If the population mean is actually 17.3, calculate the chance of committing a Type II error. This is a specific example of a generalization relating the probability of committing a Type II error and the parameter being tested. State this generalization.

c. Without calculating the probability, state whether the probability of a Type II error would be larger or smaller than that calculated in part b if you were to calculate it for a hypothesized mean of 15 months. Justify your answer.

d. Suppose the company decides to increase the sample size from 60 to 100 tires. What can you expect to happen to the probabilities calculated in part a?

Reference no: EM131654323

Questions Cloud

Company in motivating the sales staff : PART I: What other incentives would assist the company in motivating the sales staff?
Determine the sample size for the test : Determine if the sample size for the test is large enough to warrant approximating the sample proportion's distribution with a normal distribution.
What are some reasons that an alternative payment source : What are some reasons that an alternative payment source, other than a health plan such as auto insurance, would cover health care expenses?
News item online regarding the economics of air cargo : Locate an interesting current or recent news item online regarding the economics of air cargo. Post a summary of the article and include the article's URL.
Calculate the chance of committing a type ii error : If the population mean is actually 17.3, calculate the chance of committing a Type II error. This is a specific example of a generalization relating.
Air transportation safety and system stabilization act : Discuss how the Air Transportation Safety and System Stabilization Act and the Homeland Security Act both financially assisted the airlines and increased.
Students to celebrate constitution day : What activity would you suggest for fifth grade students to celebrate Constitution Day?
Research paper on the methodological practice of gathering : Create an original research paper using the methodological practice of gathering, sifting, analyzing, ordering, synthesizing, and interpreting evidence .
Segmentation base and possible segmentation : Describe which segmentation base(s) and possible segmentation variable(s) you would use to segment the market and why.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Scatterplot between the square-foot area

Obtain a 95% con?dence interval for home price. Do parametric or nonparametric methods seem more appropriate for the data? Obtain a scatterplot between the square-foot area of a home and its price.

  Population standard deviation

Suppose also that a random  sample of 50 passengers reveals a sample average maximum fare of $1,700 and the population standard deviation is  $800.

  Develop in the fdr and lbj administrations

How did political liberalism develop in the FDR and LBJ administrations? What philosphies and approaches did each take and why were they able to emerge?

  Estimate how much constituents living in the city

Elected officials in a California city are preparing the annual budget for their community. They would like to estimate how much their constituents living.

  Required condition for being a probability distribution

Show that it satisfies the required condition for being a probability distribution.

  Provide calculations to show that the maximum profit

Provide calculations to show that the Maximum profit based on the training data is $2.548 Million Provide calculations to show that the profit based on the training data is $0.154 Million, if 100,000 packages are mailed randomly to members.

  How many t-shirts the company should order

Dilbert's Department Store is trying to determine how many Hanson T-shirts to order. Currently the shirts are sold for $21, but at later dates the shirts.

  What is the final task after completing the analysis of

a. what is the final task after completing the analysis of significant results?b. why is the size effect useful at this

  Focused on the incidence of concussions among athletes

Much attention has recently focused on the incidence of concussions among athletes. Separate samples of soccer players, non-soccer athletes, and non-athletes were selected.

  What is the probability that a randomly selected person

What is the probability that a student scored below 88 on this exam - What is the probability that Z is less than 1.54?

  Celebration of columbus day

What is the conflict that exists between the celebration of Columbus Day while some opponents think it should be replaced by Indigenous People's Day?

  Should the company market its new product

A random sample of 300 microcomputer owners shows that 94 are interested in the new Microsoft package. Should the company market its new product? Report the p-value.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd