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Q1) Sample standard deviation from 15 measurements was 0.0083 grams.
a) Does measurement standard deviation vary from 0.01 grams at (alpha)=o.o5? Determine the P value for this test.
b) Explain how part a could be replied by building confidence interval for standard deviation.
Q2) Assume you randomly select sample of 50 observations from normal distribution. You then use those observations to evaluate the mean of population. Evaluate probability that you would be wrong in concluding that population mean is not equal to 160 given that sample standard deviation was found to be 2.1. (Hint: this is equivalent to saying, "determine the probability that we would reject null hypothesis given that it is true?")
Suppose you found that in doing the hypothesis test, you were able to reject the null hypothesis. What is the most appropriate conclusion to draw?
For each problem, compute a Welch F-statistic and determine whether or not significant differences exist among the treatment conditions.
A normal distribution with a mean of 55 and a standard deviation of 6 is evaluated to solve a business problem.
Using the following data on 15 workers, construct an exact 95% confidence interval for µ.
At.02 significance level is it sensible to conclude that mean number of shoes sold at mall stores is larger than at outlet stores?
Solve different inventory control problems using an appropriate OR method.
At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?
What are the possible combinations of coins that Sanjay could have received in change?
According to a recent survey, 275 of 400 middle-aged Americans said they used the Internet regularly. 140 of 400 senior citizens said they used the Internet regularly.
Let p represent the proportion of registered voters in the state that would vote for the Republican candidate. The standard error for the proportion of those who phoned in who answered "yes" is
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 following frequency distribution was obtained. The data values are in hours. Construct a histogram for the data .
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