3. You want to determine the effectiveness of a novel cancer therapy, RS7, in treating lung cancer. Youcultured lung cancer microtissues in cell culture plates with equal numbers of cells per well. Youexposed plate 1 to the novel drug and left plate 2 untreated (control). You analyzed both plates usingflow cytometry and propidium iodide to identify live and dead cells. The results below represent thenumber of viable cells. Using a t-test, determine whether RS7 reduces the viability of lung cancer cells.Plate 1 (RS7):X1 = 65,434X2 = 70,250Plate 2 (control):X'1 = 80,760 X'2 = 78,562X3= 63,962X'3=81,435X4= 61,030X'4 = 75,650X5= 60,572X'5 = 77,112 C) To compare the 2 groups, calculate:i) The difference between the meansii) The standard error for the differenceiii) t-value

Given the data as Plate 1 (RS7) Plate 2 (Control) 65434 80760 70250 78562 63962 81435…

Answered: 3. You want to determine the…

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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I want to assess whether or not students produce more stress hormones (cortisol) after watching different types of movies. I collect saliva samples (to assess cortisol, stress) from students after they watch an action movie and then another (two days later) after they watch a horror movie. The amount of stress hormone in the saliva is measured as ng/mL.Test the hypothesis that saliva cortisol levels will be different between the two genres of movies at an alpha of 0.05. (Have action - horror be set for your differences). a. What is the null hypothesis? b. What is the alternative hypothesis? Data: Action Movie Horror Movie 10 12 -2 15 18 -3 16 17 -1 20 21 -1 24 22 2 24 23 1 26 27 1 13 16 -3 18 20 -2 19 23 -4 20 15 5 24 25 1
Air pollutants common in U.S. cities include fine particulate matter (PM) and ozone (O3). PM is measured as “inhalable” particles 10 micrometers in diameter or “fine inhalable” particles 2.5 micrometers in diameter. Suppose that studies show, for a particular region, that cities exceed PM2.5 standards 20% of the time and exceed ozone standards 10% of the time. Assume that PM2.5 and ozone measurements are statistically independent. A) Determine the probability that a city, selected at random, exceeds one of the standards. B) If a city exceeds the standards, what is the probability that it exceeds only the PM2.5 standard?
Natalie conducted a study on the effects of triclosan on three algae populations. She collected an algae sample from three different ponds, counted the number of algae cells present in the sample, and then exposed them to a 5 ppm aqueous solution of triclosan and re-counted the number of algae cells in each sample. Using a paired t-test, she obtained a p-value of 0.083 when comparing the original algae population sizes to the population sizes after exposure to triclosan. Natalie concluded that triclosan is toxic to algae because her data for the three samples showed a trend toward a reduction in population size. What could Natalie do to show a statistically significant effect of triclosan on algae population size? Justify your response.
A pharmaceutical company wanted to study the effectiveness of a new hair growth product in women. It recruited 1100 random women from the L.A. area and measured the length of their hair. They gave 500 women the new product in unmarked bottles to use over a 6-month period. The other 600 women received unmarked bottles with mostly water and fragrance to use over a 6-month period. None of the women knew which product they received. They found that 450 out of 500 women that received the new product showed hair growth of 1-2 inches. Only 90 out of 600 women that used the water/fragrance combination showed hair growth of 1-2 inches. What percentage of women that received the treatment showed hair growth of 1-2 inches? Answer: 450/ 500= 0.9= 90%
3. You want to determine the effectiveness of a novel cancer therapy, RS7, in treating lung cancer. You cultured lung cancer microtissues in cell culture plates with equal numbers of cells per well. You exposed plate 1 to the novel drug and left plate 2 untreated (control). You analyzed both plates using flow cytometry and propidium iodide to identify live and dead cells. The results below represent the number of viable cells. Using a t-test, determine whether RS7 reduces the viability of lung cancer cells. Plate 1 (RS7): X1 = 65,434 X2 = 70,250 Plate 2 (control): X'1 = 80,760 X'2 = 78,562 X3= 63,962 X'3=81,435 A) State the null hypothesis (Ho): X4= 61,030 X'4 = 75,650 X5= 60,572 X'5 = 77,112
b) Suppose you are given the following information for an OLS regression: Σχι X; Y = 830102,T = 22,x=416.5, y = 86.65, x = 3919654, RSS = 130.6 i) Calculate the ordinary least square regression line. Calculate SE (a) and SE (B) Perform the hypothesis test such that Ho: a = -60 versus H₁: α = -60 Perform the hypothesis test such that Ho: P = 0.4 versus H₁: B = 0.4 In both cases use a significance of 5%. ii) iii) iv)
The average yield of soybeans in Ohio is 58 bu/Acre (the control mean). We wish to test whether a field that has been treated with the product has soybean yields that are different than 58 bu/acre. We are going to conduct a study with 49 fields and set up the hypothesis at α=.05. After we conduct the experiment we get a sample mean x = 60 bu/Acre and s=7 bu/acre. Conduct the test. Z=____________
Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). (units: mm Hg/10) (units: mm Hg/10) 6.5 5.4 4.2 3.3 2.1 y 43.6 32.3 26.2 16.2 13.9 Ex = 21.5, Ey = 132.2, Ex² = 104.35, Ey2 = 4086.34, Exy = 650.51, and r= 0.978. %3D Ex 21.5 Ey 132.2 Ex2 104.35 Ey2|4086.34 Exy 650.51 r 0.978 Use a 1% level of significance to test the claim that p > 0. (Use 2 decimal places.) critical t Verify that S. - 2.9006, a = -3.208, and b = 6.895. e Se a b Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x…
I want to assess whether or not students produce more stress hormones (cortisol) after watching different types of movies. I collect saliva samples (to assess cortisol, stress) from students after they watch an action movie and then another (two days later) after they watch a horror movie. The amount of stress hormone in the saliva is measured as ng/mL.Test the hypothesis that saliva cortisol levels will be different between the two genres of movies at an alpha of 0.05. (Have action - horror be set for your differences). Data: Action Movie Horror Movie 10 12 -2 15 18 -3 16 17 -1 20 21 -1 24 22 2 24 23 1 26 27 1 13 16 -3 18 20 -2 19 23 -4 20 15 5 24 25 1 What is the obtained t value? What conclusion do you draw?
We wish to test an effect of a drug that claimed to improves the patients with 80% of chance. The drug is given to 20 patients and we observed the number Y of people who improved. The hypothesis is Ho :p = 0.8 vs Hị : p< 0.8. Use the rejection region RR = {y< 12} and answer question a-e.
Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. %3D Everest climbers (summit 29,028 feet). (units: mm Hg/10) (units: mm Hg/10) 7.3 4.6 4.2 3.3 2.1 42.4 31.7 26.2 16.2 13.9 (a) Verify that Ex = 21.5, Ey = 130.4, Ex = 107.39, Ey = 3944.74, Exy = 648.03, andr 0.969. Σχ 21.5 %3D %3D Ey 130.4 Ex2 | 107.39 Ey2 3944.74 Exy 648.03 r0.9686 (b) Use a 10% level of significance to test the claim that p > 0. (Use 2 decimal places.) t 6.79 critical t 1.6377 Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is…
Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). x 6.9 5.3 4.2 3.3 2.1 (units: mm Hg/10) y 42.4 33.5 26.2 16.2 13.9 (units: mm Hg/10) (g) Find a 90% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit upper limit

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