Blog

A scientist wants to estimate the true population proportion of mares that conceive when bred by AI.  She selects a random sample of 500 mares and finds that 300 of the 500 mares conceived when bred by AI.  The scientist knows that it is appropriate to construct a large-sample confidence interval for the true population proportion because

Major and gender of students enrolled at OSU are examples of ____________ data.

Outliers are typically due to which of the following causes

Suppose x has a binomial probability distribution with n = 200 and p = 0.60.  Use the normal approximation to the binomial to find P (X 

Assume X is a binomial random variable.  If n = 15 and p = 0.90, find P (r ≥ 10 successes).

We want to find out how much money the average fan spends at a professional football game.  That question was posed to 10 randomly selected football fans.  The sample mean and sample standard deviation were $52.00 and $17.50, respectively.  Use this information to create a 95% confidence interval for the population mean, µ.

The standard deviation of the sampling distribution of the sample mean is equal to σ, the standard deviation of the population.

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      Find the mean of this discrete probability distribution.

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 75 inches and the sample standard deviation is 8 inches.  Construct a 90% confidence interval for the population mean (μ).  Assume that any necessary assumptions have been met.

The weights (in pounds) of a sample of 6 dogs are as follows: Dog Weight 1 30 2 32 3 26 4 42 5 40 6 46 Find the variance of the weights of this sample of 6 dogs.