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Group 1 ->18-42 Years
Group 2 -> 43-67 Years
Group 3 -> 68-89 Years
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- Group Number of Children Mean PEF Std Dev PEF Chronic Bronchitis 25 281 68 No Chronic Bronchitis 25 319 74 Using the data presented above: a) Construct a 95% confidence interval for the mean PEF in children without chronic bronchitis b) Determine how many children would be required to ensure that the margin of error in (a) does not exceed 10 units.Males vs Females and One True Love In Data 2.1 we describe a study in which a random sample of 2625 US adults were asked whether they agree or disagree that there is “only one true love for each person.” The response and gender of the participants is shown in Table 3.6. Use the information in the table to construct and interpret a 95% confidence interval for the difference in the proportion who agree, between males and females, using the fact that the standard error for the difference is 0.018. Is it plausible that there is no difference between males and females in the proportion who agree that each person has only one true love? Table3.6Is there one true love for each person? Male Female Total Agree. 372. 363. 735 Disagree. 807. 1005. 1812 Don't know. 34. 44. 78 Total 1213 1412 2625Caffeine in Soft Drinks Listed below are measured amounts of caffeine (mg per 12 oz of drink) obtained in one can from each of 20 brands (7UP, A&W Root Beer, Cherry Coke, …, TaB). Use a confidence level of 99%. Does the confidence interval give us good information about the population of all cans of the same 20 brands that are consumed? Does the sample appear to be from a normally distributed population? If not, how are the results affected?
- Dark Chocolate for Good Health Eleven people were given 46 grams (1.6 ounces) of dark chocolate every day for two weeks, and their vascular health was measured before and after the two weeks. Larger numbers indicate greater vascular health, and the mean increase for the participants was 1.3 with a standard deviation of 2.32. Assume a dotplot shows the data are reasonably symmetric with no extreme values. Find and interpret a 90% confidence interval for the mean increase in this measure of vascular health after two weeks of eating dark chocolate. Can we be 90% confident that the mean change for everyone would be positive? Use t* = 1.812Low levels of testosterone in adult males may be treated using AndroGel. In clinical studies of 234 adult males who were being treated with AndroGel, it was found that 26 saw their prostate-specific antigen (PSA) elevated. The PSA is a protein produced by the prostate gland.Determine a 95% confidence interval for the proportion of adult males treated with AndroGel who will experience elevated PSA levels.Cell Phones and Cancer A study of 420,095 Danish cell phone users found that0.0321% of them developed cancer of the brain or nervous system. Prior to this study of cellphone use, the rate of such cancer was found to be 0.0340% for those not using cell phones. The data are from the Journal of the National Cancer Institute. a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. b. Do cell phone users appear to have a rate of cancer of the brain or nervous system that is different from the rate of such cancer among those not using cell phones? Why or why not?
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- : Researchers studies the effect of a fertilizer on radish sprout growth. They randomly selected some radish seeds to serve as controls, while others were planted in aluminum planters to which fertilizer sticks were added. Other conditions were held constant between the two groups. The following table shows a summary of the heights of plants (in cm) 2 weeks after germination Compute a 95% confidence interval for the difference in mean heights between fertilized and unfertilized plants Which confidence interval has the largest margin of error [Circle One]:(a) 95% CI for the mean difference with sample size n1=n2=20(b) 99% CI for the mean difference with sample size…(a) Test for the equality of variances of mathematics test results from the students with and without tutoring help at α = 0.1 (b) Test whether there is difference in the mean mathematics test results for the students with and without tutoring help at 2% significance level. (c) Find the 95% confidence interval for the difference between two groups’ average mathematics test results.Family Vacation Expenses. A survey conducted by the American Automobile Association showed that a family of four spends an average of $215.60 per day while on vacation. Suppose a sample of 64 families of four vacationing at Niagara Falls resulted in a sample mean of $252.45 per day and a sample standard deviation of $74.50. a. Develop a 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls.b. Based on the confidence interval from part (a), does it appear that the population mean amount spent per day by families visiting Niagara Falls differs from the mean reported by the American Automobile Association? Explain.