Average heart rate for Americans is 72 beats per minute. A group of 35 randomly selectedindividuals participates in an aerobics program designed to lower their heart rate. Following theprogram, the mean heart rate for the group is 69 beats per minute, with a sample standarddeviation of 6.5. At the significance level 1%, can we say that all past and future participants inthis program will have a mean heart rate less than 72 beats per minute? Carry out an appropriateone-mean t-test. As usual, your answer must include:a) a statement of the hypothesesb) The critical value of the test.c) The value of the test statistic, andd) a statement of conclusion.

Given data : sample size, n =35 sample mean, x̄ = 69 sample standard deviation,s=…

Answered: a) a statement of the hypotheses b) The…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The respiratory disturbance index (RDI), which is the number of apneic and hypopneic episodes per hour of sleep, was used as a measure of severity of sleep apnea. An RDI of 5 or more indicates sleep-related breathing disturbances. The RDIs for the females and males samples in a study in US are as follows. At the 1% significance level, do the data provide sufficient evidence to conclude that the female patients are less suffer than male from the apnea disease?
In a study of consumer credits, 25 randomly selected credit holders were surveyed, andthe mean amount of credit in the past year was found to be $3300 and the standarddeviation of $420. Use significance level α=0.05 to test that the mean is less than $3500.
Suppose that a manufacturer of laptop batteries claims that his product last more than 950 hours. They test 45 batteries and found a sample mean of 925 hours and the population standard deviation of 55 hours. Use 5% significance level. Should the claim be accepted?
A store that sells LPG claims that the mean weight of their tanks are exactly 11-kgs as prescribed. Using a random sample of 15 LPG tanks, a regular customer tests the theory that the average weight of the store's tanks are somehow lower than the prescribed weight. Use a significance level of α=0.10
Use the pulse rates in bpm of a random sample of adult females listed in the data set available below to test the claim that the mean is less than 74 bpm. Use a 0.10 significance level.
For an upper-tail test at the 1% significance level, what is the appropriate critical value when a sample of size 28 is drawn from a normal population with unknown standard deviation?
What type of sample would be best for a company like McDonald’s which is trying toanalyze how its restaurants are functioning? Explain.
As a part of her evaluation of Atlanta city employees, the Mayor instructs you to audit the parking tickets issued by city parking officers to determine the number of tickets per officer that were improperly issued. Because there has recently been a change in the parking department's hiring practices, the Mayor suspects that the mean number of improperly issued tickets has changed. In past years, the number of improperly issued tickets per officer had a Normal distribution with a mean (mu) of 380, and std dev (sigma) of 35.2. You conduct a hypothesis test at the 95% level to test the null hypothesis that the mean number of improperly issued tickets is different than 380. Your audit of 25 randomly selected parking officers yields an average of 400 tickets. What do you conclude about the rate of improperly issued tickets?
What is H0 for a one-way ANOVA? If H0 is rejected, does that imply that each mean is significantly different from every other mean? What information do you need to decide on a sample size that will provide adequate statistical power? If there is an overall significant F in a one-way ANOVA, can we conclude that the group membership or treatment variable caused the observed differences in the group means? Why or why not?
A cellular telephone manufacturer that entered the post-regulation market quickly has an initial problem with excessive customer complaints and consequent returns of cell phones for repair or replacement. The manufacturer wants to estimate the magnitude of the problem in order to design a quality control program. How many cellular telephones should be sampled and checked in order to estimate the proportion that is defective to within 1% with 90% confidence?
A simple random sample of 35 horror has a mean duration of 107.3 minutes and the sample sandard deviation of song lengths is 17.8 minutes. Use a 0.05 significance level a) Use the TRADITIONAL METHOD to test the claim that the sample is from a population of movies with a mean greater than 100 minutes. b) What does the conclusion mean?
A researcher reports an F-ratio with dfbetween = 2 and dfwithin = 30 for an independent-measures ANOVA.How many treatment conditions were compared in the experiment?How many subjects participated in the experiment?

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a) a statement of the hypotheses b) The critical value of the test. c) The value of the test statistic, and d) a statement of conclusion.