Preliminary data analyses indicate that you can reasonably use a t-test to conduct each of the hypothesis tests required in Exercises Apparel and Services. According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer unit spent $1736 on apparel and services in 2012. That same year, 25 consumer units in the Northeast had the following annual expenditures, in dollars, on apparel and services. 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 5% significance level, do the data provide sufficient evidence to conclude that the 2012 mean annual expenditure on apparel and services for consumer units in the Northeast differed from the national mean of $1736? (Note: The sample mean and sample standard deviation of the data are $1922.76 and $350.90, respectively.)

Preliminary data analyses indicate that you can reasonably use a t-test to conduct each of the hypothesis tests required in Exercises Apparel and Services. According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer unit spent $1736 on apparel and services in 2012. That same year, 25 consumer units in the Northeast had the following annual expenditures, in dollars, on apparel and services. 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 5% significance level, do the data provide sufficient evidence to conclude that the 2012 mean annual expenditure on apparel and services for consumer units in the Northeast differed from the national mean of $1736? (Note: The sample mean and sample standard deviation of the data are $1922.76 and $350.90, respectively.)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

See similar textbooks

Similar questions

What is meant by the sample space of an experiment?
According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? Test at the 5% level. viii) Comparing p-value and α value, which is the correct decision to make for this hypothesis test? A. Reject H B. Fail to reject Ho C. Accept Ho D. Accept HA Enter letter corresponding to correct answer. (ix) Select the statement that most correctly interprets the result of this test: A. The result is statistically significant at .05 level of significance. Evidence supports the claim that the proportion of complaints due to identity theft in Alaska is less than 23%. B. The result is statistically significant at .05 level of significance. There is not…
In Exercises, use either the critical-value approach or the P-value approach to perform the required hypothesis test. Buckling Up. The National Highway Traffic Safety Administration collects data on seat-belt use and publishes results in the document Occupant Restraint Use. Of 1000 drivers 16–24 years old, 79% said that they buckle up, whereas 924 of 1100 drivers 25–69 years old said that they did. At the 1% significance level, do the data provide sufficient evidence to concludethat there is a difference in seat-belt use between the two age groups?
The following are prices of a sanitizer sold at a few selected stores in a District A during theCOVID-19 pandemic. Based on the sample data, at 0.05 level of significance, can weconclude the average price of the sanitizer in District A is RM10.50? Make your conclusionusing the p-value approach, with the aid of Microsoft Office EXCEL. RM10.00, RM11.50, RM9.70, RM11.20, RM10.70, RM10.20, RM9.70
A market research study hopes to determine if the average sales of house entertainment units will increase in a test market with the introduction of a new package. Sales recorded in a 32-day period for the old package and a 30-day period for the new package were as follows: What can be concluded at 2.5% significance level? Use the Ten Step Process. Ho:_________________________________________________________________ Ha:_________________________________________________________________ Type of Test:_________________________________________________________ Level of Significance:___________________________________________________ Test Statistic:_________________________________________________________ Formula:_____________________________________________________________ Computed Value:______________________________________________________ Tabular Value:_________________________________________________________ Decision:_____________________________________________________________…
An information technology help desk has a service level agreement (SLA) that says that clients should be contacted about their service requests within 1 hour (60 minutes) of the help desk receiving the request. Jackie, the help desk manager, wants to check if the help desk is actually taking longer than 60 minutes to respond. For a random sample of 20 service requests, Jackie obtained the time between the help desk receiving the request and the client being contacted. The marketer conducts a one-mean hypothesis at the 5% significance level, to test whether the response time is greater than 60 minutes. (a) Which answer choice shows the correct null and alternative hypotheses for this test? Select the correct answer below: H0:μ=20; Ha:μ<20, which is a left-tailed test. H0:μ=60; Ha:μ<60, which is a left-tailed test. H0:μ=20; Ha:μ>20, which is a right-tailed test. H0:μ=60; Ha:μ>60, which is a right-tailed test.
A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data? Number of Cigarettes Smoked per Day 0 1–14 15–34 35 and over Wear Seat Belts 193 12 45 5 Don't Wear Seat Belts 147 21 32 a) determine the null and alternative hypotheses. b) find the test statistic. c) determine the P-value. d) does this reject or fail to reject the null hypothesis?
A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data? Number of Cigarettes Smoked per Day 0 1–14 15–34 35 and over Wear Seat Belts 165 25 40 12 Don't Wear Seat Belts 151 14 41 5
A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data? Number of Cigarettes Smoked per Day 0 1–14 15–34 35 and over Wear Seat Belts 169 29 39 10 Don't Wear Seat Belts 153 24 34 11 a) determine the null and alternative hypothesis. b) what is the test statistic? c) whst is the P-value? d) use a significance level of 0.05 to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this…
Determine whether the alternative hypothesis is supported at a 0.05 significance level. would B be correct?
In a random sample of 1000 adult Americans, 700 indicated that they oppose the reinstatement of a military draft. Is there convincing evidence that the proportion of American adults who oppose the reinstatement of the draft is different from two-thirds? Significance level, α= 0.01 state hypothesis z value p-value decision conclusion
The National Cyber Security Alliance claims that 85% of computer owners believe that they have a antivirus program installed on their computer. If a random sample of 400 scanned computers found that 324 of them (81%) actually had an antivirus program installed, use the sample proportion to test the claim at the 90% (? = 0.10) significance level. Use the hypothesis H0: p = 0.85 and H1: p ≠ 0.85 with a two-tail test: Based on the above Z score – should you REJECT the null hypothesis H0? (A) YES (B) NO