A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the same. Theearnings (in millions of dollars) for several randomly selected people from each category are shown in thetable below. It has been confirmed that the population variance for each group is equal and that earningsfollow a normal distribution for top-pain actors, athletes and musicians. Use a 1% significance to test theclaim.JobActorActorActorActorActorActorActorActorActorActorActorActorActorActorAthleteAthleteAthleteAthleteAthleteAthleteAthleteAthleteAthleteAthleteMusicianMusicianMusicianMusicianMusicianMusicianMusicianMusicianMusicianMusicianMusicianMusicianMusicianMusicianMusicianEarnings343832212126262634301836343740353862483846334138516235514043594841633447544953What is the factor variable? Top-Paid Job TypeWhat is the response variable? EarningsTest Statistic:P-Value:Decision Rule: Reject the NullDid Something Significant Happen? Significance HappenedThere isoto concludeAt least one true average earning is different between Top-Paid actors, athletes and musicians.0°

Here we’ve to compare 3 group means so we use ANOVA. Let A represents group of Actor, B represents…

Answered: A researcher rcher believes that the…

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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In a small company, the median salary is significantly lower than the mean salary. What does this indicate about the salary distribution in the company? What might be some possible reasons for this pattern?
An adventure company runs two obstacle courses, Fundash and Coolsprint. The designer of the courses suspects that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint. To test this, she selects 250 Fundash runners and 285 Coolsprint runners. (Consider these as random samples of the Fundash and Coolspring runners.) The 250 Fundash runners complete the course with a mean time of 76.7 minutes and a standard deviation of 5.7 minutes. The 285 Coolsprint runners complete the course with a mean time of 77.5 minutes and a standard deviation of 5.6 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, u, of Fundash is not equal to the mean completion time, µa, of Coolsprint? Perform a two-tailed test.…
A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Utah and Oregon. Due to recent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Utah is less than the mean annual income of childcare workers in Oregon. To see if this is true, the firm selected a random sample of 20 childcare workers from Utah and an independent random sample of 20 childcare workers from Oregon and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars 27060 , 42320 , 36445 , 37895, 44564 , 35325 , 30313 , 28698, 33706 , 48365 , 26946 , 25063 , 28339 , 29265 , 40051 , 37026 , 40150 , 42753 , 27820, 39471 Utah 29769 , 48859 , 32480 , 36288,45102 , 46219 ,51098 , 45516 , 38834 , 44659 , 40755 , 38006 , 39947 , 29801 , 32200, 38731 , 41370 , 28059 , 33753 , 35271 Oregon Send data to calc... v Send data to Excel The population standard deviation for the annual incomes of…
It is known that average house prices today is $371,040 higher compared to 10 years ago and median in the current time also $382,000 higher than house prices 10 years ago. Provide an interpretation of the change of mean and median based on the information above. Compare and contrast these values and comment on the distribution of the increases in house prices.
Provide an example of a study, including the variables, level of measurement, and hypotheses, for which a researcher could appropriately choose two different statistics to examine the relations between the same variables. Explain your answer.
Suppose the mean price for used cars is $10,198. A manager of a Kansas City used car dealership reviewed a sample of 50 recent used car sales at the dealership in an attempt to determine whether the population mean price for used cars at this particular dealership differed from the national mean. The prices for the sample of 50 cars are shown in the file named UsedCars. 12,400 10,400 12,100 10,000 11,000 8,895 7,675 9,975 6,350 10,470 9,895 11,250 8,795 12,500 9,340 10,150 9,200 9,395 11,000 10,640 10,000 7,500 8,000 10,440 10,200 10,300 9,740 9,280 10,930 8,000 9,000 7,680 9,400 10,730 7,350 12,240 11,970 8,240 9,910 10,080 9,440 8,970 9,500 10,050 10,130 11,400 8,500 7,500 9,090 10,500 (a) Formulate the hypotheses that can be used to determine whether a difference exists in the mean price for used cars at the dealership. H0: ? ≤ 10,198 Ha: ? > 10,198 H0: ? < 10,198 Ha: ? ≥ 10,198 H0: ? = 10,198 Ha: ? ≠ 10,198 H0: ? > 10,198 Ha: ? ≤ 10,198 H0: ? ≥ 10,198…
Please also explain why you determined whether or not the results are statistically significant. In another memory experiment, the mean scores for participants in Condition A and Condition B came out exactly the same!
A director of research for a radio company conducted a survey of listener preferences and collected information on demographics as well as preferred music. When reviewing the results, he discarded all responses in which a non-Hispanic listener chose Spanish-language music as the favorite genre. Is this an acceptable practice in statistics? Why or why not? Please use terminology associated with statistical practices to explain your answer.
A retail survey asked college students how much they planned to spend in various categories during the upcoming academic year. One category is the amount students planned to spend on school supplies. The data below show the amount of money students planned to spend on school supplies. 58, 60, 67, 69, 70, 73, 74, 77, 78, 80, 83, 84, 87, 89, 94, 96, 97, 100, 102, 105 USE SALT (a) Calculate the mean and median for the distribution of money students planned to spend on school supplies. mean median (b) What is the 75th percentile of the distribution? (c) Determine the five-number summary. minimum Q₁ median Q3 maximum
In a city with three high schools, all the ninth graders took a Standardized Test, with these results: High School Mean Test Score Number of ninth graders (Frequency) Glenwood 81 284 Central 95 323 Lincoln 69 154 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was the average of 81, 95, and 69, which is 81.7. Of course, that is incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place. mean of all ninth grader's scores =
An adventure company runs two obstacle courses, Fundash and Coolsprint. The designer of the courses suspects that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint. To test this, she selects 240 Fundash runners and 200 Coolsprint runners. (Consider these as random samples of the Fundash and Coolspring runners.) The 240 Fundash runners complete the course with a mean time of 76.7 minutes and a standard deviation of 5.2 minutes. The 200 Coolsprint runners complete the course with a mean time of 77.5 minutes and a standard deviation of 5.4 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, μ1 , of Fundash is not equal to the mean completion time, μ2 , of Coolsprint?…
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