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By statistics, faculty with rank of assistant professor (AP) finishing their 2nd year of employment at a higher education institution in Ontario earn an average of $ 75,360 per year with a standard deviation of $2,800. In an attempt to verify this salary level, a random sample of 40 AP with 2 years of experiment was selected from a personnel database for all higher education institutions in Ontario.
a. Describe the sampling distribution of the sample mean X of the average of these 40 AP.
b. Within what limit would you expect the sample mean to fall with probability .95?
c. If the random sample actually produced a sample mean X = 72, 000, would you consider this rather unusual? What conclusion might you draw then?
A random sample of 300 beer drinkers is selected and each member of the sample is asked to choose between two brands of beers: Brand A and Brand B. The results are that 165 prefer Brand A and 135 prefer Brand B.
At.05 level of significance, is there evidence to propose that mean life length of the batteries manufactured by this manufacturer is more than 400 hours?
a decision maker is considering including two additional variables into a regression model that has as the dependent
Find p^= sample proportion who believe that there is extraterrestrial life.- Find a 95% confidence interval estimate of the proportion of all college students who believe that extraterrestrial life exists.
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Suggest a target population. Who, exactly, are the "students" in question? Suggest a choice of sampling method and comment on why you have made this choice.
In the 18th century, the Chevalier de Mere asked Blaise Pascal to compare the probabilities of two events. Below, you will compute the probability of the two events that, prior to contrary gambling experience, were thought by de Mere to be equally..
What percentage of the overall sample did not smoke and had not ever been divorced?- Determine a complete set of row percentages.
One might examine whether swimmers were impaired during the race or not. Phelps was blinded when his goggles filled with water.
Find an Internet source that reports on a study and describes the data. Print out the description and answer the questions above.
Suppose the population of IQ scores in the town or city where you live is bell-shaped, with a mean of 105 and a standard deviation of 15.
Following Example 4.21, let X and Y denote the arrival times of the first two calls at a telephone switch. The joint PDF of X and Y is
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