The distribution of the number of occurrences of the letter "a" on the pages of a book is found to be a normal distribution with a mean of 60 and a standard deviation of 15. if there are 600 pages in the book, what percentage of the time is "a" found 45 times or more on a page? a. 68% of the time b. 50% of the time c. 84% of the time d. 34% of the time

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) =