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The manager of a paint supply store wants to determine whether the mean amount of paint conatined in 1- gallon cans purchased from a nationally known manufacturer is actually 1 gallon. You know from the manufacturer's specifications that the standard deviation of the amount of paint is 0.02 gallon. You select a random sample of 50 cans, and the mean amount of paint per 1- gallon can is 0.995 gallon.
a. Is there evidence that the population mean amount is different from 1.0 Gallon (use a=0.01)?
b. Compute the P-Value and interpret its meaning.
A manufacturer of microwaves gathers information on microwave sales from a random sample of 50 stores in a large retail chain. In the sample, the mean number of microwaves sold per store last week was 19, with standard deviation 2.
47% of students have children under 17 living at home with them. Find the probability that a random sample of 800 students will return more than 50% students with children under 17 living at home with them.
The following data shows the service ratings for eight ramdomly selected small ships, eight randomly selected large ships. All ships are rated on a 100-point scale, with higher valuse indicated better service (traveler Feb 2003)
Compute a 90% confidence interval for the population mean, based on the sample 25, 27, 23, 24, 25, 24, and 59. Change the number from 59 to 24 and recalculate the confidence interval.
Assuming that the first digit cannot be a zero, compute the number of possible outcomes when the digits can be repeated.
Compute the mean, standard deviation, median, and standard error for each group.
If the p value for a test for difference of educational level of two groups is p=0.0184, is the difference statistically significant at the 0.01 level?
What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)?
In a pilot study, five kids are given several problems of each type to practice (and then tested on three problems), in one of the three Sequences: D-R-T, T-D-R, OR R-T-D.
The data in the next table resulted from an experiment that used a completely random design. Test the null hypothesis that u1 = u2 = u3, where ui represents the true mean for treament i, against the alternative that at least two of the means differ..
The following time series data represent the yearly amounts spent on advertising (in millions of dollars) by a large toy company:
What is the value of the population mean? What is the best estimate of this value?
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