1. Find the regression equation. 2. Estimate the mental ability of an individual from the same population who has an SES rating 9.0
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- Define degrees of freedom in the context of ANOVAOne of the issues facing organizations is increasing diversity throughout an organization. One of the ways to evaluate an organi- zation's success at increasing diversity is to compare the percentage of employees in the organization in a particular position with a specific background to the percentage in a particular position with that specific background in the general workforce. Recently, a large academic medical center determined that 9 of 17 employees in a particular position were female, whereas 55% of the employees for this position in the general workforce were female. At the 0.05 level of significance, is there evidence that the proportion of females in this position at this medical center is different from would be expected in the general workforce?Cell Phones and Cancer In a study of 420,095 Danish cell phone users, 135 subjects developed cancer of the brain or nervous system (based on data from the Journal of the National Cancer Institute as reported in Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.005 significance level. Based on these results, should cell phone users be concerned about cancer of the brain or nervous system?
- A health insurance company in country A sells policies to tourists who intend to visit the US for less than 3 months. To limit its financial exposure, it requires applicants to undertake a physical examination and meet specified criteria for different tests. To simplify the problem, let us assume that only one test is done and it measures cholesterol level of the applicant. Historical records in country A indicate that cholesterol level is normally distributed with a mean of 225 milligrams per deciliter (mg/dL) and a standard deviation of 39.5 mg/dL. High cholesterol levels increase the risk of a cardiovascular incident, for which the company may need to make major insurance payouts. The premium charged is a flat $3000/person for those who qualify. For planning purposes, assume the company will get 100,000 applications in a particular year. [show your calculations for all parts] a. The current threshold T for cholesterol is set by the company at 250 mg/dL. Anyone whose test result is…(a) A medical researcher is working on a new treatment for a certain type of cancer. The average survival time after diagnosis on the standard treatment is two years. In an early trial, she tries the new treatment on three subjects who have an average survival time after diagnosis of four years. Although the survival time has doubled, the results are not statistically significant even at the 0.10 significance level. The explanation isA. the placebo effect is present, which limits statistical significance.B. the calculation was in error. The researchers forgot to include the sample size.C. the sample size is small.D. that although the survival time has doubled, in reality the actual increase is really two years. (b) In testing hypotheses, if the consequences of rejecting the null hypothesis are very serious, we shouldA. use a very large level of significance.B. use a very small level of significance.C. insist that the level of significance be smaller than the P-value.D. insist that the…Cardiac Arrest at Day and Night. A study investigated survival rates for in-hospital patients who suffered cardiac arrest. Among 58,593 patients who had cardíac arrest during the day, 11.604 survived and were discharged. Among 28,155 patients who suffered cardiac arrest at night, 4139 survived and were discharged (based on data from "Survival from In-Hospital Cardiac Arrest During Nights and Weekends" by Peberdy et al., Journal of the American Medical Association, Vol. 299. No. 7). We want to use a 0.01 significance level to test the claim that the survival rates are the same for day and night. In this example, use a confidence interval rather than a hypothesis test to help draw conclusions.
- That animal species produce more offspring when their supply of food goes up isn’t surprising. That some animals appear able to anticipate unusual food abundance is more surprising. Red squirrels eat seeds from pine cones, a food source that occasionally has very large crops (called seed masting). What is striking is that the offspring are conceived in the spring, before the cones mature in the fall to feed the new young squirrels through the winter. Here are data on an index of the abundance of pine cones and average number of offspring per female over 16 years: Pine Index x 0 2.02 0.25 3.22 4.68 0.31 3.37 3.09 2.44 4.81 1.88 0.31 1.61 1.88 0.91 1.04 Offspring y 1.49 1.1 1.29 2.71 4.07 1.29 3.36 2.41 1.97 3.41 1.49 2.02 3.34 2.41 2.15 2.12 (a) Describe the relation between the variable x (Pine index) and the variable y (offspring) using the correlation factor r. Explain what r tells us about the relation. (b) Find the expected y value for a year when the Pine…A cellphone provider has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 600 subscribers. The results indicate that 131 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of the subscribers would upgrade. Complete parts (a) and (b) below. Question content area bottom Part 1 a. At the 0.01 level of significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced cost? Determine the null hypothesis, H0, and the alternative hypothesis, H1. A. H0: π=0.20 H1: π≠0.20 B. H0: π≥0.20 H1: π<0.20 C. H0: π≤0.20 H1: π>0.20 D. H0: π≠0.20 H1: π=A cellphone provider has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 124 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of the subscribers would upgrade. Complete parts (a) and (b) below. Question content area bottom Part 1 a. At the 0.05 level of significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced cost? Determine the null hypothesis, H0, and the alternative hypothesis, H1. A. H0: π≥0.20 H1: π<0.20 B. H0: π≠0.20 H1: π=0.20 C. H0: π≤0.20 H1: π>0.20 D. H0: π=0.20 H1: π≠0.20 What is the test statistic? ZSTAT=enter your response…
- please help me out. show full working out for better understanding Hereditary hemochromatosis (HH) is a recessively inherited genetic disorder resulting from mutations in the HFE gene. There are several possible mutations of different degrees of importance but the disease expresses itself only when at least 2 arepresent in any one individual. A blood analysis was performed on 3,000 blood samples from newborn babies of Caucasian descent in the state of Michigan, USA. The results showed that 163 of those sampled carried two mutations in the HFE gene. a. What is the proportion in the sample that carry the two mutations of the HFE gene? b. Calculate the 95% confidence interval for the proportion of this population that carries two mutations in the HFE Check the data for the necessary conditions and show full working. c. Interpret your interval in context d. If the researcher wanted to halve (x ½) the margin of error in the confidence interval found, what sample size would be required…A researcher is interested in studying the effects of altitude on cognitive performance (e.g., perception, memory, problem solving, etc.). The researcher finds a group of experienced mountain climbers (n = 10) who volunteer to participate in the study. All of the climbers are tested at three different altitudes—at sea level (in the researchers’ laboratory at the University of California, San Diego), at the base camp (9,000 feet above sea level), and at 23,000 feet above sea level (at the peak of Mt. Denali in Alaska). At each location, the climbers perform a memory task (remember a list of 16 non-words like “biv”), and the accuracy of their memory is recorded (i.e., # of correctly recalled words). a. pls name the independent variable, dependent variable, levels of the IV, and the type of experiment design of this study (i.e., b/w- or w/i-subject design ) b. on what level of measurement is accuracy of memory assessed? (i.e., is it on nominal, ordinal, interval, or ratio?A researcher is interested in studying the effects of altitude on cognitive performance (e.g., perception, memory, problem solving, etc.). The researcher finds a group of experienced mountain climbers (n = 10) who volunteer to participate in the study. All of the climbers are tested at three different altitudes—at sea level (in the researchers’ laboratory at the University of California, San Diego), at the base camp (9,000 feet above sea level), and at 23,000 feet above sea level (at the peak of Mt. Denali in Alaska). At each location, the climbers perform a memory task (remember a list of 16 non-words like “biv”), and the accuracy of their memory is recorded (i.e., # of correctly recalled words). a. pls name the independent variable, dependent variable, levels of the IV, and the type of experiment design of this study (i.e., b/w- or w/i-subject design ) b. on what level of measurement is accuracy of memory assessed? (i.e., is it on nominal, ordinal, interval, or ratio?) View…
