Question Completion Status:An airport has a food court, where passengers with anairline issued pass, can take whatever items that areavailable to eat or drink. The food court charges the airlines$25 per passenger for each pass that is used in theirfood court. The airlines would like to test the followingfor this mean amount, i.e. they would test theH₁ : μ = $25Ha : μ < $25at a 5% level of significance based on the amountconsumed by 40 randomply selected passengers.They are using o $17=Find the probability of a type II error if in factμ = $18around your answer to four digits after thedecimal sign.

The given data is as follows:Sample size, The hypothesis is Significance level, Population standard…

Answered: An airport has a food court, where…

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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find the Q3 (third quartile) position :for a some data with n=30 is
Past records suggest that the mean annual income, µ,, of teachers in state of New York is less than or equal to the mean annual income, µ,, of teachers in Illinois. In a current study, a random sample of 15 teachers from New York and an independent random sample of 15 teachers from Illinois have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars New York 46406, 43039, 47083, 47056, 46810, 47074, 43524, 59524, 49763, 48083, 46100, 53904, 43171, 44341, 52229 Illinois 53010, 43485, 39037, 47622, 47151, 50372, 41401, 35007, 40591, 49268, 44782, 39668, 52555, 49976, 49207 The population standard deviation for mean annual income of teachers in New York and in Illinois are estimated as 6600 and 6200, respectively. It is also known that both populations are approximately normally distributed. At the 0.01 level of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of New York is…
Samples of body temperatures were taken from both men and women. The information from the samples is summarized below. Use a 0.05 significance level to to test the claim that men and women have different mean body temperatures. Men: n₁ = 15; 1 = 98.38° F; s₁ = 0.45°F Women: n2=91; 2 = 98.17°F; $2 = 0.65° F a. On your Work Upload or Calculations page, write down your hypotheses. Label which hypothesis is the claim. b. The test statistic is c. The critical value is . (Round to 3 decimal places.) (Round to 3 decimal places.) d. The p-value is (Round to 3 decimal places.) e. On your Work Upload or Calculations page, show how you made your decision using either the traditional or p-value method. The correct decision is to 1: Reject the null hypothesis, or 2: Fail to reject the null hypothesis. box.) (Type 1 or 2 in the f. On your Work Upload or Calculations page, write your conclusion/results summary. (Use the standard language about evidence and support of claims.)
According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 30 kilometers. The park recently closed its shuttle system, which used to transport hikers to many of the park's most popular hiking trails. Because of this, an administrator at the park suspects the mean distance, µ, is now less than 30 kilometers. The administrator chooses a random sample of 45 visitors. The mean distance hiked for the sample is 29.5 kilometers. Assume the population standard deviation is 9.9 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 30 kilometers? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. O[ D=0 H: µ < 30 ? (b) Perform a Z-test and find the p-value. Here is some information to help you with your z-test. • The value of the test statistic is given by 1 – x • The p-value is the area under the curve to…
A dietician wishes to see if a person’s cholesterol level will change if the diet is supplemented by a certain mineral. Six randomly selected subjects were pretested, and then they took the mineral supplement of a 6 week period. The results are shown in the table below. Can it be concluded that the cholesterol level has changed at a significance level of 0.10? Use the P-value method with your calculator. Assume the variable is approximately normally distributed. You can use your calculator to answer this question but make sure that you clearly write the statements for the null and alternative hypothesis. Be sure that you thoroughly explain your final conclusion using the P-value method. Subject 1 2 3 4 5 6 Before 210 235 208 190 172 244 After 190 170 210 188 173 228
A social psychologist recently developed a childhood-memories test that is intended to measure how people recall pleasant and unpleasant experiences from childhood. Scores on the test range from 1 (very unpleasant) to 100 (very pleasant). The psychologist standardized the test with a large group of college students (ages 18-25), and the mean score was p=60. The test was then given to a sample of n=25 individuals who were all between the ages of 40 and 45. The average score for this sample was 64.3 with SS (sum of squares)=600. Note: S?=SS÷df (variance is equal to sum of squares divided by the degrees of freedom). What is your standard deviation? Answer:
Each person in random samples of 227 male and 293 female working adults living in a certain town in Canada was asked how long, in minutes, his or her typical daily commute was. Is there enough evidence to show that there is a difference in mean commute times for male and female working residents of this town? (Use males females) Male Female Sample size X S Sample size x S 227 30.2 24.0 293 27.9 24.3 Find the test statistic. (Round your answer to two decimal places.) Find the df. (Round your answer down to the nearest whole number.) df= Use technology to find the P-value. (Round your answer to four decimal places.) P-value= Is there enough evidence to show that there is a difference in mean commute times for male and female working residents of this town? Use a significance level of 0.05. Yes No
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 75 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. N Mean StDev SE Mean Men Women 95% Cl for mu Men - mu Women - 9.81, - 0.79) T-Test mu Men = mu Women (vs H2 Oc. Họ: H1 = H2; Hai H1
In 1908, William Gosset published the article "The probable Error of a Mean" under the pseudonym of "Student". He included the data listed below for two different types of corn seed that were used on ad jacent plots of land. The listed values are the yields of head corn in pounds per acre. Use a 0.10 significance level to test the claim that the mean difference in yield between the two types of seed is 0. Regular 1903 1935 1910 2496 2108 1980 2060 1444 1612 1316 1511 Kiln dried 2009 1915 2011 2463 2180 1925 2122 1482 1542 1443 1535 a. Define the parameter A. mu Subscript d Baseline equals Mean of (Regular yield - Kiln dried yield) B. mu Subscript d Baseline equals Mean of the Regular yield C. mu Subscript d Baseline equals Mean of the Kiln dried yield D. mu equals Mean yield b. State the null and alternative hypotheses…
An environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy levels of lead. A biologist classified lead levels greater than 6.0 parts per million (ppm) as unhealthy and that the distribution of the population of crows was Normally distributed. The lead levels of a random sample of 23 crows in the region were measured and recorded. The mean lead level of the 23 crows in the sample was 4.90 ppm and the standard deviation was 1.12 ppm. B.A previous study of crows showed that the population standard deviation was at 2.6 ppm. What minimum sample size would be required to construct a 90 percent confidence interval to have a margin of error within 0.03?
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 59 men and 73 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. SE Mean 1.5 1.7 SIDev 11.2 Mean 112.7 Men Women 99% CI for mu Men - mu Women -11.89, 0.09) T-Test mu Men mu Women (vs<) T= -2.61 P=0.0051 DF 129 59 73 118.6 14.8 Two sample T for Men vs Women State the researcher's condlusion. Which of the following is correct? O A Reject Ha, there is sufficient evidence to condlude that the mean step pulse of men was less than the mean step pulse of women the mean step pulse of women O B. Reject Ha, there is not sufficient evidence to condlude that the mean step pulse of men was less OC. Fail to reject Ho, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean steg pulse of women O D.…

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