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- Note: kindly solve part bChapter 09, Section 9.3, Problem 047 A past study claimed that adults in America spent an average of 18 hours a week on leisure activities. A researcher wanted to test this claim. She took a sample of 10 adults and asked them about the time they spend per week on leisure activities. Their responses (in hours) are as follows. 10.0 11.9 24.2 24.4 22.4 33.8 19 19.6 20.4 20.9 Assume that the times spent on leisure activities by all adults are normally distributed. Using the 5% significance level, can you conclude that the average amount of time spent by American adults on leisure activities has changed? (Hint: First calculate the sample mean and the sample standard deviation for these data. Then make the test of hypothesis about 4.) Round the sample standard deviation to three decimal places. The claim isA researcher wants to know how long it takes, on average, for a certain species of bacteria to divide. She watches 17 cells through a microscope and times how long it takes them to divide. She obtains the following data, in hours:8.1, 7, 7.4, 7.4, 6.6, 7.3, 7.5, 7, 7.7, 6.9, 7.9, 6.7, 6.7, 6.9, 7.5, 7.1, 7.3Assuming the population standard deviation is σ=0.4, construct a 89% confidence interval for the average time it takes this species of bacteria to divide.xˉ=α2=zα2=Margin of Error: E=We are 89% confident that this species of bacteria takes, on average, between ___hours and ___hours to divide.
- 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?___________3. People lose muscle mass as they age. Suppose a person lost 7% of their muscle mass between ages 50 and 60 (based on what they had at age 50) and 8% of their muscle mass from 60 to 70 (based on what they had at age 60). What percentage of the muscle mass that they had at age 50 have they lost by age 70? The following approach is INCORRECT! Explain why. The person lost 1% and then lost 8%. Since 1% + 8% =15%, they lost 15%. Explanation: Work: Answer the question, supporting your answer with work.In North America, between 100 million and 1 billion birds die each year by crashing into windows on buildings, more than any other human-related cause. This figure represents up to 5% of all birds in the area. One possible solution is to construct windows angled downward slightly, so that they reflect the ground rather than an image of the sky to a flying bird. An experiment by Klem et al. (2004) compared the number of birds that died as a result of vertical windows, windows angled 20 degrees off vertical, and windows angled 40 degrees off vertical. The angles were randomly assigned with equal probability to six windows and changed daily; assume for this exercise that windows and window locations were identical in every respect except angle. Over the course of the experiment, 30 birds were killed by windows in the vertical orientation, 15 were killed by windows set at 20 degrees off vertical, and 8 were killed by windows set at 40 degrees off vertical. . Clearly state an appropriate…
- At what glucose level cutoff would we identify 100 % of diabetics?According to the CDC, cholesterol levels can be reduced by following a healthy diet, getting regular exercise, and reducing the amount of alcohol consumed on a weekly basis. One method of monitoring overall cholesterol levels is to calculate your cholesterol ratio (LDL/HDL), in general a cholesterol ratio between 3.5 and 5.0 is considered to be healthy for most adults. Suppose you are a clinical researcher testing the effects of these lifestyle changes on patient cholesterol levels. In order to determine if following these guidelines helps to reduce overall cholesterol, a total of 18 participants (N = 18) with moderate to high cholesterol ratios (i.e., 3.91 to > 5.0) were recruited for a healthy lifestyle study and their cholesterol ratio was calculated three times over a six week period: Week 0 (baseline), Week 3, and Week 6. Using the variables "Week 0", "Week 3", and "Week 6" in the data set, conduct a One-Way, Within Subjects (AKA Repeated Measures) ANOVA, at α = 0.05, to see….A new, miracle diabetes drug that diminishes major symptoms of diabetes has been approved by the FDA. Health care professionals and researchers believe that the new drug will prolong lifespan of diabetes patients. If the population is in steady state and the incidence is constant, what will the effect of this new drug be on the prevalence of diabetes in the population? Explain.
- According to the CDC, cholesterol levels can be reduced by following a healthy diet, getting regular exercise, and reducing the amount of alcohol consumed on a weekly basis. One method of monitoring overall cholesterol levels is to calculate your cholesterol ratio (LDL/HDL), in general a cholesterol ratio between 3.5 and 5.0 is considered to be healthy for most adults. Suppose you are a clinical researcher testing the effects of these lifestyle changes on patient cholesterol levels. In order to determine if following these guidelines helps to reduce overall cholesterol, a total of 18 participants (N = 18) with moderate to high cholesterol ratios (i.e., 3.91 to > 5.0) were recruited for a healthy lifestyle study and their cholesterol ratio was calculated three times over a six week period: Week 0 (baseline), Week 3, and Week 6. Using the variables "Week 0", "Week 3", and "Week 6" in the data set, conduct a One-Way, Within Subjects (AKA Repeated Measures) ANOVA, at α = 0.05, to see…The following is based on information from The Wolf in the Southwest: The Making of an Endangered Species, by David E. Brown (University of Arizona Press). Before 1918, the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 37 wolves, there were only 11 females. One theory is that male wolves tend to return sooner than females to their old territories, where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P 0.5 O Ho: P = 0.5; H₁: p 5 and nq > 5. O The Student's t, since np > 5 and ng > 5. The standard normal, since np < 5 and nq < 5. O The Student's t, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round…The bacterium Staphylococcus aureus is commonly found on the skin and rarely causes major problems. If it gets under the skin or into the lungs it can cause boils or pneumonia. If the strain of bacterium causing these problems is resistant to methicillin, the infections can be life threatening. Methicillin resistant Staphy- lococcus aureus or MRSA is, therefore, a major concern in hospitals and clinics. Given the death rate from MRSA lung infections is 20%, if 20 patients are admitted in the hospital find the following probabilities: (a) Less than 3 die (b) At least 3 die. (c) Between 6 and 3 die.