The population of a small town in Kansas between the years 2000 and 2050 is modeled by the function P(t), where P(t) is the total population, in
thousands, at a given time and t is the number of years since the year
2000. Based on this model, by the beginning of which year will the
population exceed 50 thousand?
P(t) = 12.4(1.07)

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) =