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Question: The Glen Valley Steel Company manufactures steel bars. If the production process is workingproperly, it turns out steel bars that are normally distributedwith mean length of at least 2.8 feet. Longer steel barscan be used or altered, but shorter bars must be scrapped.You select a sample of 25 bars, and the mean length is 2.73feet and the sample standard deviation is 0.20 foot. Do youneed to adjust the production equipment?
a. If you test the null hypothesis at the 0.05 level of significance, what decision do you make using the critical value approach to hypothesis testing?
b. If you test the null hypothesis at the 0.05 level of significance, what decision do you make using the p-value approach to hypothesis testing?
c. Interpret the meaning of the p-value in this problem.
d. Compare your conclusions in (a) and (b).
Given a sequence of independent flips of such a coin, derive a simple expression for the probability that the next flip will be a head.
The F test is used in Analysis of Variance (ANOVA). When would a researcher use an ANOVA? Explain (one paragraph in length).
As a result of an increase in demand for a town's parking facilities, the owners of a car park are reviewing their business operations. A decision has to be made to choose one of the following options:
The article can be on Descriptive Statistics, Probability and the Normal Distribution, Sampling and Sampling Distributions, Regression Analysis, or Time Series Forecasting.
A random sample of 160 car crashes are selected and categorized by age. The are listed below. The age distribution of for the given categories is 18% for under 26, 39% for 26-45, 31% for 46-65, and 12% for over 65.
Before 1918, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male?
Compute Cronbach's alpha on the scale provided on pp. 710-711 of the Field text using the SAQ.sav file.
The selection is to be random, and at the school there are 8 tenured faculty members in accounting. What is the probability that the committee will contain?
What is the correlation, and why is it so high? Since all of the guessed weights were higher than the actual weights, does that influence the correlation at all?
Find the marginal distribution of vehicle type in New York and find the conditional distribution of vehicle type given that the transmission is automatic.
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year: Use the Empirical Rule to establish an interval which includes about 95 percent of the observations.
Also, what information do you need to get from the problem to put into Minitab to run a binomial calculation?
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