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1. Before the hiring of an efficiency expert, the mean productivity of a firm's employees was 45.4 units per hour, with a standard deviation of 4.5 units per hour. After incorporating the changes recommended by the expert, it was found that a sample of 30 workers produced a mean of 47.5 units per hour. Using the 0.01 level of significance, can we conclude that the mean productivity has increased?
2. The average U.S. family includes 3.13 persons. To determine whether families in her city tend to be rep- resentative in size compared to those across the United States, a city council member selects a simple random sample of 40 families. She finds the average number of persons in a family to be 3.40, with a standard deviation of 1.10. Source: Bureau of the Census, Statistical Abstract of the United States 2009, p. 52.
a. Using a nondirectional hypothesis test and a level of significance of your choice, what conclusion would be reached?
b. For the significance level used in part (a), construct the appropriate confidence interval and verify the conclusion reached in part (a).
Write down some features of the Normal distribution p.d.f. Curve. (c) 6. What are the parameters of the Normal distribution?
Using the 0.05 level of significance, evaluate the effectiveness of the program. Using the appropriate statistical table, what is the most accurate statement we can make about the p-value for this test?
a. what model might you use to model the number of faulty cell phones produced in one day?
You calculate that their mean monthly rent is $613 and their standard deviation is $96. What are the degrees of freedom for a one-sample -statistic?
Internet is 13.4 hours per week, with the sample standard deviation of 6.8 hours. Determine the 95 percent confidence interval for mean time Wired subscribers spend on Internet.
a book was published entitled one million random digits. in it there are listed one million 1000000 digits each of
The times are shown here. At the 0.05 level, do the seat designs differ significantly in terms of the time that patrons stay? Using the appropriate statistical table, what is the most accurate statement we can make about the p-value for the test..
Find all solutions to the ODE yy'= (1-y^2) sin x. (When dividing by 1-y^2, be careful that you don't lose any solutions).
The following data represent systolic blood pressure readings on 10 randomly selected females between ages 40 and 82.
rolling a fair eight sided dice produces a uniformly distributed set of numbers between 1and 8 with a mean of 4.5 and a
In Eurelia there are three categories of bicycle license, with different fees for each. The table below is based on a random sample of 122 Eurelian bicycle-license holders.
some plastic rods are automatically cut into lengths of 6 in. actual lengths are normally distributed about a mean of 6
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