3. A national newspaper writes an article that claims the averageAmerican gets their first tattoo at 24 years old. A local tattoo parlorthinks the mean in the area is less than that. A random sample of 24people with tattoos gives a mean age of 22.5 for their first tattoo with astandard deviation of 4.5. Assume age of first tattoo is normallydistributed.Conduct a hypothesis test with significance level 0.05 to test the tattooparlor's claim. (Make sure to include everything for a hypothesis test.You may use either method to determine whether to reject the nullhypothesis.)

Answered: Image /qna-images/answer/734c4662-a07b-4c26-9a7f-b0aaddd3b292.jpg

Answered: 3. A national newspaper writes an…

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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2. Does helping another person affect the helper's life satisfaction? To find out, a researcher randomly sampled 64 people and asked each of them to help one other person that day. At the end of the day, each participant completed a standardized measure of life satisfaction. The mean score for the sample was 51.60. In the general population, the mean score on this measure is 50 and the standard deviation is 6. Test the hypothesis that helping affects life satisfaction (a = .05, two-tailed). You don't have to outline all 5 steps of hypothesis testing, but specify the properties of the comparison distribution, the critical value of the test statistic for rejecting the null hypothesis, the obtained test statistic, and the final decision. What are the lower and upper confidence limits for the 95% confidence interval of the mean life satisfaction of people who have helped someone else that day? Compute the standardized effect size.
You may need to use the appropriate technology to answer this question. Is there any difference in the variability in golf scores for players on a women's professional golf tour and players on a men's professional golf tour? A sample of 20 tournament scores from events in a tour for women showed a standard deviation of 2.4671 strokes, and a sample of 30 tournament scores from events in a tour for men showed a standard deviation of 2.2182. Conduct a hypothesis test for equal population variances to determine if there is any statistically significant difference in the variability of golf scores for male and female professional golfers. Use a = 0.10. State the null and alternative hypotheses. Ho: Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. We cannot conclude that there is a difference in the variability of golf scores for male and female…
We are interested in seeing if there is a difference between how long women and men spend shopping at Costko-K. Men spend an average of 48 minutes in our store with a standard deviation of 22 minutes. Women spend an an average of 39 minutes in our store with a standard deviation of 9 minutes. The sample size for men is 250 and the sample size for women is 300. Test the hypothesis at a 95% confidence level. Show your calculations and explain your findings.
For a random sample of 47 high school seniors in the United States in 2019, the average of typical sleep time on a school night is 6.8 hours with a standard deviation of 1.2 hours. (Source: Data are downloaded from U.S. Census at School a) We want to test if the mean sleep time on a school night for all high school seniors in the United States is less than 7 hours. State the hypotheses of a one-sided significance test. b) ) Calculate the test statistic. I Show how to make a c) conclusion for this test, using the significance level 0.05. d) ) If your conclusion in part c) were in error, what type of error would it be? e) ) Construct a 95% confidence interval for the population mean sleep time on a school night for all high school seniors in the United States.
Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of less than 20 hours each week. A random sample of 30 students were asked to keep a diary of their activities over a period of several weeks. It was found that he average number of hours that the 30 students studied each week was 18.7 hours. The sample standard deviation of 3.4 hours. Find the p-value. The p-value should be rounded to 4-decimal places.
Ann recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 120 millimeters of mercury ( mmHg ). Ann believes the value is actually higher. She bases her belief on a recently reported study of 10 randomly selected, elderly females. The sample mean systolic blood pressure was 128 mmHg , and the sample standard deviation was 25 mmHg . Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.10 level of significance, can it be concluded that μ , the population mean systolic blood pressure among elderly females, is greater than 120 mmHg ? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the…
In a survey, 27 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $42.6 and standard deviation of $17.5. Estimate how much a typical parent would spend on their child's birthday gift (use a 99% confidence level). Give your answers to 3 decimal places.
Fuel efficiency of Prius: Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is: (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…
You are testing the claim that the mean GPA of night students is greater than the mean GPA of day students.You sample 40 night students, and the sample mean GPA is 2.28 with a standard deviation of 0.44You sample 60 day students, and the sample mean GPA is 2.16 with a standard deviation of 0.43Calculate the test statistic, rounded to 2 decimal places
Salma recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 115 millimeters of mercury (mmHg). Salma believes the value is actually higher. She bases her belief on a recently reported study of 21 randomly selected, elderly females. The sample mean systolic blood pressure was 118 mmH, and the sample standard deviation was 21 mmHg. Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.10 level of significance, can it be concluded that y, the population mean systolic blood pressure among elderly females, is greater than 115 mmHg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
It is commonly believed that the mean body temperature of a healthy adult is 98.6°F. You are not entirely convinced. You believe that it is not 98.6° F. You collected data using 52 healthy people and found that they had a mean body temperature of 98.25° F with a standard deviation of 1.2° F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6°F. a) kdentify the null and alternative hypotheses? Họ:p=v 98.6 H.: p
A random sample of 64 shoppers showed that they spend an average of $27.31 per visit at the Sunday Mornings Bookstore. The standard deviation of the population is $2.14. Find the 90% confidence interval of the true mean. Please include all work showing how you found your answer.

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