A company held a blood pressure screening clinic for its employees. The results are summarized in the table below by age group and blood pressure level. *** a) Find the marginal distribution of blood pressure. Age 30-49 Over 50 Blood Pressure 40 32 Low 93 Normal 91 52 71 High 196 183 95 Total (Round to one decimal place as needed.) b) Find the conditional distribution of blood pressure level within each age group. Start by finding the conditional distribution of blood pressure for the under 30 age group. Blood Pressure Under 30 27 47 21 Low Normal High Total 99 231 144 474 Under 30 100.0 27 47 21 E Age 30-49 40 91 52 . Over 50 Next 2:26 PM 4/30/2022 32 93 71
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- What is a sample space?The Washington Post reported that, in the United States, 66% of adults and 87% of youths ages 12 to 17 use the Internet. Use the reported numbers as the population proportions and assume that samples of 300 adults and 300 youths will be used to learn about attitudes toward Internet security. a) Show the sampling distribution of /p where /p is the sample proportion of adults using the Internet? Compute four decimal places b) What is the probability that the sample proportion of adults using the Internet will be within ± .04 of the population proportion? Compute four decimal places c) What is the probability that the sample proportion of youths using the Internet will be within ± .04 of the population proportion? Compute four decimal placesIn a poll conducted by the General Social Survey, 81% of respondents said that their jobs were sometimes or always stressful. Suppose a sample of 500 adults is takes and the proportion that say their jobs were sometimes or always stressful is recorded. Assuming np(1-p) > 10, what is the mean of the sampling distribution of the sample proportion for this problem?
- According to a dental association, 71% of all dentists use nitrous oxide (laughing gas) in their practice. In a random sample of 500 dentists, let p represent the proportion who use laughing gas in practice. Complete parts a through d below. a. Find Ep. b. Find σp. c. What does the Central Limit Theorem say about the shape of the sampling distribution of p? A. The Central Limit Theorem does not say anything about the sampling distribution of p because it is not a population mean. B. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will approach the population distribution. C. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will become approximately normal. D. The Central Limit Theorem says that the shape of the sampling distribution of p is completely determined by the population parameter p. d. Find P(p>0.55).As a Physical Education teacher of ADU, Sir Loui wants to compute for the Body Mass Index of few students as part of his research. As a start, the following are the height of five students in meters. Jaeight- 1.47; Mae - 1.58; Grace - 1.67; Dyan - 1.69 and Ruzz - 1.51. Supposed samples of size 2 are taken from this population of five students. Construct a sampling distribution for the solutions and answers.a. What is the probability of getting a mean of 1.57?b. What is the mean of the sampling distribution of sample means?c. How many possible outcomes?d. What is the variance of the population?e. What is the mean of the population?f. What is the standard deviation of the sampling distribution of sample means?As a Physical Education teacher of ADU, Sir Loui wants to compute for the Body Mass Index of few students as part of his research. As a start, the following are the height of five students in meters. Jaeight- 1.47; Mae - 1.58; Grace - 1.67; Dyan - 1.69 and Ruzz - 1.51. Supposed samples of size 2 are taken from this population of five students. Construct a sampling distribution for the solutions and answers.g. What is the probability of getting a mean of 1.49?h. What is the probability of getting a mean of 1.60?i. What is the probability of getting a mean of 1.58?j. What is the probability of getting a mean of 1.68?k. What is the variance of the sampling distribution of sample means?l. What is the standard deviation of the population?
- the Wall Street Journal reported that the age at first startup for 55% of entrepreneurs was29 years of age or less and the age at first startup for 45% of entrepreneurs was 30 yearsof age or more (the Wall Street Journal, March 19, 2012).a. Suppose a sample of 200 entrepreneurs will be taken to learn about the most importantqualities of entrepreneurs. Show the sampling distribution of p where p is the sampleproportion of entrepreneurs whose first startup was at 29 years of age or less.b. What is the probability that the sample proportion in part (a) will be within ±.05 ofits population proportion?the Wall Street Journal reported that the age at first startup for 55% of entrepreneurs was29 years of age or less and the age at first startup for 45% of entrepreneurs was 30 yearsof age or more (the Wall Street Journal, March 19, 2012).a. Suppose a sample of 200 entrepreneurs will be taken to learn about the most importantqualities of entrepreneurs. Show the sampling distribution of p where p is the sampleproportion of entrepreneurs whose first startup was at 29 years of age or less.b. What is the probability that the sample proportion in part (a) will be within ±.05 ofits population proportion?c. Suppose a sample of 200 entrepreneurs will be taken to learn about the most importantqualities of entrepreneurs. Show the sampling distribution of p where p is now thesample proportion of entrepreneurs whose first startup was at 30 years of age or more.Based on murder rates in the United States, the Associated Press reported that the probability a newborn child has of eventually being a murder victim is 0.0263 for nonwhite males, 0.0049 for white males, 0.0072 for nonwhite females, and 0.0023 for white females. a) Find the conditional odds ratios between race and whether a murder victim, given gender. Interpret. b)If half the newborns are of each gender, for each race, find the marginal odds ratio between race and whether a murder victim.
- Suppose a company surveyed the work preferences and attitudes of 1,006 working adults spread over three generations: baby boomers, Generation X, and millennials. In one question, individuals were asked if they would leave their current job to make more money at another job. The sample data are summarized in the following table. Leave Job forMore Money? Generation Baby Boomer Generation X Millennial Yes 119 154 172 No 197 185 179 Conduct a test of independence to determine whether interest in leaving a current job for more money is independent of employee generation. State the null and alternative hypotheses. H0: Interest in leaving job for more money is not mutually exclusive of the employee generation.Ha: Interest in leaving job for more money is mutually exclusive of the employee generation. H0: Interest in leaving job for more money is not independent of the employee generation.Ha: Interest in leaving job for more money is independent of the employee generation.…For any sample of size 90, the population mean, the mean of the sampling distribution for the sampling mean and the sample mean will all be equal to each other. Is this true or falsehe Princeton Review, a company that tracks information about various colleges, reports that 30% of CofC students are out-of-state students. If we took many samples of CofC students, and for each sample calculate the proportion $\hat{p}$ of out-of-state students in that sample, what would be the center of this distribution?