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A random sample of 51 observations was selected from a normally distributed population. The sample mean was = 88.6, and the sample variance was s2 = 38.2. Does the sample show sufficient reason to conclude that the population standard deviation is not equal to 8 at the 0.05 level of significance? Use the p-value method.
A researcher wishes to compare two different groups of students with respect to their mean time to complete a particular task. The time required is determined for each group. The data summary is given below. Test the claim at = 0.05, that there is no variance. Give the critical region, test statistic value, and conclusion for the F test.
n1=100, s1=20
n2=120, s2=34
The number of sit-ups that a person can do in one minute, both before and after a physical fitness course was recorded. The data is shown below for 10 randomly selected participants. Is there sufficient evidence to conclude that a significant amount of improvement took place? Assume variable is normally distributed.
Before 30 23 25 29 27 25 30 45 34 26
After 31 27 25 35 34 35 32 52 50 43
A new restaurant with 123 seats is being planned. Studies show that 57% of the customers demand a smoke free area. How many seats sould be in the non-smoking area in order to be very sure (mean+3StandardDeviation) of having enough seating there?
Determine change in average number of weekly viewers from to?
The letters of the word PRESERVE are arranged at random. Then what is the probability that all the 3 E's occur together??
Discuss the fields in which Poisson distribution is applied. Why does it matter whether a population of arrivals is limited or unlimited?
What is the probability of finding exactly four watch soap operas?
The trial failed to show significance. How many subjects would be required to detect the difference in proportions observed in the trial with 80% power?
A discussion of extreme weather reports that: "In most states, hurricanes occur infrequently. Yet, when a hurricane hits, the losses can be catastrophic.
Suppose you are given a grant to run a controlled experiment. Explain how you would structure the experiment in order to estimate the casual effect of hours on sat.
A textile manufacturer estimates that it produces bolts of cloth with flaws following a Poisson distribution that has an average of one flaw per 200 feet of cloth.
The manager requires the estimate to be within 1.0 minutes of the population value. What sample size is needed?
Are the following statements a valid pair of null and alternative hypothesis?
Frequent checks of unfilled orders at end of day reveal that distribution of unfilled orders follows Poisson distribution with mean of two orders. Sketch the histogram representing Poisson probability distribution of unfilled orders.
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