Question 9 Consider the following data collected in a study concerning an individuals' health and income. W is the probability a randomly selected individual in the study has bad health and low income? Bad Health Good health Total Low income 300 100 Middle income 200 100 High income 100 200 Total 1000 70% 60% 33.3% 30%
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- The weekly chocolate milk consumption of 40 randomly selected children is represented in the following histogram. А. Weekly Chocolate Milk Consumption 3.25 3.0 2.75 2.5 2.25 2 1.75 1.5 1.5 1.5 1.25 1.25 1.0 1 0.75 E 0.75- 0.5 0.25 2.5 7.5 10.5 18.5 22.5 26.5 30.5 Glasses/week (i) Based on the above histogram, construct a grouped frequency table showing the group boundaries, frequency density, frequency, and class width. (ii) Calculate the following sample statistics: (a) Mean (b) Standard deviation (c) Mode and median (using the interpolation formula) (d) Pearson Coefficient of Skewness using the median value. Hence, comment on the shape of the distribution. (iii) Construct a 98% confidence interval estimate of the mean weekly chocolate milk consumption for the population. Assume that the population variance is 49. Frequency DensityAre birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain in the Northwest asked just this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 190 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories. Answer the following to summarize the test of the hypothesis that birthdays are equally…Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain asked this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 180 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories. (Each expert I have asked has gotten the critical value wrong so I added a picture of the correct formula to…
- Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 53 19 26 Male 54 2 16 Distribution of Super Power by Gender What is the empirical probability that a randomly selected superhero will have telepathy?The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 96 Married, no children 29% 118 Single parent 9% 37 One person 25% 95 Other (e.g., roommates, siblings) 11% 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are the same.H1: The distributions are different. H0: The distributions are different.H1: The distributions are the same. H0: The distributions are different.H1: The distributions are different. (b) Find the…Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 19 88 90 Male 96 33 68 Distribution of Super Power by Gender What is the empirical probability that a randomly selected superhero will have telepathy? Answer in decimal form. Round to 3 decimal places as needed
- Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 34 77 Male 54 68 75 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will have Super Strength?Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 91 15 97 Male 44 74 80 Distribution of Super Power by Gender What is the empirical probability that a randomly selected superhero will have super strength? Answer in decimal form. Round to 3 decimal places as needed Your Answer: AnswerGiven the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 47 42 45 Male 44 34 12 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will be able to fly?
- Residents of certain regions were asked about their thoughts on national defense spending. The results are represented in the table below. Northeast Southeast Midwest West Increase defense spending 466 227 366 239 Keep spending the same 224 344 188 142 Decrease defense spending 409 359 128 173 What is the empirical probability that an individual from the West wants to decrease defense spending? Answers should be percentages correct to two decimal places.Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 73 71 38 Male 61 90 76 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will be able to fly?a. What is the probability of seeing positive change? b. What is the probability of seeing positive change given that the tree is oak? c. Do the data suggest effect and tree type are independent events? yes or no
