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a) Average total daily sales at a small food store are known to be $451.75. The store manager recently made some changes in displays of goods, order within aisles, and other changes, and she now wants to know whether average sales volume has increased. A random sample of 14 days shows Xbar = $502.95 and s = $64.00. You can assume normality. Using alpha = 4%, is the sampling result significant? Explain.
(b) A simple random sample of 350 households from a large community was selected to estimate the mean residential electricity usage per household during January of last year. Another simple random sample of 420 households was selected, independently of the first, to estimate mean residential electricity usage during January of this year. The sample results (expressed in kilowatt hours) were:
Last Year Sample size 350 Sample mean 1272 kwh Sample sd 259 kwh
This Year Sample size 420 Sample mean 1335 kwh sample sd 265 kwh
You feel that the mean usage of electricity has increased for January of this year compared to January of last year. Carry out the appropriate hypothesis test at 5%.
How much time should the employer allow employees to finish the job? (Round up to the nearest minute).
Triathalon Times Jeff Parent is a statistics instructor who participates in triathalons. Listed below are times (in minutes and seconds) he recorded as riding a bicycle for five laps through each mile of a 3-mile loop.
A restaurant claims that its speed of service time is less than 18 minutes. A random selection of 36 service times was collected, and their mean was calculated to be 17.1 minutes.
The following frequency distribution reports electricity cost for sample of 50 two-bedroom apartments in Albuquerque, New Mexico during the month of May last year.
What is the p-value associated with the sample results? What is your conclusion based on the p- value?
The sums of squares were computed as SSW = 4773.3 and SSA = 591.2. Use the F test of ANOVA (assume α = 0.05) to decide whether or not there are any differences in true average lumen outputs between the three brands for this type of light bulb.
Black Hole Pizza Parlor instructs its cooks to put a "handful" of cheese on each large pizza. A random sample of six such handfuls were weighed.
Calculate the test statistic (z-score) for the sample. What deccision should be made about the null hypothesis, and what decision should be made about the effect of the program.
Using the original data, test at the 5% significance level that the population standard deviation of studying times is greater than 4 hours.
Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children.
A research report summarizes the results of the hypothesis test by stating,"z = 2.13, p
Let X be a normal distributed random Variable with u=100 and o=10. the probability that X is between 70 and 100 is:
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