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When designing a movie theater with stadium seating, engineers decide to consider the sitting eye heights of women. Those heights have a mean of 739 mm and a standard deviation of 33 mm and they are normally distributed.
a. For a randomly selected woman, find the probability that her sitting eye height is less than 700 mm. The probability that a woman's sitting eye height is less than 700mm is .1190
b. For 50 randomly selected women, what is the probability that their mean sitting height is less than 730mm?
c. When designing movie theatres with stadium seating, which result is more relevant: the probability from part (a) or part (b)?
d. Find P90, the eye height separating the bottom 90% from the top 10%.
Compute the appropriate test statistic to test Ho: p = 80/100 vs. Ha: p > 80/100.
Conduct a hypothesis test using the .04 level of significance to determine if there is a difference between the population means.
A bank has the following data on the gender and marital status of 200 customers.What is the probability of finding a single female customer? Is marital status independent of gender? Explain using probabilities.
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A product is made up of two subsystems in parallel. Subsystem one consists of ten elements in series each with a failure rate of 1/100. The second subsystem consists of 5 elements in series each with a failure rate of 1/200. What is the overall re..
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Over a 20 year period, the average grade point average of applicants to our graduate program has been found to be 3.27. This year the mean grade point average of the 57 students applying to our graduate program is 3.53
We suggest that you use the graphical approach to CVP analysis to solve the following problem, but you may use any other method to find the answer.
Suppose the population standard deviation is unknown. If 71% of all sample means are greater than 49 hours and the population mean is still 50.4 hours, what is the value of the population standard deviation?
The Web-based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day
Create the indicated confidence interval for population mean µ using a t- distribution.
Write a sentence showing how the outcome of the hypothesis test and the measure of effect size would appear in a research report.
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