We are interested in determining whether men’s and women’s attitudes concerning the environment are different.  Therefore, we sample 100 men and 100 women and ask:  “Do you think environmental issues are a major concern”?  Of those sampled, 67 women and 53 men responded that they believe environmental issues are a major concern. Construct a 96% confidence interval for the true difference in population proportions of men and women who believe that environmental issues are a major concern.

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 correct degrees of freedom for total, treatments, and error in the Analysis of Variance table for this problem are ____________.                                                                                    

A random sample of n = 200 observations is selected from a binomial population.  The sample estimate of the proportion of successes is 0.13.  Using a significance level of α = 0.10, we want to test: Ho:  p = 0.10 Ha:  p > 0.10 Assuming that we can use large-sample procedures, calculate the value of the test statistic needed to test these hypotheses.  Should we reject or not reject Ho:  p = 0.10?

A random sample of 4,000 U.S. citizens was asked their opinion concerning gun control.  A total of 2,600 of the 4,000 citizens in the sample stated that they are in favor of gun control legislation.  Perform the calculations needed to determine whether or not it would be appropriate to construct a large-sample confidence interval for the true population proportion (p).  What do you conclude (i.e., is it appropriate) and why?

A local consumer reporter wants to compare the average costs of grocery items purchased at three different supermarkets – Kroger, Giant Eagle, and Meier.  Prices (in dollars) were recorded for a sample of 60 randomly selected grocery items at each of the three supermarkets.  In order to reduce item-to-item variation, the prices were recorded for each item on the same day at each supermarket. Item                          Kroger    Giant Eagle    Meier     1) Big Thirst Towel      $1.21       $1.49          $1.59 2) Post Golden Crisp    2.78         2.99            3.35 3) Tylenol Tablets         5.98         5.29            5.98           .                              .              .                   .           .                              .              .                   . 59) Colgate Shave       0.94         1.10            1.19 60) Kidney Beans        0.45          0.56            0.38                                                                                   Identify the experimental design employed for this experiment.

The average weight of a kennel of dogs is 40 lb and the standard deviation of the weights is 5 lb.  Only 14% of the dogs are expected to weigh less than X lb.  Find the value of X.

A randomized block design is used to compare postweaning average daily gains of 4 breeds of beef cattle, Hereford, Angus, Charolais, and Simmental (we can think of the breeds at the “treatments”).  The breeds are divided into 3 weight classes (i.e., 3 blocks).  Block 1 contains cattle weighing 450 to 500 lb at the beginning of the experiment, block 2 contains cattle weighing 500 to 550 lb at the beginning of the experiment, and block 3 contains cattle weighing 550 to 600 lb at the beginning of the experiment.  The postweaning average daily gains (in pounds per day) are as follows:  Block Hereford Angus Charolais Simmental 1 3.50 3.60 3.70 3.75 2 3.55 3.63 3.71 3.80 3 3.56 3.62 3.80 3.90 The partially completed ANOVA table for this experiment is as follows: Source df SS MS F Total   .160     Breed   .139 .046 46 Block   .014 .007   Error   .007 .001   Calculate the F statistic for blocks.

Suppose that 10% of the Golden Retrievers in the U.S. have a particular genetic defect.  We randomly select 6 Golden Retrievers from the population consisting of all Golden Retrievers in the U.S.  What is the probability that at least one (i.e., one or more) of the 6 dogs in the sample will have the genetic defect?  To find the answer to this question, you may use either the binomial equation or you may use the attached binomial probability table.

Calculate the mean of the discrete probability distribution shown below:   X            2           4            5           10            P(X)       0.20       0.40       0.30       0.10  ____________________________________  

The mean of the starting salary data that we have been using is 28,475 dollars and the standard deviation is 9,369 dollars.  According to the Empirical Rule, we expect 99% of the starting salaries to fall between what two numbers?