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A law student, who want to check a professor's claim that convicted embezzlers spend on average 12.3 months in jail, takes a random sample of 36 such cases from court files. Using his results, namely, a mean of 10.8 months and a standard deviation of 3.9 months, test the hypothesis u=12.3 versus the alternative hypothesis u≠12.3 at a level of significance of 5% and at a level of significance of 1%.
If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means:
A doctor prescribed the drug penicillin to three different patients as a form oLtreatment for an infectious disease. It is known from the general population that 20 out of every 100 individuals are allergic to the drug.
Construct a frequency distribution and construct a histogram for the following data and use seven intervals, starting with 30-39.
A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 2 inches. A random sample of 36 fish is taken from the tank.
A stockbroker at Critical Securities reported that the mean rate of return on a sample of 10 oil stocks was 12.6 percent with a standard deviation of 3.9 percent. The mean rate of return on a sample of 8 utility stocks was 10.9 percent with a stan..
A medical research team studied the ages of 34 patients who had strokes caused by stress. The frequency distribution below summarizes the results. When trying to understand the stroke data, what would be the advantage of looking at a histogram ins..
For the following investigative scenarios, state the null hypothesis, and the alternative hypothesis. Also identify the Type 1 and Type 2 errors which can result based on the hypotheses that you defined.
Evaluate the data below using the Kruskal - Wallis Nonparametric Hypothesis Test. Explain why you chose this particular nonparametric test to analyze your data.
The sample information is reported below. At the .10 significance level can we conclude that there is a difference in the amounts quoted?
While dealing with 16 students, suppose that the alternative hypothesis has been one-sided and that it was set as Ha :
A confidence interval estimate for the population mean is given to be (41.16, 49.85). If the standard deviation is 16.290 and the sample size is 54, answer each of the following (show all work):
The following table is from the Social Security Actuarial Tables. For each age, it gives the probability of death within one year, the number of living out of an original 100,000 and the additional life expectancy for a person of that age.
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