At the beginning of a study on the effect of calcium in the diet on blood pressure, researchers measured the seated systolic blood pressure of 27 healthy white males. The paper reporting the study gives š = 114.9 and s = 9.3. (a) Construct a 98% confidence interval: (i) Draw the density curve of x and mark the middle area. (ii) Draw the density curve of t and mark the middle area. (iii) We are % confident that the population mean is between to

At the beginning of a study on the effect of calcium in the diet on blood pressure, researchers measured the seated systolic blood pressure of 27 healthy white males. The paper reporting the study gives š = 114.9 and s = 9.3. (a) Construct a 98% confidence interval: (i) Draw the density curve of x and mark the middle area. (ii) Draw the density curve of t and mark the middle area. (iii) We are % confident that the population mean is between 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

See similar textbooks

Similar questions

A magazine examined top-loading and front-loading washing machines, testing samples of several different brands of each type. One of the variables the magazine reported was “cycle time,” the number of minutes it took each machine to wash a load of clothes. The 98% confidence interval for the difference in mean cycle time (μtop − μfront) is (−40, −22). The endpoints of this confidence interval are negative numbers. What does that indicate? We can use the confidence interval from (a) to test the hypotheses below. H0: μtop − μfront = 0 HA :μtop − μfront ≠ 0 What’s the corresponding alpha level for this test? What do you conclude?
Assume that both populations are normally distributed. Test whether u, # µ, at the a= 0.05 level of significance for the given sample data. Population 1 10 Population 2 10 12.9 15.1 2.9 2.6 Test whether u, # H, at the a = 0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. O A. Ho H = H2 H, H, > H2 O B. HoH1 = H2 대# : H OC. Ho H1 # H2 대< H: H O D. Ho H, # H2 H, 4, =2 Detemine the P-value for this hypothesis test. P=(Round to three decimal places as needed.) Should the null hypothesis be rejected? O A. Reject Ho, there is not sufficient evidence to conclude that the two populations have different means. O B. Do not reject Hn, there is sufficient evidence to conclude that the two populations have different means. O C. Reject H,, there is sufficient evidence to conclude that the two populations have different means. O D. Do not reject Hn, there is not sufficient evidence to conclude that the two populations have different…
A new drug to treat high cholesterol is being tested by pharmaceutical company. The cholesterol levels for 8 patients were recorded before administering the drug and after. The mean difference in total cholesterol levels (after - before) was 15.91 mg/dL with a standard deviation of 15.2714 mg/dL. Create a 95% confidence interval for the true average difference in cholesterol levels by the drug. Question 9 options: 1) (-3.1428, 28.6772) 2) (3.1428, 28.6772) 3) (3.4593, 28.3607) 4) (10.5107, 21.3093) 5) (13.5454, 18.2746)
Question1: In a study, a sample of 12 participants rated their pain level as significantly lower when they repeated a swear word than when they repeated a neutral word. Following are the values of swear and neutral words. Calculate 95% confidence interval at an alpha level of 0.5. Participant Neutral word 12 123 4 5 6 7 8 9 10 11 5961 4 7 7 3 8 9 2 2
#21)
Data indicates that adolescent girls tend to experience a drop in self-esteem. To evaluate this result, a researcher obtains a sample of N = 36 adolescent girls, all 13 years old. A self-esteem measure is administered to each participant and the average score for the sample is X =68. It is known that the distribution of self-esteem scores for the population of pre-teen girls is normal with mean 80 and standard deviation 10. (a) Compute a 95% confidence interval for µ, the population mean self-esteem score for adolescent girls. (b) Compute Cohen’s d to estimate the size of the described effect. (c) Perform a hypothesis test to decide whether the mean self-esteem score for adolescent girls is significantly different from the mean self-esteem score for pre-teen girls. (d) Compute and interpret a Bayes factor for the model (either H0 or H1) with the best predictive adequacy. (e) Compute and interpret the posterior model probability for the winning model chosen in part (d).
Question 5 A common claim is that garlic lowers cholesterol levels. In a test of the effectiveness of garlic, 45 subjects were treated with doses of raw garlic, and their cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol (in mg/mL) have a mean of 4.94 mg/mL and a standard deviation of 18.51 mg/mL. Construct a 95% confidence interval for the average net change in LDL cholesterol after the garlic treatment. i. Procedure: Select an answer Select an answer One proportion Z procedure One mean T procedure One mean Z procedure One variance x² procedure ii. Assumptions: (select everything that applies) Simple random sample Sample size is greater than 30 Population standard deviation is unknown Population standard deviation is known The number of positive and negative responses ar Normal population iii. Unknown parameter: Select an answer Select an answer u, population mean o², population variance p, population proportion
#4data: 0.06, 0.11, 0.16, 0.15, 0.14, 0.08, 0.15. Use the sample data from #4 to construct a 98% confidence interval estimate for the standard deviation of the amount nitrogen-oxide emission for all cars.
In the following Table are gradients for eight female teeth and eight male teeth. These numbers are measures of the rate of change in the amount of X-ray penetration through a 500-micron section of tooth enamel at a wavelength of 600 nm as opposed to 400 nm. Find the 95% confidence interval for lx - ly. Hint(to.025,14 =2.1448) Male Xi 4.9 5.4 4.8 5.3 5.0 5.5 5.4 6.6 6.3 4.3 Female y; 3.7 4.1 5.6 4.0 3.6 5.0
One method for measuring air pollution is to measure the concentration of carbon monoxide, or CO, in the air. Suppose Nina, an environmental scientist, wishes to estimate the CO concentration in Zagreb, Croatia. She randomly selects 45 locations throughout the city measures the CO concentration at each location. Based on her 45 samples, she computes the margin of error for a 95% t-confidence interval for the mean concentration of CO in Zagreb, in µg/m³, to be 4.28. What would happen to the margin of error if Nina decreases the confidence level to 90%? Nina increases the confidence level to 99%? Nina decreases the sample size to 33 locations? Nina increases the sample size to 65 locations? Answer Bank Increase Stay the same Decrease
Data for fuel economy ratings in mi/gal for different cars are listed below. Each pair of data represents the rating using the Old test and the New test. Old (x) 31 22 23 33 27 21 22 19 31 16 New (y) 25 17 26 26 23 18 19 16 28 19 Find the best predicted value for the New test method given that the Old test method rating was 26. Use a significance level of 0.05.Round your answer to 1 decimal place, if needed.
you conducted additional studies with these men and found the following: a. The RR for those who drank one drink per day was 1.50 (95% CI:1.32-1.67) in comparison to the abstainers. b. For those men who drank three or more drinks per day the RR compared to the abstainers was 4.20 (95% CI 2.68-5.85). Question: We can tell from the Confidence Intervals provided in #7 whether there are likely more people in the “one drink a day” group or the “3+ drinks per day” group. Which one likely has more people and how can we tell?