Consider the probability distribution shown below for the ra…

Consider the probability distribution shown below for the random variable X:                                                                                                     X             10           20           30           40           50           60      P (X)     0.05        0.20        0.30         0.25        0.10         0.10      Graph P (X).  Locate μ and μ ± 2 σ on the graph.  What is the probability that X will fall within this interval?

A human gene carries a certain disease from the mother to th…

A human gene carries a certain disease from the mother to the child with a probability rate of 60% (i.e., there is a 60% chance that a given child will have the disease).  Suppose a female carrier of the gene has 3 children. Assume that the infections of the 3 children are independent of one another.  What is the probability that all 3 children will get the disease from their mother?

Suppose we want to estimate the average height of all young…

Suppose we want to estimate the average height of all young growing maple trees found on a certain nursery.  We select a random sample of 25 trees and measure their heights.  The sample mean is 70 inches and the sample standard deviation is 10 inches.  Construct a 90% confidence interval for the population mean (μ).  Assume that any necessary assumptions have been met.

Health care issues are receiving a greal deal of attention i…

Health care issues are receiving a greal deal of attention in both the academic and political arenas.  A sociologist recently conducted a survey of senior citizens whose net worth is too high to quality for Medicaid, but who have no private health insurance.  The ages (in years) of 9 uninsured senior citizens were as follows: Senior Citizen Age 1 65 2 70 3 64 4 84 5 74 6 72 7 87 8 79 9 80 Find the range for the ages of these 9 senior citizens.

A local consumer reporter wants to compare the average costs…

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 dependent (response) variable for this experiment.

Health care issues are receiving a greal deal of attention i…

Health care issues are receiving a greal deal of attention in both the academic and political arenas.  A sociologist recently conducted a survey of senior citizens whose net worth is too high to quality for Medicaid, but who have no private health insurance.  The ages (in years) of 9 uninsured senior citizens were as follows: Senior Citizen Age 1 65 2 70 3 64 4 84 5 74 6 72 7 87 8 79 9 80 Find the median age of these 9 senior citizens.

You are interested in purchasing a really good bull to breed…

You are interested in purchasing a really good bull to breed your cows.  You look up the sale prices of a sample of 16 bulls that were sold in last year’s National Western Stock Show sale in Denver.  The average sale price was $10,000 with a standard deviation of $1,000.  Estimate the population mean for the sale prices of the bulls using a 95% confidence interval.