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Spread of Diabetes
A random sample of 100 people from different age groups was taken. The mean age of diabetic patients was 31.32 years with a margin of error of 17.4 years. The distribution of age is normal.
a. Decide whether each of the following statements is worded correctly for the confidence interval, and fill in the blanks for the correctly worded one(s).
i. We are 95% confident that the boundaries of the interval are __ and ___.
ii. We are 95% confident that the population mean is between ___ and ___.
iii. We are 95% confident that the sample mean is between __ and ___.
b. Can we reject a population mean of 27 years on the basis of these numbers? Explain.
Suppose X1;::: ; X5 are independent U Œ0; 1] variables. Find the joint density of X.2/; X.3/; X.4/, and E.X.4/ C X.2/ - 2X.3//.
Find the critical value (cutoff value) in a T-distribution for a 98% confidence level when the sample size is 20. Use a T-distribution table.
A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on very accurate scale. The results in grams were 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477 (a)Construct a 90% confidence interval for the tr..
Let Y1 Y2 ··· Y,. denote the order statistics of a random sample of size n from a distribution that has p.d.f. f( x) = 3:x:2/fJ3, 0 x 8, zero elsewhere.
Suppose that 20 students have registered for course this semester. Determine the probability that two or fewer will withdraw? Determine the probability that exactly four will withdraw?
A study was conducted of the annual incomes of beginning probation officers in metropolitan areas of less than 100,000 population and in metropolitan areas having more than 500,000 population.
question the manager of the toledo mudhens decides to see whether batting practice think of this as the equivalent a
This yields 4 conditions: normal, mean (0 for errors, constant within treatment), constant variance and independent. B)(3) From the output given, are the assumptions in part a) satisfied?
Statewide real estate sales agency, Farm Associates, specializes in selling farm property in state of Nebraska. At.10 significance level, has there been an increase in selling time?
Determine the average number of farms per state from these data. The mean computedfrom the original ungrouped data was 41,796 and the standard deviation.
A friend has three boys and would like to have a girl. She explains to you that the probability that her next baby will be a girl is very high.
A shipping form keeps 2 cars in readiness for local delivery. Because of demands on their time and the frequency of mechanical failure, the probability that a particular car will be available when needed is 0.9.
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