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1. The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0 As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At alphaαequals=0.05 can you reject the dean's claim? Complete parts(b) through(d) below. Assume the population is normally distribute
10.5 8.2 11.9 6.9 7.2 11.4 14.9 9.7
b) Use technology to find the P-value (show how to find the P-value)
c) decide whether to reject or fail the null hypothesis
d) interpret the decision in the context of the original claim.
2. One study, based on responses from 1,024 randomly selected teenagers, concluded that 44% of teenagers cite grades as their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than half of all teenagers in the population feel that grades are their greatest source of pressure.
Find the test statistics
Baseball player Mark McGwire broke a record when he hit 70 home runs in the 1998 season. During that season, he was at bat 509 times. If one of those "at bats" is randomly selected, find the probability that it is one of the times he did not hit a..
a researcher uses analysis of variance to test for mean differences among four treatments with a sample of n 8 in each
dental supplies ships a customer 60 boxes of a 30 boxes of b 60 boxes of c and 30 boxes of d. unit shipping costs for
Suppose it is known that a new treatment is successful in curing muscular pain in 75% of the cases. If it is tried on 9 patients, find the probability that fewer than 7 patients are cured.
Scrap rates per thousand (parts whose defects cannot be reworked) are compared for 5 randomly selected days at three plants. Does the data prove a significant difference in mean scrap rates?
If a simple random sample of 75 MBA graduates is to be taken. What is the probability that the sample mean salary will exceed $82,500?
If appropriate, use the Marascuilo procedure and α = .01 to determine which, if any, year groups are significantly different in the proportion of passengers who book tickets online.
Let X be a random variable representing the time between successive arrivals at a checkout counter in a supermarket. The values of X in minutes (rounded to the nearest minute) are
1.the scores of individual students on the american college testing act program composite college entrance examination
In a normal population with sigma=20, a random sample of size n gave X(mean)=56.53. At the 5% significance level, make a two-tailed test of the null hypothesis mu=50, when (a) n=24 (b) n=36
Assume that the following are data from cluster sampling with simple random sampling of clusters. There are 10 clusters (primary units) and a total of 100 secondary units in the population.
The weight of a .5 cubic yard bag of landscape mulch in uniformly distributed over the interval from 38.5 to 41.5 pounds. Give a mathematical expression for the probability density function.
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