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The population of IQ scores forms a normal distribution with a mean of µ = 100 and a standard deviation of o = 15. What is the probability of obtaining a sample mean greater than M = 105.
a- For a random sample of n = 9 people
b- For a random sample of n = 36 people
Assume that the following four examines were tested as part of a large group that had a normally curved distribution.
If np ≥ 5 and nq ≥ 5, estimate P (more than 5) with n=14 and p=0.3 by using the normal distribution as an approximation to the binomial distribution; if np
What is the probability that more than one machine is in the system? Probability that more than two are broken and waiting to be repaired or being serviced? More than three? More than four?
Test the claim that for the adult population of one town, the mean annual salary is given by μ = $30,000.
The average stock price for companies making up the S&P 500 is $40, and the standard deviation is $10. Assume the stock prices are normally distributed. What is the probability a company will have a stock price less than $33.
In a nationwide study directed by UMUC Teaching Hospital, 780 persons with stable heart disease were treated. Half of the subjects were treated with drugs and half underwent bypass surgery.
Calculate the coefficient of skewness and coefficient of variation of minutes spent commuting. What do these statistics tell us?
Estimated the probability that among 75 randomly selected students, at least 20 of them score greater than 78.
A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50.
The margin of error for a 95% confidence interval estimate for the proportion of all students with cell phones is
A manufacturer produces and sells chilled, ready-to-eat pasta salad in round lots of 50 serving units each. These items have a very limited shelf life; therefore, if items are made but not sold, they have no value.
test the hypothesis that the intake of linoleic acid in this group is lower than that of the general population. Also, compute a p-value for the hypothesis test.
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