3. In 2014, according to the National Center for Health Statistics, the age at which American men first married had a mean of 28.9 years. A researcher believes that the mean age of first marriage for American men has increased since then. She obtains a random sample of 40 married American men who married for the first time last year. The men in the sample married at a mean age of 30.5 years, with a standard deviation of 5.3 years. Using the classical approach, perform a Hypothesis Test using a = 0.05 level of significance, and determine if there is evidence to conclude that the mean age of first marriage for American men has increased since 2014. H, : H : Verify any requirements for this test: Show work and draw a sketch, shading the critical region Show (above) your critical value at the given level of significance t 'crit and show your sample test statistic t, Determine and interpret the p-value: p-value = Clearly state your conclusion:

3. In 2014, according to the National Center for Health Statistics, the age at which American men first married had a mean of 28.9 years. A researcher believes that the mean age of first marriage for American men has increased since then. She obtains a random sample of 40 married American men who married for the first time last year. The men in the sample married at a mean age of 30.5 years, with a standard deviation of 5.3 years. Using the classical approach, perform a Hypothesis Test using a = 0.05 level of significance, and determine if there is evidence to conclude that the mean age of first marriage for American men has increased since 2014. H, : H : Verify any requirements for this test: Show work and draw a sketch, shading the critical region Show (above) your critical value at the given level of significance t 'crit and show your sample test statistic t, Determine and interpret the p-value: p-value = Clearly state your conclusion:

Name: 3. In 2014, according to the National Center for Health Statistics, t
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: 3. In 2014, according to the National Center for Health Statistics, the age at which American men first married hada mean of 28.9 years. A researcher believes that the mean age of first marriage for American men hasincreased since then. She obtains

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Suppose that El Camino is studying the average number of hours students study for classes per week. According to research from 2010 El Camino students spent an average of 21 hours a week studying for classes. El Camino wants to study if this average has changed. To do this they take a random sample of 81 current students and find that the average student spent 19.3 hours studying with a standard deviation of 6.4 hours. (Note: You may assume there are approximately 20,000 El Camino students). (a) Carry out a hypothesis test at α = .05 to test the claim that the average number of hours per week that El Camino students study has changed since 2010. (b) Describe what it would mean in this situation to make a Type I error (c) Describe what it would mean in this situation to make a Type II error (d) Construct a 95% confidence interval for the average number of hours studied by El Camino students per week. Make sure to interpret your interval.
A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 100 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $55 and a standard deviation of $52. Complete parts (a) and (b) below. a. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $51? (Use a 0.01 level of significance.) State the null and alternative hypotheses. Ho: H (Type integers or decimals. Do not round. Do not include the $ symbol in your answer.) Identify the critical value(s). The critical value(s) is/are (Type an integer or a decimal. Round to two decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic. The test statistic, 1STAT, is (Type an integer or a decimal. Round to two decimal places as needed.) State the conclusion. Ho. There is evidence that the…
On the PSAT test taken by about 1.5 million high school juniors each year, the mean score on the reading portion of the test was 46.9, with a standard deviation of 10.9. The scores are normally distributed. If a student needed a score on this portion of the test that put them in the top 5% of scores nationally to qualify for a particular scholarship, what is the minimum score they must achieve?
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
A study shows that Michigan teachers have measures of job dissatisfaction that are normally distributed with a mean of 3.80 and standard deviation of 0.95. If subjects with scores above 4.0 are to be given more tests, what percentage will fall into that category?
The average length of a phone call for cell phone users in the United States is 8.4 minutes, with standard deviation 2.4 minutes. If you were to take a random sample of 40 cell phone users in US, what is the standard deviation of the sampling distribution?
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.4 and a standard deviation of 1.51. Using the empirical rule, what percentage of American women have shoe sizes that are between 5.38 and 11.42?
Consumer agencies claim that the mean lifespan of a dishwasher is 9.5 years. Your company manufacturers dishwasher and you have been asked to see if this claim is true. You randomly survey 20 households who have recently purchased a dishwasher and ask them how long their previous dishwashers lasted and you calculate a mean of 8.9 years with a standard deviation of 3.1. Is the consumer agency’s claim that a dishwasher lasts 9.5 year correct? What is the p-value for this claim? Consumer agencies claim that the mean lifespan of a dishwasher is 9.5 years. Your company manufacturers dishwasher and you have been asked to see if this claim is true. You randomly survey 20 households who have recently purchased a dishwasher and ask them how long their previous dishwashers lasted and you calculate a mean of 8.9 years with a standard deviation of 3.1. Is the consumer agency’s claim that a dishwasher lasts 9.5 year correct? What is the p-value for this claim? 0.8012 0.1988 0.3975 -0.8656
1) A half-century ago, the mean height of women in a particular country in their 20s was 63.7 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.31 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 26 of today's women in their 20s have mean heights of at least 65.04 inches?
Steve believes that his wife's cell phone battery does not last as long as his cell phone battery. On eight different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 19.7 hours with a standard deviation of 9.4 hours. He measured the length of time his wife's cell phone battery lasted on twelve different occasions and calculated a mean of 18.9 hours with a standard deviation of 5.3 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve's cell phone and Population 2 be the battery life of his wife's cell phone. Step 1 of 2: Construct a 90 % confidence interval for the true difference in mean battery life between Steve's cell phone and his wife's. Round the endpoints of the interval to one decimal place, if necessary.