Independent random samples of litter sizes were selected from the Yorkshire and Landrace breeds of swine, with the following results: Yorkshire Landrace 8 7 9 8 10 9 8 8 9 7 10   We want to analyze these data using Analysis of Variance with a Completely Randomized Design. Calculate the Error Sums of Squares.

Find the probability of an observation lying more than z = 0.58 standard deviations below the mean.

A bottling company needs to produce bottles that will hold 12 ounces of liquid for a local beer maker.  Periodically, the company receives complaints that their bottles are not holding enough liquid.  To test this claim, the bottling company randomly samples 15 bottles and finds the average amount of liquid held by the 15 bottles is 11.90 ounces and the standard deviation is 0.20 ounces. Calculate the appropriate test statistic to test the null hypothesis.

In the 1970’s it was generally assumed that the mean birth weight of Angus beef cattle was 75 lb.  A researcher believes that, due to selection for increased size and growth rate in Angus, the average birth weight is now greater than 75 lb.  He obtains a random sample of n = 144 birth weights of Angus calves and calculates a sample mean of 85 lb and a sample standard deviation of 10 lb. State the null and alternative hypothesis that the researcher wants to test.

The following table shows litter sizes for sows in four breeds of pigs. Yorkshire     Landrace     Hampshire     Duroc      8                   9                   8                 7     10                  9                   7                 8     11                10                   8                 9     11                10                   9                 7       9                  8                                                 49                46                 32               31 – treatment totals     9.8               9.2               8.0              7.5 – sample means     The sums of squares for treatments (i.e., breeds) in the Analysis of Variance table for this problem is equal to ____________.                                                                                    

A large labor union wishes to estimate the mean number of hours per month that union members are absent from work.  The union samples 475 of its members at random and monitors their working time for 1 month.  At the end of the month, the total number of hours absent from work is recorded for each employee.  The mean and standard deviation of the sample are 9.6 hours and 3.6 hours, respectively.  Find the 95% confidence interval that can be used to estimate the mean (μ) of the entire population of number of hours absent from work per month.

A numerical descriptive measure of a population is called a ______________.

In the lectures we worked an example that involved constructing a 95% confidence interval for the mean of the population of starting salaries of students who graduated from a particular university.  The 95% confidence interval that we derived was ($25,964,  $29,636).  Which one of the following interpretations is correct?

Assume the mean length of time required to complete the Columbus Marathon was 4.5 hours and the standard deviation of the times was 0.70 hours.  Assume that the racing times were approximately normally distrubuted.  Only 10% of the runners would be expected to complete the race in less than x hours.  Find the value of x.

A state energy agency mailed questionnaires on energy conservation to 1,000 homeowners in Columbus.  Suppose an experiment consists of randomly selecting one of the returned questionnaires.  Consider the events:    Event A:  the home is constructed of brick    Event B:  the home is more than 30 years old    Event C:  the home is heated with oil A home that is constructed of brick or is heated with oil would be represented by which one of the following?