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Testing equality of two means.
An independent testing agency has been contracted to determine whether there is any difference in gasoline mileage output of two different gasolines used in the same model automobile. The first gasoline was tested on 200 cars and produced a sample average of 18.5 miles per gallon with a standard deviation of 4.6 miles per gallon. The second was tested on a sample of 100 cars and produced a sample average of 19.34 miles per gallon with a standard deviation of 5.2 miles per gallon. At the .05 level of significance, is there evidence of a difference in performance of the two gasolines?
At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations.
Following is based on information from Statistical abstract of the United States, Dec, 1992. Are A and B mutually exclusive?
Suppose you bid $12000. What is the probability that your bid will be accepted?
Find out coefficient of correlation between variables. Interpret the value.
We wish to create this mean value interval for selling price with 95% confidence level. Find out the best point estimate (average) for selling price. Critical t-value(s) associated with 95% confidence level.
A journal polled its readers to determine the proportion of wives who, if given a second chance, would marry their husband again.
What sample size must you take to be 96% confident that the results will be within $.75 of the true mean cost per call?
a. What is the probability of a type I error? b. Give the formula for the test statistic.
Then test to see whether it considerably varies from 0 [use alpha = 5%]. Don't forget to identify the null and alternative hypotheses.
Bill Russ, the production manager at Ross Co., maintains detailed records on number of times each machine breaks down and requires service all through the week. Bill records show that the Puret grinder has required repair service according to the ..
Test this conjecture with formal hypothesis test, by using a 5% significance level. Find out the p-value for hypothesis test.
Construct the 95 percent confidence interval for the difference between the two population means.
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