Suppose that a randomized comparative experiment studies the effect of diet on blood pressure. Researchers divide 54 healthywhite males at random into two groups. One group receives a calcium supplement, and the other group receives a placebo. At thebeginning of the study, the researchers measure several variables on the subjects. The average seated systolic blood pressure ofthe 27 members of the placebo group is reported to be = 114.9, with a standard deviation of s= 9.3.Give a 95% confidence interval for the mean systolic blood pressure of the population from which the subjects were recruited.Report your interval values to one decimal place.95% confidence interval:The recipe you used to calculate the 95% confidence interval requires an important assumption about the 27 men whoprovided the data. What is this assumption?The number of men in the in the placebo group are randomly chosen from the population of healthy white males.The subjects in the placebo group are a simple random sample (SRS) of healthy white males.The number of men in the placebo group are reasonably small enough sample to use the formula for a confidence

Answered: Image /qna-images/answer/8124d2d4-f6d6-4126-a906-de8afd80ac7a.jpg

Answered: Suppose that a randomized comparative…

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 physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
A researcher is interested in examining the difference in the average egg incubation temperature of two lizards in North Carolina, the native green anoles versus the invasive brown anoles. To investigate this, she takes two random samples from both of the lizard populations and calculates the average egg incubation temperature, standard deviation, and sample size for each of the two samples. The average incubation temperature for the 25 sampled brown anoles is 83.2 degrees Fahrenheit, with a sample standard deviation of 20.2 degrees Fahrenheit. The average incubation temperature the 28 samples green anoles is 80.1 degrees Fahrenheit, with a sample standard deviation of 17.4 degrees Fahrenheit. She has also determined that the two samples do not exhibit strong skewness and appear approximately normal. Determine the standard error for the 99% confidence interval for the difference between the true mean incubation temperatures for the two different anole species, μ1−μ2. Give your…
A researcher wonders whether the recession has changed variability in family size in his city. Before the recession, the mean was 3.7 and the standard deviation was 1.76. The researcher randomly selects 41 families from a population that is normally distributed. His sample has a mean of 3.1 and a standard deviation of 1.45. Test the claim that the standard deviation in size has changed at the αα=.05 significance level.
Sony would like to test the hypothesis that the average age of a PlayStation user is different from the average age of an Xbox user. A random sample of 32 PlayStation users had an average age of 33.7 years while a random sample of 36 Xbox users had an average age of 35.6 years. Assume that the population standard deviation for the age of PlayStation and Xbox users is 3.7 and 3.5 years, respectively. Sony would like to set alpha is 0.10. The critical value for this hypothesis test would be
In a class of twenty-five 15-year old girls the average height is M = 62.60 inches. The national average for girls at this age is reported as follows: µ = 63.80 inches with a standard deviation, s = 2.66 inches. 1. What is the effect size Cohen’s d and what does it tell us about the effect? 2. Compute the z-statistic.
An investigation is performed to evaluate two new experimental treatments for allergies. 18 subjects who suffer from allergies are enrolled in the study and randomly assigned to one of three treatments: Control Group, Experimental Treatment 1, or Experimental Treatment 2. Each subject is instructed to take the assigned treatment, and symptoms of allergies are recorded on a scale of 1 to 20, with higher scores indicating worse symptoms. The data is summarized in the table below: SBP Std. Deviation Group Mean Control Treatment 6. 16.17 2.483 Experimental Treatment 1 6. 11.33 1.966 Experimental Treatment 6. 3.83 1.472 Total 18 10.44 5.554 Use this data to complete an ANOVA table to test for a significant difference in the means of each of the groups. Round all answers to the third decimal point.
In 2006, the Arundel County Maryland Department of Health tested local wells for elevated levels of arsenic. They found that 35 out of 71 wells showed elevated levels. Atomic Absorption Spectroscopy is a very convenient way to measure arsenic in water. Imagine you are a lab manager and you have given identical arsenic samples (n = 10) to two different technicians. The first technician determines his sample has a standard deviation of 0.015 while the second technician reports a standard deviation of 0.033. Construct a 90% confidence interval for the ratio of the sample standard deviations. Assume the population source data is normally distributed. Enter your answer using interval notation.
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players’ salaries and 35 football players’ salaries is selected. The mean salary is determined for both samples. Let represent the difference in the mean salaries for baseball and football players. Which of the following represents the shape of the sampling distribution for ? skewed right since the populations are both right skewed skewed right since the differences in salaries cannot be negative approximately Normal since both sample sizes are greater than 30 approximately Normal since the sum of the sample sizes is greater than 30

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