Part 1 – Conducting a Repeated Measures ANOVA Manually You will use the following data to go step-by-step through a hypothesis test, by hand, for the DASS Stress subscale pre/post/follow-up data mimicked from the Rackoff et al. article (2022).  A sample of n = 585 college students were selected to participate in the study. In the sample, all students took a the DASS measure pre-intervention, post-intervention, and one month following intervention. The data necessary for you to complete this hypothesis test is provided in the table below. Pre-intervention Post-intervention Follow-up All Times n = 585 n = 585 n = 585 N = 1755 T = 16716 T = 13730 T = 13217 G = 43663 SS = 3703.015 SS = 7899.726 SS = 5543.173 ΣX2 = 1115653        = 1099779   Research Question: Is there a significant difference change in stress from pre-intervention to post-intervention to follow-up as measured by the DASS stress subscale? Step 1 à State your hypotheses State both your null and alternative hypotheses in the space below.

A clinical trial is planned to compare an experimental medication designed to lower blood pressure to a placebo.  Before starting the trial, a pilot study is conducted involving eight participants.  The objective of the study is to assess how systolic blood pressure changes over time untreated.  Systolic blood pressures are measured at baseline and again 4 weeks later Is there a statistically significant difference in blood pressures over time?  Run the test at a 5% level of significance. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show all your work to receive full credit. Partial credit is available.  Baseline 4 weeks 135 136 150 142 143 135 160 158 152 155 143 140 133 128 146 129

Big babies: The National Health Statistics Reports described a study in which a sample of 310 one-year-old baby boys were weighed. Their mean weight was 24.4 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the α = 0.10 level of significance and the P-value method with the TI-84 Plus calculator. Compute the  P-value. Round the answer to at least four decimal places.   P-value = ____         How do I solve this problem using the TI-84 calculator?

Big babies: The National Health Statistics Reports described a study in which a sample of  96  one-year-old baby boys were weighed. Their mean weight was  25.6  pounds with standard deviation  5.3  pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than  25  pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the  =α0.05  level of significance and the  P -value method and Excel. Part: 0 / 5 0 of 5 Parts Complete   Part 1 of 5       (a)State the appropriate null and alternate hypotheses.   H0 :  =μ25 H1 :  >μ25 This hypothesis test is a ▼two-tailed test.                                                                 Part: 1 / 5 1 of 5 Parts Complete   Part 2 of 5       (b)Compute the value of the test statistic. Round the answer to at least three decimal places.…

You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of o = 0.4 degrees Celsius. You test a random sample 16 shift registers, and you record the following shut- down temperatures. Construct a 80% confidence interval for the overall mean shutdown-temperature. 174.99 174.76 174.99 174.61 174.86 174.41 175.54 174.13 174.96 174.78 174.84 174.67 174.87 175.52 174.88 175.35 (Checksum: 2798.16) a) Find the critical value and ₂. Critical Value: σz: b) Find the confidence interval:

2 different treatments were used to speed the relief time (in minutes) of migraines. 8 subjects received each treatment. The recovery times are listed below. Treatment 1: 20 19 29 25 34 32 39 38 Treatment 2: 18 18 16 17 29 28 21 37 Construct a 90% confidence interval for the difference in the relief time between the 2 treatments.

One Sample T-test and Confidence Interval The average monthly cell phone bill was reported last year to be $53.88 by the U.S. Wireless Industry. Random sampling of a large cell phone company found the current monthly cell phone charges (in dollars) in the table on the left. At the 0.05 level of significance, can it be concluded that the average cell phone bill has increased? Also find an 85% confidence interval estimate of the current mean monthly cell phone bill. Cell Phone Bills 55.83 60.47 58.60 49.88 52.45 51.29 32.98 49.20 70.42 50.02 75.04 41.88 35.00 61.58 58.99 61.25 62.00 80.21 73.60 71.52 42.80 38.65 49.54 61.88 46.30 74.10 48.63 63.45 44.43 36.77 71.96 77.79 42.13 63.24 67.56 74.44 31.77 76.91 73.04 79.92 67.10 78.13 37.95 45.60 68.88 54.47 43.47 54.57 76.12 80.45 38.08 57.21 54.28 a.  State the random variable and the parameter in words. b. State the null and…

Big babies: The National Health Statistics Reports described a study in which a sample of 320 one-year-old baby boys were weighed. Their mean weight was 25.8 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys differs from 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the a 0.01 level of significance and the critical value method with the Critical Values for the Student's t Distribution Table (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion.