Lisa and her 2-year-old daughter, courtney, lived with lisa’s mother all year. lisa is 25 years old and unmarried. her mother's agi is $18,000. courtney's father did not live with lisa or her daughter and she has not signed form 8832 (or a similar statement) to release the child's exemption to the noncustodial parent. if lisa does not claim courtney as a qualifying child, her mother can treat her as a qualifying child to claim certain tax benefits unless lisa has an adjusted gross income (agi) of what amount?

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) =