Reason for CallEstimationRepairInstallationOtherTotalWeekendNo4413012016310Yes116015490Total5519013520400. 4. A plumbing company is interested in whether the reasons for service calls tend to differbetween weekdays and weekends. The following table summarizes a random sample of 400service calls, giving both the reason why the call was made and whether or not it was theweekend; do the data provide evidence of an association between the two variables? Test atthe 5% significance level.

Answered: 4. A plumbing company is interested in…

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 work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Hours 47 47 55 51 48 65 51 52 50 49 51 54 What are the correct hypotheses? Ho: Select an answer ✓ ? ✓ Ha: Select an answer ✓ Test Statistic= hours Based on the hypotheses, find the following: p-value= hours (Give answer to at least 4 decimal places.) (Give answer to at least 4 decimal places).
A research poll was conducted to investigate opinions about global warming. The respondent who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results for two age brackets are given in the table below. Human Activity Natural Patterns Don't know Under 30 108 41 7 65 and over 121 71 43 a. At the 1% significance level, test the claim that age bracket is independent of the choice for global warming. State the null and alternate hypothesis, find the test statistic and p-value, and state the decision. b. Do respondents from both age brackets appearto agree, or is there a substantial difference? What distribution is used to do the hypothesis testing? What is different about this C. distribution?
Many people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The accompanying table summarizes randomly selected sample data for defendants in burglary cases. All of the subjects had prior prison sentences. Use a 0.05 significance level to test the claim that the sentence (sent to prison or not sent to prison) is independent of the plea. If you were an attorney defending a guilty defendant, would these results suggest that you should encourage a guilty plea? Guilty Plea Not Guilty Plea Sent to Prison 418 48 Not Sent to Prison 558 43
Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use ? = 0.05 and test to see whether the consultant with more experience has the higher population mean service rating. Assume the population variances are unequal. Consultant A Consultant B n1 = 16 n2 = 10 x1 = 6.85 x2 = 6.25 s1 = 0.69 s2 = 0.75 (a) State the null and alternative hypotheses. -H0:?1 − ?2 = 0 Ha:?1 − ?2 = 0 -H0:?1 − ?2 > 0 Ha:?1 − ?2 = 0 -H0:?1 − ?2 ≠ 0 Ha:?1 − ?2 = 0 -H0:?1 − ?2 = 0 Ha:?1 − ?2 > 0 -H0:?1 − ?2 = 0 Ha:?1 − ?2 ≠ 0 (b) Compute the value of the test statistic. (Round your answer to three decimal places.)…
Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total --------- --------- ------ ------ ------- # of apples purchased 896 934 934 971 3735 (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season O Họ: the distribution of apples people purchased is not the same for each season vs. HẠ: the distribution of apples people purchased is the same for each season O Họ: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season O Họ; the distribution of apples people purchased is…
Use the attached table to answer the following: What is the dependent (response, outcome) variable? What is the independent (explanatory) variable? Describe the pattern of association between subjective class and satisfaction with financial situation.
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. Color of Helmet Black White Yellow Red Blue Controls (not injured) 494 343 27 168 99 Cases (injured or killed) 210 107 6 71 47
A researcher believe that increasing attention given to children will improve academic performance. He invites parents to volunteer during school to help the children with their activities. At the end of the school year he compares the academic performance of these children with the mean and standard deviation of historical rate on academic achievement. Which statistic test is appropriate for this study and why? (By using the decision tree). A. Z test B. Single sample t test C. Two independent samples t test D. Two related samples t test E. One way between subjects ANOVA F. Correlation
A sales analyst wants to determine whether there is a difference in the mean monthly sales of a company's four sales regions. Several salespersons from each region are randomly selected and they provide their sales amount (in thousands of dollars) for the previous month. Using a 1% significance, can we conclude at least one region is different on average? North East South West 27 28 16 26 38 23 22 29 19 | 17 16 26 29 25 25 34 26 23 What is the factor variable? Region What is the response variable? Sales Amount Test statistic: P-value:
Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use a = 0.05 and test to see whether the consultant with more experience has the higher population mean service rating. Assume the population variances are unequal. Consultant A Consultant B n1 = 16 n2 10 X1 = 6,81 X2 = 6.25 %3D S1 = 0.68 S2 = 0.75 (a) State the null and alternative hypotheses. O Hoi H1 - H2 = 0 Hai H1- Hz>0 O Ho: H1 - 42 = 0 Hại H1 - H2# 0 O Ho: H1 - H2 > 0 %3D Ha: H1 - H2 = 0 O Ho: H1 - Hz # 0 Hai Hy - Hz = 0 Hoi H1 - H2 = Hai H1- H2 = 0 (b) Compute the value of the test statistic. (Round your answer to three decimal places.) 19.191 (c) What is the p-value?…
Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05. Longboard: 4,10,9,4,9,8,8,6,7,9,11,11,9,15,11,16,13,11,12,18,18,13,12,15,20,22,7,24,22,24 Shortboard: 6,4,4,6,9,9,6,8,4,8,8,5,9,9,4,16,12,9,13,13,10,13,11,12,14,14,9,21,19,10 Determine the hypotheses for this test. Choose the correct answer below. C. Ho: HL Hs Hai HL # Hs Ha: HL = Hs O D. Ho: HL = Hs Ha: HL Hs F. Ho: HL # Hs Ha: HL = Hs Find the test statistic for this test. t%=D (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places as needed.) What is the…

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