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Assume that X is normally distributed with a mean of 6 and a standard deviation of 3. Determine the value for x that solves for each of the following. (a) P(X>x) = 0.95 (b) P(x<X<9) = 0.2 (c) P(3<X<x) = 0.8 The tensile strength of paper is modeled by a normal distribution with a mean of 35 pounds per square inch and a standard deviation of 2 pounds per square inch. (a) What is the probability that the strength of a sample is less than 39 lb/in^2 (b) If the specifications require the tensile strength to exceed 29 lb/in^2 , what proportion of the sample is scrapped? Suppose that X represents time measurements from a gamma distribution with a mean of 4 minutes and a variance of 2 minutes^2. (a) Find the parameters λ and r.
Will a 5% across-the-board raise increase the spread of the distribution as measured by the distance between the quartiles? Do you think it will increase the standard deviation?
Explain what an outlier is. Then, if there are any outliers in the Project 1 Data Set, what are they? If there are no outliers, say no outliers.
If you use a 0.10 level of significance in a two-tail hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean is 500 if you use the Z test?
Suppose that a group of 48 students who took the SAT was chosen. If you wanted to calculate a probability for the average SAT score for these 48 students, what is the standard error.
A survey of n = 703 randomly selected workers showed that 61% of those respondents found their jobs through networking.
Is it sensible to conclude that this set of n=16 people is not representative random sample of registered voters?
In the study of 15 taxi drivers, average experience was 11.2 years. Standard deviation was 2. At α = .10, is number of years' experience of taxi drivers really less than taxi company claimed?
Assume we have set of blood pressure with a mean of 80 Diastolic, and a sample standard deviation of 10 points. If we assume a normal distribution of Diastolic blood pressures,
Of the estimated natural gas reserves in North America, 4.59 *10^9 m ^3 are in United States. 2.66*10^9 m^3 are in Canada, and 1.99*10^9 m^3 are in Mexico.
Final step to be performed when testing hypothesis of population mean is to?
You are asked to test the CFO's claim by examining monthly profits from the sample mega stores using the Z-test. State the decision rule using α = 0.05 significance level?
Find an unbiased estimator of mp(1 - p)/n. Find the optimal estimator using the Rao-Blackwell Theorem.
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