EBK BUSINESS STATISTICS
7th Edition
ISBN: 8220102743984
Author: STEPHAN
Publisher: PEARSON
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A sports psychologist wants to compare the running time for athletes vs non-athletes while running 1 mile. He collects data from 226 non-athletes and 166 athletes and analyzes it using SPSS.
A random sample of 3439 songs was selected from the Spotify database and twelve variables were measured for each song. Remember, the Mode variable indicates the type of scale the song’s melodic content is derived from (Major or Minor). Popularity is on a scale of 0 to 100 and songs with higher numbers are more popular. Let us now investigate whether Major songs are significantly more “Popular” than Minor songs. Let us define “Popular” as songs that earned a popularity rating of 50 or higher. From the random sample of songs, there were 1964 Major songs and of those 853 were rated “Popular.” In addition, there were 1475 Minor songs and of those 587 were rated “Popular.” In this investigation we will subtract (Major – Minor).
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- What are the variables for the study and classify each as categorical or numerical?arrow_forwardDo women and men differ in how they perceive their life expectancy? A researcher asked a sample of men and women to indicate their life expectancy. This was compared with values from actuarial tables, and the relative percent difference was computed; perceived life expectancy minus life expectancy from actuarial tables was divided by life expectancy from actuarial tables and converted to a percent. The relative percent differences for all men and women over the age of 7070 in the sample are given. Men −28−28 −23−23 −20−20 −19−19 −14−14 −13−13 Women −20−20 −19−19 −15−15 −12−12 −10−10 −8−8 −5−5 The given data shows output for the two‑sample ?t test using Option 1. This output is from CrunchIt! software, which does Option 1 without rounding or truncating the degrees of freedom. Do men and women over 70 years old differ in their perceptions of life expectancy? There is somewhat strong evidence that men and women differ in their views on their own longevity; we would reject ?0H0…arrow_forwardA Cohort study was planned to identify the relationship between smoking and lung cancer. The number of people in smoker group was 500 people while the number of people in non- smokers group was 1000 people. The number of people with lung cancer was 250 people and 100 people in smokers group and non-smokers group respectively. Fill in the table below: Lung Cancer No disease diagnosed Smokers Non smokers Calculate the relative risk of lung cancer in smokers when compared with non- smokers.arrow_forward
- Please answer all sub-parts According to the manufacturer of M&Ms, 12% of peanut M&Ms in a bag should be brown, 15% yellow, 12% red, 23% blue, 23% orange, and 15% green. A student randomly selects a bag of peanut M&Ms. For the 400 M&Ms in the bag, the the number of M&Ms that were of each color is in the table below. At the ? = 0.05 level, does the data support the manufacturer's claim for the distribution of colors of peanut M&Ms? (Note: We did not give the Expected Counts, you will need to compute them yourself.) Color Frequency Brown 53 Yellow 66 Red 38 Blue 96 Orange 88 Green 59 Complete the hypothesis test: a) State the null and alternative hypotheses: H0 and H1 b) Compute the ?2 statistic c) Give the critical ?2 value (from Table VIII). d) State the conclusionarrow_forwardSuppose you as a researcher have collected data on wages, education, experiences and gender. In addition, you also asked the information on whether the respondent graduated from local or overseas university. Write a model that would allow you to test whether graduates from overseas university has different effect on wages between male and female. Describe the proxies and unit of measurement you use for the variables in the model.arrow_forwardplease do with rstudio and provide all the codes.arrow_forward
- a study of 5552 first year college students asked about their favorite choice for doing online research. possible choices were google or google scholar, library data base or website, wikipedia or online encyclopedia and other. Name of the students were not recorded but the students were numbered from 1 to 552 in the data file. researchers also recorded age, sex, and major area of study for each student What are the cases? Identify the variables and possible values. Classify each variable as categorical or quantitative. be sure to include atleast one of each.arrow_forwardDescribe how outliers can impact the relationship between two variables?arrow_forwardThe mean weight of 150 students in a certain class is 60 kg. The mean weight of boys in the class is 70 kg. and that of the girls is 55 kg. Find the number of boys and the number of girls in the class.arrow_forward
- Elaine is interested in determining if men are more satisfied in their jobs than women in the healthcare industry. She administers a job satisfaction questionnaire to 20 men and 20 women working in hospital administration. Her grouping variable is gender and dependent variable is job satisfaction. The job satisfaction scale consists of 8 items measured using a 5-point rating scale. A higher score on this scale would indicate high job satisfaction. The maximum score that can be obtained on the scale is 40. We can assume that job satisfaction scores are normally distributed. Use the appropriate T test with a significance level of 0.05 to test the hypothesis. Research Question Do the mean job satisfaction scores differ for men and women working in the hospital administration department? Hypothesis The mean job satisfaction scores do not differ for men and women working in the hospital administration department. Create a graph to show the differences between the two groups.arrow_forwardElaine is interested in determining if men are more satisfied in their jobs than women in the healthcare industry. She administers a job satisfaction questionnaire to 20 men and 20 women working in hospital administration. Her grouping variable is gender and dependent variable is job satisfaction. The job satisfaction scale consists of 8 items measured using a 5-point rating scale. A higher score on this scale would indicate high job satisfaction. The maximum score that can be obtained on the scale is 40. We can assume that job satisfaction scores are normally distributed. Use the appropriate T test with a significance level of 0.05 to test the hypothesis. Research Question Do the mean job satisfaction scores differ for men and women working in the hospital administration department? Hypothesis The mean job satisfaction scores do not differ for men and women working in the hospital administration department. Compute an independent sample t test on these data. Report…arrow_forwardElaine is interested in determining if men are more satisfied in their jobs than women in the healthcare industry. She administers a job satisfaction questionnaire to 20 men and 20 women working in hospital administration. Her grouping variable is gender and dependent variable is job satisfaction. The job satisfaction scale consists of 8 items measured using a 5-point rating scale. A higher score on this scale would indicate high job satisfaction. The maximum score that can be obtained on the scale is 40. We can assume that job satisfaction scores are normally distributed. Use the appropriate T test with a significance level of 0.05 to test the hypothesis. Research Question Do the mean job satisfaction scores differ for men and women working in the hospital administration department? Hypothesis- The mean job satisfaction scores do not differ for men and women working in the hospital administration department. Write a Results section based on your analysis. Interpret results of…arrow_forward
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