The taste test for PTC (phenylthiocarbamide) is a favorite exercise for every human genetics class. It has been established that a single gene determines the characteristic, and that 70% of Americans are "tasters," while 30% are "nontasters." Suppose that 20 Americans arerandomly chosen and are tested for PTC. (Round your answers to three decimal places.)USE SALT(a) What is the probability that 14 or more are "tasters"?(b) What is the probability that 11 or fewer are "tasters"?

From the given information,70% of Americans are "tasters" and 30% are "non tasters''.Suppose that 20…

Answered: The taste test for PTC…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Hypertension It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hypertensive. A random sample of 141 of each gender was selected from recent hospital records, and the following results were obtained. Can you conclude that a higher percentage of women have high blood pressure? Use α=0.05. Men 48 patients had high blood pressure Women 61 patients had high blood pressure Use p₁ for the proportion of men with high blood pressure and round all intermediate calculations to at least three decimal places. Part: 0 / 5 00 @ E 4 V olo
A psychologist has developed a mental alertness test. She wishes to study the effects (if any) of type of food consumed on mental alertness. Twenty-one volunteers were randomly divided into two groups. Both groups were told to eat the amount they usually eat for lunch at noon. At 2:00 P.M., all subjects were given the alertness test. Group A had a low-fat lunch with no red meat, lots of vegetables, carbohydrates, and fiber. Group B had a high-fat lunch with red meat, vegetable oils, and low fiber. The only drink for both groups was water. The test scores are shown below. Group A 67 93 82 69 76 47 43 58 92 63 52 Group B 70 57 75 59 66 49 55 46 45 91 89 72 Use a 10% level of significance to test the claim that there is no difference in mental alertness distributions based on type of lunch. (a) What is the level of significance? (b) Compute the sample test statistic. (Use 2 decimal places.) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work fewer volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for thirteen randomly selected fraternity brothers and eleven randomly selected sorority sisters. Brothers: 14 7 11 13 9. 11 8 12 7 13 10 13 Sisters: 13 19 16 11 11 19 5 10 16 17 7 | d. The p-value is ? O a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work hours for sorority sisters. The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is less than the population mean volunteer work…
For a population with u = 84 and o = 4, what is the z-score corresponding to X= 80? O -1,00 +1,00 O+1.25 -1.50
A popular, nationwide standardized test taken by high-school juniors and Españ seniors may or may not measure academic potential, but we can nonetheless attempt to predict performance in college from performance on this test. We have chosen a random sample of students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from o to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test andy denoting the first-year college grade point average. The least-squares regression line for these data is 1.1239+0.0015x. This line is shown in the scatter plot below. Standardized test score, .x 1360 1100 790 1280 890 Grade point average, y 3.77 2.28 2.35 2.91 2.64 2.22 3.18 3.34 2.36 3.30 3.02 2.88 860 1400 1510 1000 1250 1060 1210 1020 940 1510 Send data to calculator ✓ Send data to Excel 3.07 2.29 3.01 Grade point average, 34- 324 900…
A local ice cream shop collects data on the temperature of the day and how many ice cream cones were sold that day. What type of data was collected? Bivariate and Quantitative Bivariate and Categorical Univariate and Quantitative Univariate and Categorical
Pain medications sometimes come with side effects. One side effect is dizziness. A researcher wanted to determine if some pain medications produced more or less dizziness than others. The results from his study are shown in the table below. Use a test to determine if the proportion of people within each treatment group who experienced dizziness are the same at the α= .01 level of significance. Tordol Placebo Naproxen Tylenol Advil Dizziness 83 32 36 5 8 No dizziness 4063 1832 1330 382 337 1) Determine the null and alternative hypotheses. Select the correct pair. Ho: The proportion of people within each treatment group who experienced dizziness are the sameHa: The proportion of people within each treatment group who experienced dizziness are different Ho:The proportion of people within each treatment group who experienced dizziness are independentHa:The proportion of people within each treatment group who experienced dizziness are dependent 2) Determine the…
Green Tea and Prostate Cancer A preliminary study suggests a benefit from green tea for those at risk of prostate cancer. The study involved 60 men with PIN lesions, some of which turn into prostate cancer. Half the men, randomly determined, were given 600 mg a day of a green tea extract while the other half were given a placebo. The study was double-blind, and the results after one year are shown in the table below. Treatment Cancer No Cancer Green Tea 1 29 Placebo 9 21 (a) Test at a 5% significant level to see if the sample provide evidence that taking green tea extract reduces the risk of developing prostate cancer. (b) Find 98% confidence interval for the difference between two population proportions of men with PIN lesions who get prostate cancer after taking green tea extract and after taking placebo for a year. Interpret the C.I. result.
Hospital floors: Hospital floors are usually bare tiles instead of carpet. Carpets will decrease noise but might increase germ growth. To study this, researchers installed carpet in 8 of 16 hospital rooms. They randomly selected the rooms to carpet. The other rooms had bare tiles. After two weeks of normal use, they collected air samples from the rooms and counted the bacteria in each sample. Based on this description of the experiment, which of the following is a part of the experiment design? Check all that apply. Group of answer choices
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.9 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.) test statistic critical value
A psychologist has developed a mental alertness test. She wishes to study the effects (if any) of type of food consumed on mental alertness. Twenty-one volunteers were randomly divided into two groups. Both groups were told to eat the amount they usually eat for lunch at noon. At 2:00 P.M., all subjects were given the alertness test. Group A had a low-fat lunch with no red meat, lots of vegetables, carbohydrates, and fiber. Group B had a high-fat lunch with red meat, vegetable oils, and low fiber. The only drink for both groups was water. The test scores are shown below. Group A 75 82 96 54 78 59 67 53 97 85 66 Group B 70 80 79 60 62 71 52 69 64 88 51 74 Use a 10% level of significance to test the claim that there is no difference in mental alertness distributions based on type of lunch. (a) What is the level of significance?State the null and alternate hypotheses. Ho: Distributions are different. H1: Distributions are the same.Ho: Distributions are the same. H1:…
A researchers is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin: n=6, M=14, T=84, SS=60 Valerian: n=10, M=13, T=130, SS=90 Placebo: n=4, M=9, T=36, SS=37 N=20, G=250, x2=3377 Calculate the F-ratio

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