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WNAE, an AM station totally dedicated to deliver news, found that while the Distribution of listeners tune in the station follows the normal Distribution. Distribution of the average is 15.0 minutes and standard deviation is 3.5. What is the probability that a particular listener in tune to the station at:
a) more than 20 minutes?
b) for 20 minutes or less?
c) c) between 10 and 12 minutes?
Explain how many cars would required to go by the speed trap to be 99.8% sure which at least one driver will warm oncoming traffic of the speed trap.
A random sample of 400 observations produced a sample proportion of 0.32. What is the standard error to construct a 99.5% confidence interval.
A run chart is developed that confirms process stability. The level of significance is chosen to be 0.01. (a) Is there evidence to suggest that the process average differs from the target value?
Construct a 99% confidence interval for the average length of usage time to recharge.
Define the Linear programming problem (LPP)
Set up a hypothesis test to validate this claim. Using a significance level of .01 to test this hypothesis, what is your decision rule
Find the probability that he will answer all 10 questions correctly.
A fair coin is tossed four times and X is number of heads on first three tosses and Y on last three. What is the joint probability mass function of x and y? What is the marginal pmf? Are X and Y independent?
At the 5% significance level, can the researcher reject the hypothesis that the mean reading scores of all children in the three school systems is the same ? Formulate and test the appropriate hypotheses. Use the critical value approach.
If the standard deviation of the amount of coffee dispensed is 0.4oz and the amount of coffee dispensed is normally distributed.
The following frequency distribution reports electricity cost for sample of 50 two-bedroom apartments in Albuquerque, New Mexico during the month of May last year.
Draw a scatterplot indicating a strong negative relationship between the variables pf income and mental illness. Be sure to label the axes correctly.
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