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- A researcher tests whether cocaine use increases impulsive behavior, which is measured as the number of impulsive events per hour. The researcher gives either 0 ng, 10 ng, 15 ng, or 20 ng to each group of mice. 1. What is the independent and dependent variable?A student wondered what proportion of a large jar of thousands of marbles were red and speculated that it was 0.30. She took a random sample of 50 marbles and got 18 red marbles, for a sample proportion of 0.36. Below is a dotplot of 100 simulated samples of drawing 50 marbles from a population that is set up to have the proportion of "red marbles" to be 0.30. Based on this dotplot, would getting a sample of 50 marbles to have a 0.36 proportion of red marbles be significant evidence that the true proportion of red marbles in the whole jar is greater than 0.30?A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data for a particular clinic follows (the reported variable is the number of CAT scans each month expressed as the number of CAT scans per thousand members of the health plan): 2.31, 2.09, 2.36, 1.95, 1.98, 2.25, 2.16, 2.07, 1.88, 1.94, 1.97, 2.02.(a) Find a 95% two-sided CI on the mean number of CAT scans performed each month at this clinic.(b) Historically, the mean number of scans performed by all clinics in the system has been 1.95. If there any evidence that this particular clinic performs more CAT scans on average than the overall system average?
- To test the effectiveness of a new drug designed to relieve pain, 200 patients were randomly selected and divided into two equal groups. One group of 100 patients was given a pill containing the drug while the other group of 100 was given a placebo. What can we conclude about the effectiveness of the drug if 62 of those actually taking the drug felt a beneficial effect while 41 of the patients taking the placebo felt a beneficial effect? Use α = 0.01.A drug company claims that an allergy medication causes headaches in 5% of those who take it. A medical researcher believes that more than 5% of those who take the drug actually get headaches. Identify the population. more than 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. 5% of those who take the drug actually get headaches. all individuals who take the medication.An organization published an article stating that in any one-year period, approximately 8.2 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, six of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country. p' = Calculate ?x. Find the p-value.
- An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure " distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and number of days until deaths began in each later group: Distance xx 2 5 4 4 4 6 Days yy 4 21 29 40 47 49 Use a calculator or software to find the following values. (a) Find the mean and standard deviation of xx. MEAN: STANDARD DEVIATION: (b) Find the mean and standard deviation of yy. MEAN: STANDARD DEVIATION: (c) Find the correlation rr between xx and yy. r:Historically, Olympic officials have reported testosterone levels, in general, should be µ = 538 ng/dL, with σ = 189, with x being normally distributed. Summer Olympic sprinters (n = 8) from the U.S. were tested for testosterone levels the morning after the opening ceremonies. Their sample mean was x̄=688 ng/dL. Do these data indicate that the sprinters had an overall average testosterone level greater than 538? Use α = .05. State α, Ho, H1, p-value, rejection, or non-rejection, and be certain to interpret your results.man loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 What is the median number of hours studied? a. 2.3 b. 4.7 c. 4.5 d. 4.2 e. 5.5 f. 5 g. cannot be determined
- man loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 We know that 25% of all the grades falls into which of these regions? a. 78.5 to 79.0 b. 78.5 to 86.9 c. 75.8 to 86.9 d. 75.8 to 97.0 e. 78.5 to 97.0 f. 75.8 to 79.0man loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 What problem might there be in using the regression model to predict what grade a student might get if they studied 10 hours? a. The predicted grade for 10 hours is more than 100, which is impossible. b. The value of 10…Suppose that in a research it was discovered that those who majored in math, engineering, or computer science scored higher on tests measuring "problem-solving" ability at the end of 4 years of college than did those students who did not major in these fields. A. What is (are) the independent variable(s)?