Assume that the mean score on an IQ test is a 100 and that the standard deviation of the scores is 15.  The highest IQ score among the people taking the test was a 160.  Calculate the z-score for the person with the highest score of 160.  Based on the z-score, is this score of 160 an outlier?  Why or why not?

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 and is more than 30 years old would be represented by which one of the following?

The mean score on an IQ test is a 100 and the standard deviation of the scores is 15.  If the distribution of IQ scores is symmetric and mound-shaped, what percentage of the scores would be expected to fall between 70 and 130?

In seeking a free agent NFL running back, a general manager is looking for a player with a high mean for yards gained per carry and a small standard deviation.  Suppose the GM wishes to compare the mean yards gained per carry for two free agents based on independent random samples of their yards gained per carry.  Data from last year’s pro football season indicate that σ1 and σ2 are both equal to approximately 5 yards.  If the GM wants to estimate the difference in means for yards gained per carry by the two running backs correct to within 1 yard with a confidence level of 0.90, how many carries would have to be observed for each of the two players?  Assume equal sample sizes.

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                                                                                   The results of the Analysis of Variance for this experiment are as follows: Source           df       SS            MS          F     Total                       222.21     Supermarket              2.64       1.32       39.23 Item                        215.59       3.65     108.54 Error                           3.97      0.0337                                                                                Using a significance level of α = 0.05 from Table IX in the back of our textbook, the critical value of F is approximately 3.07.  What is the proper conclusion from this experiment?

An experiment results in four possible outcomes with the following probabilities:  P(A) = 0.10, P(B) = 0.15, P(C) = 0.20, and P(D) = 0.55.  Assume that these four events are mutually exclusive.  What is the probability that event B, C, or D occurs?

If we roll a single die, the sample points are 1, 2, 3, 4, 5, or 6.  Consider the following two events:      Event A:  toss an even number on the die      Event B:  toss a number less than or equal to 3 on the die List the sample points that would be included in the intersection of events A and B (i.e., A ∩ B).

Suppose that a random sample of 625 measurements is selected from a population with a mean µ = 500 lb and a variance σ2 = 100 lb2.  What is the mean and standard deviation of the sampling distribution of the sample mean?

Two fair coins are tossed and the events A and B are defined as follows: A: {At least one head appears} B: {Exactly one head appears} Find P (A)

Breeders of the Longhorn breed of cattle select to increase the length of the horns (i.e., the distance from the tip of one horn to the tip of the other horn).  A Longhorn breeder would like to know the average length of horns found on Longhorn cattle in Texas.  A random sample of 144 Longhorn cattle yields a mean horn length of 70 inches and a standard deviation of 10 inches. Estimate the population mean for length of horns of Longhorn cattle in Texas using a 90% confidence interval.