EXAMPLE 1Are Male Professors and Female Professors RatedDifferently by Students?Listed below are student course evaluation scores for courses taught by female pro-fessors and male professors (from Data Set 17 “Course Evaluations" in Appendix B).Use a 0.04 significance level to test the claim that the two samples are from popula-tions with the same mean. Does there appear to be a difference in evaluation scoresof courses taught by female professors and male professors?Female 4.3 4.3 4.4 4.03.4 4.7 2.9 4.0 4.3 3.4 3.4 3.3Male4.5 3.7 4.2 3.9 3.1 4.0 3.8 3.4 4.5 3.8 4.3 4.4 4.1 4.2 4.0

In the given case, we want to test if the population mean of the two samples is equal or not. The…

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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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Listed below are head injury data from crash test dummies used in cars of various sizes. These measurements are in hic, which denotes a standard head injury criterion. Use a 0.05 significance level to test the null hypothesis that the different car categories have the same mean.
A hypertension trial is mounted and 12 participants are randomly assigned to receive either a new treatment or a placebo. Each participant takes the assigned medication and their systolic blood pressure (SBP) is recorded after 6 months on the assigned treatment. The data are as follows. Placebo New Treatment 132 114 143 119 148 121 144 124 155 126 160 128 Is there a difference in mean SBP between treatments? Run the test at a 5% level of significance. Give each of the following to receive full credit : 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic ; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.
Suppose the Land Transportation and Franchising Regulatory Board (LTFRB) wants to examine the safety of Public Utility Vehicles (PUVS)– Jeepneys, Van and Buses. It collects a sample of three for each of the PUVS for analysis. Using the hypothetical data provided below, test whether the mean pressure applied to the driver's head during a crash test is equal for each type of PUVS. Use a =5%. JEEPNEY VAN BUS 643 469 484 655 427 456 702 525 402 Using the data in the previous example, at a = 0.05 level of significance, test the claim that the two populations have equal means.
3. Dentists make many people nervous. To assess any effect of such nervousness on blood pressure, the systolic blood pressure of 60 subjects was measured both in a dental setting and in a medical setting (The Effect of the Dental Setting on Blood Pressure Measurement," Amer. J. of Public Health, 1983:1210- 1214). For each subject, the difference between dental setting pressure and medical setting pressure was computed; the resulting sample mean difference and sample standard deviation of the differences were 4.47 and 8.77 mmHg, respectively. o (a) Estimate the true mean difference between blood pressures for these two settings using a 99% confidence level. o (b) Does it appear that the true mean pressure is different in a dental setting than in a medical setting? Explain your reasoning.
Listed below are the lead concentrations in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Use a significance level to test the claim that the mean lead concentration for all such medicines is less than 14. 3.0,6.5,6.0,5.5,20.5,7.5,12.0,20.5,11.5,17.5
Listed below are times (in minutes and seconds) that a statistics instructor recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.10 significance level to test the claim that the samples are from populations with the same median. What do the data suggest? Mile 1 Mile 2 Mile 3 3:18 3:25 3:31 3:14 3:30 3:31 3:15 3:25 3:35 3:20 3:26 3:28 3:16 3:24 3:27 First determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The samples come from populations with equal medians. H₁: The samples come from populations with medians that are not all equal. O B. Ho: The samples come from populations with means that are not all equal. H₁: The samples come from populations with equal means. O C. Ho: The samples come from populations with medians that are not all equal. H₁: The samples come from populations with equal medians. O D. Ho: The samples come from populations with equal means. H₁: The samples come from populations with means that…
An author argues that more American-born baseball players have birth dates in the months immediately following July 31 because that was the age cutoff date for nonschool baseball leagues. The table below lists months of births for a sample of American-bom baseball players and foreign-bom baseball players. Using a 0.05 significance level, is there sufficient evidence to warrant rejection of the claim that months of births of baseball players are independent of whether they are born in America? Do the data appear to support the author's claim? Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec. 345 333 311 314 499 420 Bom in America Foreign Born 385 332 383 101 83 431 400 371 100 103 82 84 82 94 84 59 92 69 Identify the null and alternative hypotheses for this test O A. H: The frequency of births is independent of the month. H: The frequency of births is dependent of the month. OB. H: The frequency of births is dependent of the month. H: The frequency of births is independent…
An author argues that more American-born baseball players have birth dates in the months immediately following July 31 because that was the age cutoff date for nonschool baseball leagues. The table below lists months of births for a sample of American-born baseball players and foreign-born baseball players. Using a 0.05 significance level, is there sufficient evidence to warrant rejection of the claim that months of births of baseball players are independent of whether they are born in America? Do the data appear to support the author's claim? Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec. Born in America 387 329 366 346 339 312 310 503 424 437 397 372 Foreign Born 101 81 84 81 93 82 59 90 69 99 104 81 Identify the null and alternative hypotheses for this test. O A. Ho: Months of births of baseball players are independent of where they are born. H1: : Months of births of baseball players are dependent of where they are born. B. Ho: The frequency of births is dependent of…
A poll was conducted to investigate opinions about global warming. The respondents 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 are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 307 173 27 Female 326 148 29 Identify the null and alternative hypotheses. Ho: (1)__________and (2)___________are (3)_____________…
Monthly salary computations from two different clothing companies yielded the following data: n=7, ?=9,130$, ?=386$; ?= ?, ?=8,840$, ?=212$. At the level of significance 0.05, can we conclude that the mean monthly salary from the two companie is not the same?
A Bloomberg Businessweek subscriber study asked, "In the past 12 months, when traveling for business, what type of airline ticket did you purchase most often?" A second question asked if the type of flight was domestic or international travel. Sample data obtained are shown in the following table. Type of Flight Type of Ticket Domestic International First Class 26 21 Business Class 99 123 Economy Class 515 137 a. Using a 0.05 level of significance, is the type of ticket purchased independent of the type of flight? Ho: Type of ticket purchased is independent of the type of flight H.: Type of ticket purchased is not independent of the type of flight v Compute the value of the x test statistic (to 2 decimals). Use Table 3 of Appendix B to find the p-value. The p-value is - Select your answer - What is your conclusion? Conclude that the type of ticket purchased Select your answer - v the type of flight. b. Discuss any dependence that exists between the type of ticket and type of flight. I.…
Scientists measured the amount of drug in tablets produced at two different, independent sites. Scientists want to know whether there is any difference between the mean drug concentration in tablets produced at Site 1 and Site 2. Run the appropriate test in Excel, assuming the population variances are equal. Use an a = .05 significance level. Submit the...

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