**8.131 Sleep.** In 1908, W. S. Gosset published the article “The Probable Error of a Mean” (*Biometrika*, Vol. 6, pp. 1–25). In this pioneering paper, written under the pseudonym “Student,” Gosset introduced what later became known as Student’s t-distribution. Gosset used the following data set, which gives the additional sleep in hours obtained by a sample of 10 patients using laevohyoscyamine hydrobromide.**Data Set (Additional Sleep in Hours):**- 1.9, 0.8, 1.1, 0.1, -0.1- 4.4, 5.5, 1.6, 4.6, 3.4**Questions:**a. Obtain and interpret a 95% confidence interval for the additional sleep that would be obtained on average for all people using laevohyoscyamine hydrobromide. *(Note: \(\bar{x} = 2.33\) hr; \(s = 2.002\) hr.)*b. Was the drug effective in increasing sleep? Explain your answer.

Solution: Given information: n= 10 Sample size x= 2.33 hr Sample mean s= 2.002 hr Sample standard…

Answered: 8.131 Sleep. In 1908, W. S. Gosset…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Question 8: A 1991 survey of 1984 graduates of different colleges in the East of the U.S., respondents were asked their 1990 income. Sub-samples of 1,017 employed graduates of liberal arts colleges and 374 employed graduates of large state universities have the following means and standard deviations for 1990 income (in thousands of dollars): Mean Std. Dev. n Liberal arts 33.879 25.369 1,017 college Large state university 28.630 22.750 374 Test the (alternative) hypothesis that graduates of liberal arts colleges earn more than graduates of large state universities against the null hypothesis of no difference in their earnings. (Use a 5% level of significance. Do not assume that the variance of earnings of liberal arts college graduates is equal to the variance of earnings of graduates from large state universities). Show all four steps.
Chapter 5, Section 2, Exercise 043 Hearing Loss in TeenagersA recent study1 found that, of the 1771 participants aged 12 to 19 in the National Health and Nutrition Examination Survey, 19.5% had some hearing loss (defined as a loss of 15 decibels in at least one ear). This is a dramatic increase from a decade ago. The sample size is large enough to use the normal distribution, and a bootstrap distribution shows that the standard error for the proportion is SE=0.009.Find a 95% confidence interval for the proportion of teenagers with some hearing loss.Round your answers to two decimal places.The 95% confidence interval is to .
9.13 Given a sample size of 36, how large does the population standard deviation have to be in order for the standard error to be A. 1? B. 2? C. 5? D. 100?
Brain Weights. In 1905, R. Pearl published the article “Biometrical Studies on Man. I. Variation and Correlation in Brain Weight” (Biometrika, Vol. 4, pp. 13–104). According to the study, brain weights of Swedish men are normally distributed with a mean of 1.40 kg and a standard deviation of 0.11 kg. a. Determine the sampling distribution of the sample mean for samples of size 3. Interpret your answer in terms of the distribution of all possible sample mean brain weights for samples of three Swedish men. b. Repeat part (a) for samples of size 12. c. Construct graphs similar to those shown in Fig. on page 321. d. Determine the percentage of all samples of three Swedish men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.40 kg. Interpret your answer in terms of sampling error. e. Repeat part (d) for samples of size 12. FIGURE (a) Normal distribution for IQs; (b) sampling distribution of the sample mean for n = 4; (c) sampling distribution of the sample…
An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariate data on twelve recent campaigns, including the cost of each campaign (denoted by x , in millions of dollars) and the resulting percentage increase in sales (denoted by y ) following the campaign, were presented by the firm. A scatter plot of the data is shown in Figure 1. Also given are the products of the values for campaign cost and values for percentage increase in sales for each of the twelve campaigns. (These products, written in the column labelled " xy ," may aid in calculations.) Campaign cost, x(in millions of dollars) Increase in sales, y(percent) xy 3.18 6.49 20.6382 3.77 6.80 25.636 2.27 6.55 14.8685 2.30 6.79 15.617 2.06 6.50 13.39 3.79 7.09 26.8711 1.53 6.60 10.098 1.29 6.46 8.3334 1.58 6.17 9.7486 3.14 6.56 20.5984 2.86 6.84 19.5624 3.59 6.83 24.5197…
3.2/4
5. An article in Agricultural Engineering (December 1964, pp. 672-673) described an experiment in which the daily weight gain of swine is evaluated at different levels of housing temperature. The mean weight of each group of swine at the start of the experiment is considered to be a nuisance factor. The data from this experiment are as follows: Mean Weight (lbs) Housing Air Temperatures (°F) 100 50 60 70 80 90 1.37 1.58 2.00 1.97 1.40 100 0.39 150 1.47 1.75 2.16 1.82 1.14 -0.19 200 1.19 1.91 2.22 1.67 0.88 -0.77 Does housing air temperature affect mean weight gain at a = 0.05?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS