In your STOR 155 class, the professor returns Midterm 2 and claims that the average score was 83 out of 100 with a standard devlation of 7 points. When the professor steps out of the room, you quickly select a simple random sample of students (all students are present that day) and note their scores: 68, 75, 88, 86, 77, 79, 65, 77, 85, 71 a) You strongly suspect that the professor is overstating the average so that students will blame themselves If they have a low Midterm score. State the null and alternative hypotheses for the appropriate test of significance at a=0.05. Ο H, : μ 83, Η,: μ < 83 O Ho: H = 83; H,: u # 83 Ο H9 μ 83; H,, μ>83 O Ho: H > 83; H,:H = 83 Ο H , μ< 83; H,, μ- 83 b) Find the z-statistic and P-value for these data. Give z to two decimal places and P to four decimal places. and P = c) What is the appropriate decision based on P? Select all that apply. O we should reject the null hypothesis in favor of the alternative. O we should fail to reject the null hypothesis in favor of the alternative hypothesis. O we can say with certainty that the null hypothesis is not true.

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In your STOR 155 class, the professor returns Midterm 2 and claims that the average score was 83 out of 100 with a standard deviation of 7 points. When the professor steps out of the
room, you quickly select a simple random sample of students (all students are present that day) and note their scores:
68, 75, 88, 86, 77, 79, 65, 77, 85, 71
a) You strongly suspect that the professor is overstating the average so that students will blame themselves if they have a low Midterm score. State the null and alternative
hypotheses for the appropriate test of significance at a=0.05.
Ο H: μ 83; Η: μ < 83
O Ho: u = 83; H,: µ ± 83
HoiH = 83; H,: µ > 83
O Ho: µ > 83; H3: µ = 83
O Ho: µ < 83; H: µ = 83
b) Find the z-statistic and P-value for these data. Give z to two decimal places and P to four decimal places.
Z =
and P =
c) What is the appropriate decision based on P? Select all that apply.
We should reject the null hypothesis in favor of the alternative.
We should fail to reject the null hypothesis in favor of the alternative hypothesis.
We can say with certainty that the null hypothesis is not true.
Transcribed Image Text:In your STOR 155 class, the professor returns Midterm 2 and claims that the average score was 83 out of 100 with a standard deviation of 7 points. When the professor steps out of the room, you quickly select a simple random sample of students (all students are present that day) and note their scores: 68, 75, 88, 86, 77, 79, 65, 77, 85, 71 a) You strongly suspect that the professor is overstating the average so that students will blame themselves if they have a low Midterm score. State the null and alternative hypotheses for the appropriate test of significance at a=0.05. Ο H: μ 83; Η: μ < 83 O Ho: u = 83; H,: µ ± 83 HoiH = 83; H,: µ > 83 O Ho: µ > 83; H3: µ = 83 O Ho: µ < 83; H: µ = 83 b) Find the z-statistic and P-value for these data. Give z to two decimal places and P to four decimal places. Z = and P = c) What is the appropriate decision based on P? Select all that apply. We should reject the null hypothesis in favor of the alternative. We should fail to reject the null hypothesis in favor of the alternative hypothesis. We can say with certainty that the null hypothesis is not true.
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