A local high school basketball team had 18 home games this season and averaged 58 points per game. If we assume that the number of points made in home games is normally distributed, which of the following is most likely the range of points for a confidence interval of 90 percent()
A. 26 to 80.
B. 24 to 78.
C. 34 to 82.
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Which one of the following best characterizes the alternative hypothesis The alternative hypothesis is usually the:()
A. hypothesis that is proved through statistical testing.
B. hoped -for outcome.
C. hypothesis to be proved through statistical testing.
An analyst conducts a two - tailed test to determine whether differences between the means of two populations exist: H0: μ1-μ2=0 versus H2: μ1-μ2≠0. Assume that the populations are independent, normally distributed, and have unequal and unknown variances. The critical value with 50 degrees of freedom is 2.126. The computed test statistic is t=1.753. Using a significance level of x=0.05, which of the following statements is TRUE()
A. Use a t- test to reject the null hypothesis and accept the alternative hypothesis.
B. Use a t -test to accept the null hypothesis and reject the alternative hypothesis.
C. Use a z- test to reject the null hypothesis and accept the alternative hypothesis.
The owner of a bowling alley determined that the average weight for a bowling ball is 12 pounds with a standard deviation of 1.5 pounds. A ball denoted "heavy" should be one of the top 2 percent based on weight. Assuming the weights of bowling balls are normally distributed, at what weight (in pounds) should the "heavy" designation be used()
A. 15.08 pounds.
B. 14.00 pounds.
C. 14.22 pounds.
John Cupp, CFA, has several hundred clients. The values of the portfolios Cupp manages are approximately normally distributed with a mean of $ 800000 and a standard deviation of $ 250000. The probability of a randomly selected portfolio being in excess of $1000000 is :()
A. 0.3773.
B. 0.6227.
C. 0.2119.