To test whether the failure rate of an exam is the same for both males and females, researchers gathered data andcalculated a 95% confidence interval for the difference between the failure rates of male students and female students tobe (-0.155, 0.148). Do the data provide sufficient evidence to conclude that the two failure rates are different? Assume a =0.05.Select one:O Since the interval has only positive numbers, the two proportions are not different.Since the interval contains zero, the two proportions may not be different.O Since the interval contains zero, the two proportions are different.O Since the interval does not contain zero, the two proportions are the same.O Since the interval does not contain zero, the two proportions are different.

Based on confidence interval we have to conclude about the difference between means if it's same or…

Answered: To test whether the failure rate of an…

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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A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 4 points with 99% confidence assuming s=10.7 based on earlier studies? Suppose the doctor would be content with 95% confidence. How does the decrease in confidence affect the sample size required?
A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence assuming s=13.4 based on earlier studies? Suppose the doctor would be content with 95% confidence. How does the decrease in confidence affect the sample size required?
Echinacea is widely used as an herbal remedy for the common cold, but does it work? In a double-blind experiment, healthy volunteers agreed to be exposed to common-cold-causing rhinovirus type 39 and have their symptoms monitored. The volunteers were randomly assigned to take either a placebo or an echinacea supplement daily for 5 days following viral exposure. Among the 103 subjects taking a placebo, 88 developed a cold, whereas 44 of the 48 subjects taking echinacea 1 developed a cold.
A retrospective study of 100 pairs of twins was performed. The twin pairs each had one male child and one female child. Their birth weights were studied to determine if the male twin was consistently heavier. The difference in weights was calculated by subtracting the female weight (in ounces) from the male weight (in ounces): d=xm−xfd=xm-xf After looking at 100 pairs of twins, the study finds the 95% confidence interval for the mean difference of weights (in ounces) is: 1.9 < μdμd < 6.7 Can we be reasonably sure that the male twins are heavier than the females? Yes No Why or why not?
A researcher surveys a group of college students to determine the negative life events that they experienced in the past 5 years and their current feeling of well-being. For N = 18 participants with 2 or fewer negative experiences, the average well-being score was X = 42 with SS = 398. For the N = 16 participants with 5 to 10 negative experiences the average score is X = 48.6 with SS = 370. Construct a 95% confidence interval for the difference between the population means for the two groups.
A researcher wants to estimate the true proportion of Americans who suffer side-effects after taking a particular medication. A 99% confidence interval for the true proportion of Americans who suffer side-effects after taking the particular medication was found to be (0.024, 0.160). If a hypothesis test is conducted with the hypotheses, H,: p = 0.10 vs H: p# 0.10 , what would be the most likely conclusion? Select one: a. There is very strong evidence that p 0.10. Ob. There is little to no evidence that p = 0.10. c. There is little to no evidence that p # 0.10. d. Cannot tell.
A researcher was interested in comparing weekly salaries between men and women. Independent samples were drawn to find the average salary for each group. A 90% confidence interval for the difference between female and male employees was determined to be (-$110, $10) in a given week. Interpret the confidence interval Zero is contained in the interval so the probability that male employees earn the same as females is 0.9. 90% of the time, women earn less than men. ore per ek Based on these data, we would assume that female employees average between $110 and $10 than male employees O We are 90% confident that men earn between $110 less or $10 more than women in a given week.
A researcher investigated whether the temperature of milk, x, can be used to predict the milk's pH content, y. She predicted the pH level of a glass of milk with a temperature of 8.45 degrees to be ŷ= 6.795 a)A 95% confidence interval for the mean pH of all milk with temperature 8.45 degrees is calculated to be (6.76, 6.83). Which of the following is the correct interpretation of this confidence interval? -The mean pH level for all glasses of milk having a temperature of 8.45 degrees is somewhere between 6.76 and 6.83, with 95% confidence. -The pH level for one glass of milk with a temperature of 8.45 degrees is somewhere between 6.76 and 6.83, with 95% confidence. -There is a probability of 0.95 that the mean pH level for this glass of milk with temperature 8.45 degrees is between 6.76 and 6.83. -95% of all glasses of milk with a temperature of 8.45 degrees have a pH level between 6.76 and 6.83. b)Suppose we have a glass of milk whose temperature is 8.45 degrees. We…

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