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1)The normal model N (58, 21) describes the distribution of weights of chicken eggs in grams. Suppose that the weight of a randomly selected chicken egg has a z score of 1.78. What is the weight of this egg in grams? Round to the nearest hundredth of a gram. 2)In the United States, of the approximately 2.5 million deaths from all causes, an estimated 300,000 deaths are associated with obesity. Approximately 60% of obese Americans are women and about 40% are men. If obesity were listed as a separate cause it would be the 3rd leading cause of death behind heart disease and cancer. As a result, both money and time are spent searching for solutions to obesity. An American company seeking U.S. government approval for its new weight loss drug must perform an experiment before it can legally sell its product. Suppose it is known that men and women are physiologically different and react differently to medication. So 500 obese volunteers (average age was 47 years) were first separated by gender (there were 191 male subjects, 309 female subjects) then the subjects were randomly assigned to either the treatment or a placebo. The experiment lasted 10 weeks and 8 nurses were involved in its administration, neither the nurses nor the subjects knew if they were receiving the placebo or the actual weight loss drug. A table was created to document the distribution of the volunteers: When the experiment was completed, it was discovered that the Placebo group Females lost an average of 5 lbs, the Weight Loss Group Females lost an average of 7 lbs. a) What's The POPULATION of interest to the American company? b) What's The SAMPLE? c) What's an example of a STATISTIC in this study? d) What's The PARAMETER of greatest interest to the American company?
Using one mean Z test to test whether or not to support the claim - Is there evidence that the average hours is below 6? Describe.
A system is tested for 10,000 hours and experiences 2 failures. Its failure rate is believed to be Poisson distributed.
Consider the following data on 20 chemical reactions, with Y = chromatographic retention time (seconds) and X = molecular weight (gm/mole).
Taking samples of n=160, today the number of defective parts were 17 what would be a 95% confidence interval for proportion defective?
A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random smaple of 130 of the school's students, 32% of them plan to go into general practice. Find the P-value for a test of the s..
Develop a linear regression model for these data and forecast carpet sales if 30 construction permits for new homes are filed.
A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph.
The annual demand for a product is 1,000 units. The company orders 200 units each time an order is placed. The lead-time is 6 days, and the company has determined that 20 unites should be held as a safety stock.
If only 1.1% of the bus drivers have a weekly income of more than $429.35, what is the value of the standard deviation of the weekly earnings of the bus drivers?
Assume that 6 customers enter store and that these customers make independent purchase decisions. Use binomial formula to compute probability that exactly five customers make purchase.
65% were not interested in returning to work. Find the 95% confidence interval of the true proportion of workers who do not wish to return to work.
Five percent of the respondents gave $25,000 or more to charity over the previous year. Develop a 95% confidence interval for the proportion who gave $25,000 or more to charity.
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