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Problem 1: Statistics students believe that the mean score on the first statistics test is 65. A statistics instructor thinks the mean score is higher than 65. He samples ten statistics students and obtains the scores 65; 65; 70; 67; 66; 63; 63; 68; 72; 71. He performs a hypothesis test using a 5% level of significance. The data are from a normal distribution.
Problem 2: Joon believes that 50% of first-time brides in the United States are younger than their grooms. She performs a hypothesis test to determine if the percentage is the same or different from 50%. Joon samples 100 first-time brides and 53 reply that they are younger than their grooms. For the hypothesis test, she uses a 1% level of significance.
Problem 3: Suppose a consumer group suspects that the proportion of households that have three cell phones is 30%. A cell phone company has reason to believe that the proportion is 30%. Before they start a big advertising campaign, they conduct a hypothesis test. Their marketing people survey 150 households with the result that 43 of the households have three cell phones.
the umuc daily news reported that the color distribution for plain mampms was 35 brown 20 yellow 20 orange 15 green and
A recent article in Vitality magazine reported that the mean amount of leisure time per week for American men is 40.0 hours. You believe this figure is too large and decide to conduct your own test.
You are the incoming inspector for potato chips - you are to ensure that each bag has 16 ounces or more in it. You want your testing to be at the level of significance of 0.05.
the liquid chlorine added to swimming pools to combat algae has a relatively short shelf life before it loses its
Site preparation for new housing developments for tracts of 40 houses is normally distributed with a mean of 250 workdays and a standard deviation of 25 workdays.
an oil exploration firm is formed with enough capital to finance ten explorations. the probability of a particular
Does your client have a liability that should be recorded at December 31? Discuss. For what possible reason(s) might your client wish to postpone recording the transaction?
Given a normal distribution with a population mean of 100, a standard deviation of 10 and a sample size of n = 25, what is the probability that X is
You are given the sample mean and the sample standard deviation. use this information to construct the 90% and 95% confidence intervals for the population mean. Which interval is wider?
Graph one shows a number of observations that are very spread out but generally trending from the top left of the graph to the bottom right.
What is the half-width (from the middle of the confidence interval to either of the confidence limits) of the 99% confidence interval for the population mean time spent on investment research by portfolio managers?
a random sample of 100 doctors was selected. Suppose you reject the null hypothesis. What conclusion can you draw?
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