Members of a bowling league play thousands of combined games over the course of a season. Suppose that the scores of individual games have a known standard deviation of o = 30 pins. Isla plans on taking a
random sample of n games from this population to make a 95% confidence interval for the mean score.
She wants the margin of error to be no more than 10 pins.
Which of these is the smallest approximate sample size required to obtain the desired margin of error?

Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =