Suppose that a team of psychologists has recommended that people who experience anxiety attacks should receive regular counseling. The psychologists claim that the counseling sessions provide a therapeutic, or healing, experience. The psychologists promote this type of therapy rather than pharmaceutical treatments. To test the effectiveness of counseling, a researcher randomly selects six people who experience anxiety attacks. These six people are interested in the counseling treatment. The researcher gives each person an anxiety test before and after the person has a counseling session with a therapist. Higher scores on the test indicate a higher level of anxiety in the person taking the test. The anxiety test scores are normally distributed. The test scores of the six people are shown in the table below. Person 2 3 4 5 6 Pre-Counseling Score 66 71 80 85 85 90 Post-Counseling Score 64 65 70 81 81 91 A) What does the Null hypothesis say about the mean difference in post-counseling and pre-counseling scores? (psychologist are testing whether or not counseling is effective tool to aid with Choose. anxiety) Choose.. B) What does the Alternative hypothesis say about the mean -2.7 The mean difference is 0. difference in post-counseling and pre-counseling scores? yes (psychologist are testing whether or not counseling is effective no tool to aid with anxiety) 1 - tail test reject () Is this a 1- tail test or a 2 - tail test? The mean difference is negative. D) What is the mean difference for post-counseling score and pre- The mean difference is not 0 counseling score? (Round to 1 decimal place) fail to reject 2 - tail test E) Is the p-value less than a level of significance of 0.05? "yes" or -2.4 no -2.5 -2.8 F) Is the p-value less than a level of significance of 0.01? "yes" or -2.6 "no G) Should you reject or fail to reject the null hypothesis? "reject" or "fail to reject" Choose.. H) Is there enough evidence to conclude counseling will improve anxiety level? "yes"or "no" Choose...A Statistie's teacher claims that on average 15% of All students get a grade of A, 35% get a B, 30% get a (3,15% get a D, and 5% get an F. The grades of 80 students were record ed and the following table shows the results. Grades Observed A B D F Observed A=13 B=25 =22 D=13 F=T Suppose the distribution claimed by teacher is to be tested using a Goodness of Fit Test https:flwwwdesmoscomlcalculaton'vecnvzwsZZ A} What would be the null hypothesis, Hp? Choose___ B) What would be the alternative hypothesis, H1? 320056"- C} If the distribution is the same as claim, how many 23 B's would you ex pec'? 25 28 D) Itthe distribution is the same as claim. how manyr _ C5 WOUld YOU eXPEC'? less than 0.01 30 E] What is the Chi squared value for test? 0 03 0.12 What is the -va|ue? F) p The distribution is the same as what is claimed by teacher. G} Should the null hypothesis be rejected based on 3? .. .. .. .. 0.01 pValue? yes or no 2.9 H] Is there enough evidence to conclude the (15:: distribution is different than that which is claimed yes by teacher? "yes" or "no" \"0 2? 5.8 33 Scientists determined that the cause of death in many prawns off the coast of Chile was a nutrient deficiency. So, they set out to determine if the distribution of plants in the ocean near the coast was out of proportion when compared to the ideal environment: 40% Kelp, 25% Phytoplankton, 25% Coral and 10% Other (mostly nutrient-low seaweed). In randomly chosen areas along the coast, they sampled 240 plants. KELP PHYTOPLANKTON CORAL OTHER 84 67 57 32 A) In an ideal environment how many of the 240 plants would you expect to be Kelp? Choose... B) If a goodness of fit test is conducted, what is the null Hypothesis? Choose... Choose... C) If a goodness of fit test is conducted, what is the 84 alternative Hypothesis? no D) What is the probability of getting the observed 96 values or values as extreme from the ideal? Round 16 93 to nearest whole percentage. 90 E) Is there enough evidence to conclude that the 2 environment for prawns is not ideal? Base this yes conclusion on p-value and a level of significance of Distribution of plants off coast of Chile is ideal for prawn 7 0.05 or 5%. "yes" or "no" Distribution of plants off coast of Chile is not ideal for prawn 20