Probability values, population mean, standard deviation
a. Compute the probability of a value between 44.0 and 55.0.
b. Compute the probability of a value greater than 55.0.
c. Compute the probability of a value between 52.0 and 55.0.
a. What is the value of the population mean? What is the best estimate of this value?
b. Explain why we need to use the t distribution. What assumption do you need to make?
c. For a 95 percent confidence interval, what is the value of t?
d. Develop the 95 percent confidence interval for the population mean.
e. Would it be reasonable to conclude that the population mean is 21 eggs? What about 25 eggs?
a. Using the sample data, construct a 99 percent confidence interval for the population mean.
b. Does the 99 percent confidence interval include the value suggested by the NCAA? Interpret
c. Suppose you decided to switch from a 99 to a 95 percent confidence interval. Without performing
any calculations, will the interval increase, decrease, or stay the same? Which of the values in the formula will change?
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