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Q1) Use following chart for questions
HEIGHTS (in inches)
FREQUENCY
50 - 52
19
53 - 55
23
56 - 58
38
59 - 61
47
62 - 64
33
Determine the following:
i) Mean
ii) Median
iii) Mode
iv) Range
v) Variance
vi) Standard deviation
The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of eight syringes taken from the batch. Assume the batch contains 1% defective syringes.
Select a random variable to represent the category. Produce a probability mass function for that variable, and use it to compute the mean, the median and the variance of the data in the data set. Show the probability mass function, both in tabular..
A bank official reported the results of a regression analysis designed to predict the bank's charges (y), measured in dollars per month, for services rendered to local companies.
Let Y be the number of envelopes for which the machine fails to remove a check. Using the Central Limit Theorem to approximate P{Y≤10}.
A concessionaire for the local ballpark has made a table of conditional values for the different alternatives also states of nature
Determine the probability distribution associated with these data.
What is the probability that the sample mean will be greater than M = 510. In symbols, what is p (M>510)?
Does this result support original claim, or is population percentage considerably less than 45%. Use alpha=.05 for level of significance.
The world record time (in minutes) in the marathon is plotted versus the year in which the record was set for men and women separately. The plotting symbol o is used for men and x for women. The data include only records set between 1908 and 1988.
The data below shows the time to process an inpatient admission, before and after a system usage training session was given. The following hypotheses were formulated for this study.
Obtain a test statistic and p -value assuming equal variances. Interpret these results.
Researcher is interested in testing whether there are differences in mean between population one and population two.
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