A sleep disorder specialist wants to test the effectiveness of a new drug that is reported to increase the number of hours of sleep patients get during the night. To do so, the specialist randomly selects 16 patients and records the number of hours of sleep each gets with and without the new drug. The accompanying table shows the results of the two-night study. Construct a 90% confidence interval for \( \mu_d \), using the inequality: \[\bar{d} - t_c \frac{s_d}{\sqrt{n}} < \mu_d < \bar{d} + t_c \frac{s_d}{\sqrt{n}}\]Assume the populations are normally distributed.[Insert clickable icon to view data on hours of sleep with and without the drug]Calculate \( d \) for each patient by subtracting the number of hours of sleep with the drug from the number without the drug. The confidence interval is:\[[\text{lower bound}] \, \text{hr} < \mu_d < [\text{upper bound}] \, \text{hr}\](Round to two decimal places as needed.) # Hours of SleepThis table illustrates the hours of sleep recorded for 16 patients, both without and with the use of a specific drug. The data is organized into two rows corresponding to sleep duration measurements:- **Patient Numbers:** 1 through 16.- **Hours of Sleep (without the drug):** - Patient 1: 3.3 hours - Patient 2: 1.9 hours - Patient 3: 1.8 hours - Patient 4: 2.3 hours - Patient 5: 1.9 hours - Patient 6: 3.4 hours - Patient 7: 4.1 hours - Patient 8: 2.7 hours - Patient 9: 4.6 hours - Patient 10: 4.4 hours - Patient 11: 5.8 hours - Patient 12: 4.4 hours - Patient 13: 2.2 hours - Patient 14: 3.1 hours - Patient 15: 5.3 hours - Patient 16: 5.7 hours- **Hours of Sleep (using the drug):** - Patient 1: 5.4 hours - Patient 2: 4.3 hours - Patient 3: 3.9 hours - Patient 4: 3.8 hours - Patient 5: 3.1 hours - Patient 6: 4.5 hours - Patient 7: 4.8 hours - Patient 8: 5.0 hours - Patient 9: 5.2 hours - Patient 10: 6.1 hours - Patient 11: 7.9 hours - Patient 12: 5.5 hours - Patient 13: 3.7 hours - Patient 14: 5.5 hours - Patient 15: 7.8 hours - Patient 16: 6.6 hoursThis data examines the effect of the drug on the sleep duration of each patient, highlighting potential increases in sleep time with the drug's use.

From given data we have : n=16 x y d 3.3 5.4 2.1 1.9 4.3 2.4 1.8 3.9 2.1 2.3 3.8 1.5…

Answered: A sleep disorder specialist wants to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below, r= -.863 R2=.74 b= -1.212294 a= 131.176598 10.) How does the presence of more students affect the incidents in the class? a) as students are added the incidences increase b) as students are added the incidences decrease c) the number of students does not affect acting out d) the number of students caused more incidents How much of the variability of acting out is explained by the number of students in the class?___________
Ms. Fit investigates whether children exhibit a higher number of prosocial acts after watching a 30-minute cartoon containing multiple prosocial acts in comparison to watching a 30-minute educational cartoon. Before watching the cartoon, children were matched on empathy (as rated by one of their parents) and then one of each pair was assigned to either the prosocial cartoon or the educational cartoon. The number of prosocial acts for the children was analyzed and resulted in the output below. Write a directional alternative hypothesis. Identify the IV, its levels, and its scale of measurement. Identify the DV and its scale of measurement. Identify one limitation in the design of this specific study (not just this type of design). Explain why it is a limitation and suggest how a future study could avoid it. What specific procedures should the research have followed to ensure that the study is ethical? Explain your answer.
Tim is interested in studying whether Cognitive Behavioural Therapy (CBT) is an effective treatment for Obsessive Compulsive Disorder (OCD). Six people who were diagnosed with OCD participated in Tim's study, where he recorded the number of times they washed their hands per day for one month. They were then given a three week intensive CBT program before their hand-washing was monitored for another month. The average number of times per day each participant washed their hands over the two months of observation are as follows: Participant Month 1 Month 2 1 11 6 2 8 5 3 14 17 4 10 10 5 22 11 6 15 10 Compute the appropriate statistic to determine whether the program was effective and use this information to fill in the blanks: Q1. revealed that the number of times per day participants washed their hands following the CBT program was Q2. compared to the number of times per day participants washed their hands before the…
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A popular, nationwide standardized test taken by high-school juniors and Españ seniors may or may not measure academic potential, but we can nonetheless attempt to predict performance in college from performance on this test. We have chosen a random sample of students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from o to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test andy denoting the first-year college grade point average. The least-squares regression line for these data is 1.1239+0.0015x. This line is shown in the scatter plot below. Standardized test score, .x 1360 1100 790 1280 890 Grade point average, y 3.77 2.28 2.35 2.91 2.64 2.22 3.18 3.34 2.36 3.30 3.02 2.88 860 1400 1510 1000 1250 1060 1210 1020 940 1510 Send data to calculator ✓ Send data to Excel 3.07 2.29 3.01 Grade point average, 34- 324 900…
Peter Boag, studied the inheritance of beak depth in Galapagos finches by looking at the relationship between parent beak depth (in mm) and that of their offspring. He collected two sets of parent offspring data, once in 1976 and again in 1978. For both years he followed birds to determine which pairs belonged to which nests. Most of the parents had been previously captured so their beak depths were known. He then captured the offspring when they fledged and measured their beak depth. He calculated the "midparent" beak depth (the average beak depth of the two parents) and then compared that to beak depth of their offspring. Use regression analysis to estimate heritability for the trait beak depth from the Galapagos finches data in the above table.
Scientists are interested in the placebo effect on adults with arthritis. They randomly choose 15 adults with arthritis and give them 2 treatments: effective drug and placebo for 1 week at different times. At the end of each week, the scientists ask the participants to rate their arthritic pain level on a scale of 1-5, where 1 is little pain and 5 is a lot of pain. The researchers then take the difference of their pain levels (affective drug - placebo). The data are below. 0, 1, 2, 2, 0, -1, 3, 1, 2, -1, 0, 1, -2, -1, -6 (a) Find the 5-number summary for the difference of arthritic pain levels. Minimum = Q₁ = Median = USE SALT Q3 = Maximum = (b) One of the conditions for inference for population mean difference of paired data is normality. Outliers within a data set cast a shadow of doubt upon the normality of the population distribution. Use the 5-number summary calculated in part (a) to determine if there are any outliers in the data set. Which of the values, if any, is an outlier…
Find A= %b= %c= %d= %
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A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with 250250 randomly selected individuals several years ago. The psychologist believes that these attitudes have changed over time. To test this he randomly selects 250250 individuals and asks them the same questions. Can the psychologist confirm his theory that the attitudes have changed from the first survey to the second survey? Attitude 1st Survey 2nd Survey Optimistic 50%50% 52%52% Slightly Optimistic 16%16% 10%10% Slightly Pessimistic 11%11% 15%15% Pessimistic 23%23% 23%23% Copy Data Step 6 of 10 : Find the value of the test statistic. Round your answer to three decimal places. Step 7 of 10: Find the degrees of freedom associated with the test statistic for this problem Step 8 of 10: Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places.step 9 of 10: make the decision to reject or fail to reject…

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