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Measurements of the diameter of a random sample of 100 ball bearings made by a certain machine during one week showed a mean of 0.944 inch and a standard deviation of 0.052 inch.
a) Find a 90% Confidence interval for the mean diameter of all the ball bearings
b) Find a 95% confidence interval for the mean diameter of all the ball bearings
Use the Chi-square test of independence with a .01 level of significance to determine whether appeal is independent from type.
The lengths of pins produced by a machine follow a normal distribution with mean 2.54 cm and standard derivation 0.04 cm.
Recognizing that the hike to the campsite is a long one, a limit of 35 pounds has been set as the maximum total weight of the items to be carried. Formulate this as a LP problem to maximize the total utility of items carried.
Is this sample sufficient to conclude that the children with a history of preschool day care are significantly different from the general population? Use a two-tailed test with α=.01.
Critically the difference between Paramaeter and Statistics and Critically discuss the concept of operationalize? What are focus groups
That will reveal the interval estimate for the proportion of people who like cats within a target population of 60,000 people. How would you interpret the results?
With each hypothesis, indicate whether the appropriate analysis would be a one-tailed test or a two-tailed test and indicate a type I and type II error, given the context of the hypothesis.
On basis of these data, can college conclude that students in new program performed significantly better than rest of freshman class? Use a one-tailed test with α = .05.
In performing a hypothesis test based on a simple random paired sample to compare the means of two populations, knowing that the paired difference variable has a symmetric distribution that is far from normal
Is it reasonable to conclude the mean income of those selecting Plan B is larger? What is the p-value? Do the coefficients of skewness affect the results of the hypothesis test? Why?
Your objective is to maximize the expected utility of your final fortune (after 4 bets). If you are a log-utility investor, determine the optimal policy and find the maximal expected utility.
Give a real world example of a situation where normal parametric tests would not be useful and where there is a need for nonparametric test methods. Be specific and explain why nonparametric tests are needed in that case.
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