Glenys, karen, nicola, philippa and shirley enjoy healthy snacks on their daily tea break. there are 5 different pieces of fruit left in the common room fruit bowl: an apple, a banana, a nectarine, an orange and a plum. they agree to have one piece each. glenys likes only apples and bananas; philippa likes only apples and plums; nicola and shirley both like nectarines, oranges and plums; and karen likes only bananas and oranges. list all the possible ways that they can each have one piece of fruit that they like

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) =