A brand of bike is designed for mountain biking sport. The weight of the bike is one factor to decided the quality. One random sample of 15 bikes' weight is collected, with sample mean of 15.5 kg, and sample standard deviation of 0.8 kg. Assume the bike's weight is normal. The manufacturer stated that the average bike's weight is lighter than 16kg, test the manufacturer's statement using confidence interval method. Let significance level be 0.05.

A brand of bike is designed for mountain biking sport. The weight of the bike is one factor to decided the quality. One random sample of 15 bikes' weight is collected, with sample mean of 15.5 kg, and sample standard deviation of 0.8 kg. Assume the bike's weight is normal. The manufacturer stated that the average bike's weight is lighter than 16kg, test the manufacturer's statement using confidence interval method. Let significance level be 0.05.

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...

See similar textbooks

Similar questions

An SRS of 29 students at HCC gave an average height of 5.5 feet and a standard deviation of .1 feet. Construct a 90% confidence interval for the mean height of students at HCC.
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
A simple random sample of 95 basketball players is taken from different teams and their mean weight is found to be 226 pounds and the standard deviation of the population is 20 pounds. Using 0.05 level of significance , test the claim that the average weight for all basketball players is 231 pounds.
The Ankle Brachial Index (ABI) compares the blood pressure of a patient's arm to the blood pressure of the patient's leg. A healthy ABI is 0.9 or greater. In a study, researchers obtained the ABI of 187 women with arterial disease. The results were a mean ABI of 0.86 with a standard deviation of 0.16. At the 1% significance level, do the data provide sufficient evidence to conclude that, on average, women with arterial disease have an unhealthy ABI? Set up the hypotheses for the one-mean t-test. Hou Ha: H
A sample of 12 suburban hotels showed that the mean revenue is $1117. It is known that the standard deviation is $121.8. Construct the 90% confidence interval for the true average revenue of all suburban hotels.
The General Electric Company clams that the life of LED light bulbs are has a mean life of 500 hours with the standard deviation of 50 hours. Test the claim of the manufacturer if a random sample of 80 LED light tested and found out to be 450 hours only. Use 5% level of significance.
The barricade width of 25 glass 2-liter bottle was measured by an independent quality control engineer from Zimbabwe. The sample mean was 4.05 meters and sample standard deviation was 0.08 meter. Find a 95% lower confidence bound for mean barricade width.
17 walleyes from Lake Erie were sampled and found to have a mean weight of 2.4 pounds with astandard deviation of .73 pounds. Find a 95% confidence interval for the weight of walleyes inLake Erie.
In a random sample of 20 boxes of cereal, the mean sodium content is 173.1 mg with a standard deviation of 43 mg. construct a 90 percent confidence interval estimate for the true value of sodium in cereal while interpreting the interval estimate.
A sample of 6 credit ratings for car loan applicants has a mean of 602 and a variance of 4356. Use the data toconstruct a 90% confidence interval for the population standard deviation of credit scores for all applicantsfor car loans. What is the Best point estimate and Include the written statement
A sample of 30 Microsoft employees yielded a mean of 44 hours worked per week with a standard deviation of 8 hours. What is the 95% confidence interval on the mean hours worked for Microsoft employees?