Question 6: answer everything please!!
CENGAGE | MINDTAP nplete: Chapter 9 Problem Set ck to Assignment Attempts Keep the Highest / 7 6. Two-tailed hypothesis testing - Step by step S-adenosyl methionine (SAM-e) is a naturally occurring compound in human cells that is thought to have an effect on depression symptoms. Suppose that a researcher is interested in testing SAM- e on patients who are struggling with HIV. She obtains a sample of n = 25 patients and asks each person to take the suggested dosage each day for 4 weeks. At the end of the 4-week period, each individual takes the Beck Depression Inventory (BDI), which is a 21-item, multiple-choice self- report inventory for measuring the severity of depression. The scores from the sample produced a mean of M - 20.8 with a standard deviation of s = 5.18. In the general population of HIV patients, the standardized test is known to have a population mean of u - 23.2. Because there are no previous studies using SAM-e with this population, the researcher doesn't know how it will affect these patients; therefore, she uses a two-tailed single- sample t test to test the hypothesis. From the following, select the correct null and alternative hypotheses for this study: H.: HSAM- 23.2; H,: HSAM-# 23.2 H.: MSAM- 23.2; H.: MSAM-6 23.2 H.: HSAM-85 23.2; H,: USAM-& 23.2 OH.: HSAM- 23.2; H,: USAM- 23.2 Assume that the depression scores among patients taking SAM-e are normally distributed. You will first need to determine the degrees of freedom. There are In degrees of freedom. Use the t distribution table to find the critical region for a = 0.05. The t Distribution: Complete: Chapter 9 Problem Set 0.25 0.10 0.05 0.025 0.01 0.005 Proportion in Two Tails Combined 0.50 0.20 0.10 0.05 0.02 0.01 By To df 1.000 3.078 6.314 12.706 31.821 63.657 0.816 1.886 2.920 4.303 6.965 9.925 3 0.765 1.638 2.353 3.182 4.541 5.841 4 0.741 1.533 2.132 2.776 3.747 4.604 5 0.727 1.476 2.015 2.571 3.365 4.032 lips 6 0.718 1.440 1.943 2.447 3.143 3.707 7 0.711 1.415 1.895 2.365 2.998 3.499 8 0.706 1.397 1.860 2.306 2.896 3.355 9 0.703 1.383 1.833 2.262 2.821 3.250 10 0.700 1.372 1.812 2.228 2.764 3.169 11 0.697 1.363 1.796 2.201 2.718 3.106 12 0.695 1.356 1.782 -2.179 2.681 3.055 13 0.694 1.350 1.771 2.160 2.650 3.012 14 0.692 1.345 1.761 2.145 2.624 2.977 15 0.691 1.341 1.753 2.131 2.602 2.947 16 0.690 1.337 1.746 2.120 2.583 2.921 17 0.689 1.333 1.740 2.110 2.567 2.898 18 0.688 1.330 1.734 2.101 2.552 2.878 19 0.688 1.328 1.729 2.093 2.539 2.861 20 0.687 1.325 1.725 2.086 2.528 2.845 21 0.686 1.323 1.721 2.080 2.518 2.831 22 0.686 1.321 1.717 2.074 2.508 2.819 23 0.685 1.319 1.714 2.069 2.500 2.807 24 0.685 1.318 1.711 2.064 2.492 2.797 25 0.684 1.316 1.708 2.060 2.485 2.787 26 0.684 1.315 1.706 2.056 2.479 2.779 27 0.684 1.314 1.703 2.052 2.473 2.771 28 0.683 1.313 1.701 2.048 2.467 2.763 29 0.683 1.311 1.699 2.045 2.462 2.756 30 0.683 1.310 1.697 2.042 2.457 2.750 40 0.681 1.303 1.684 2.021 2.423 2.704 60 0.679 1.296 1.671 2.000 2.390 2.660 120 0.677 1.289 1.658 1.980 2.358 2.617 00 0.674 1.282 1.645 1.960 2.326 2.576 The critical t scores (the values that define the borders of the critical region) are The estimated standard error is The t statistic is The t statistic in the critical region. Therefore, the null hypothesis rejected. Therefore, the researcher conclude that SAM-e has a significant effect on the moods of HIV patients
