Section D: A research team believes that the systolic blood pressure of adult males is normally distributed with apopulation variance equal to 400. A simple random sample of 36 males selected from the adult male population had amean systolic blood pressure reading of 130. Let u denote the mean systolic blood pressure of adult males. Suppose theresearch team wants to test, at the 5% level of significance, whether the mean systolic blood pressure of adult males isnot equal to 135. Suppose the assumptions of this hypothesis test are satisfied. 16. What is the p-value for the hypothesis test stated in the preamble of Section D?O 0.00620.13360.06680.0124

Given information Sample mean x̅ = 130 Population mean µ = 135 Sample size n = 36 Population…

Answered: Section D: A research team believes…

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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3. A study was conducted to determine whether the type of patient care (full-time, part-time) is associated with the restless behaviors of elderly individuals in need of care. The data are given in the table below. Is there a difference in restless behavior periods between individuals in full-time and part-time care? (Variances are considered homogeneous, a = 0.05). Group Restless behavior Group Restless behavior time (hours) time (hours) Full time Part time 1 Full time 3 Part time Full time 4 Part time 4 Full time 1 Part time 4 Full time 2 Part time 2 Full time Part time Full time 2
The psychology department is gradually changing its curriculum by increasing the number of online course offerings. To evaluate the effectiveness of this change, a random sample of n = 36 students who registered for Introductory Psychology is placed in the online version of the course. At the end of the semester, all students take the same final exam. The average score for the sample is M = 76. For the general population of students taking the traditional lecture class, the final exam scores form a normal distribution with a mean of μ = 71. If the final exam scores for the population have a standard deviation of σ = 18, does the sample provide enough evidence to conclude that the new online course is significantly different from the traditional class? Again, use a two-tailed test with α = .05. (Round z score to two decimal places.)
An ecologist is studying the impact of local polluted waters on the growth of alligators. The length of adult male alligators typically follows a normal distribution with a standard deviation of 2 feet. The ecologist wants to estimate the mean length of this population of alligators. Suppose she samples n alligators at random and uses the sample mean, X to as an estimator for u. a. What is the bias and variance of the estimator? (Note, these may be a function of n.) b. If n = 4, what is the probability that the estimator is within one foot of the true mean? (I.e. find P(|X – µ| < 1). c. What sample size, n, is required for the estimator to be within one foot of the true mean with 95% probability? (I.e. find the value of n that satisfies P(|X – µ| < 1) = 0.95.) d. Suppose the ecologist ends up sampling n = 9 alligators and calculates a sample mean of ī = 10.4 feet. Construct a 95% confidence interval for the population mean. e. Give an interpretation for the interval obtained in (d).
can you fill in the blanks
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 was interested in comparing the mean grade-point-average (GPA) of students at the University of Toronto Scarborough and Mississauga campuses. Independent random samples of 8 students from the Scarborough campus and 13 students from the Mississauga campus yielded the following GPAs. You can assume the data in each group follow a normal distribution. Do the data provide sufficient evidence to conclude that the mean GPA of students at the Scarborough campus different from the mean GPA of students at the Mississauga campus? A. What statistical test is most appropriate to answer this question? B. Identify the relevant assumptions and conditions. State how these have or have not been met. C. Write an appropriate null and alternative hypothesis for this question.
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