Exercise 3Suppose a new drug is available for treating high blood pressure. We want to investigateits effect by running a controlled experiment:• We randomly select some patients with high blood pressure and randomly divide theminto two groups, Group A and Group B.1• We then give the actual drug to patients in Group A and a placebo (i.e. non-harmfulfake drug) to patients in Group B.Let X be the amount of blood pressure reduction in a patient taking the new drug, andY the amount of blood pressure reduction in a patient taking the placebo. Assume thatX ~ Nux, 12) and Y N(μy, 8). How many patients (in total) do we need to selectfor participation in this experiment, if we want to construct a 95% confidence interval forx-μy with length < 2?

Given that X~N(μx, 12) and Y~N(μy, 8) length of 95% C.I.≤2. Note we have to assume that the…

Answered: Let X be the amount of blood pressure…

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

The age when smokers first start from previous studies is normally distributed with a mean of 13 years old with a population standard deviation of 2.1 years old. A survey of smokers of this generation was done to estimate if the mean age has changed. The sample of 22 smokers found that their mean starting age was 13.8 years old. Find the 90% confidence interval of the mean.
We want to test the hypothesis that there is a significant difference between the mean BMI of regular soda drinkers in 2015 and 2018. The mean BMI for regular soda drinkers in 2015 was 26.5. In 2018, the researcher gathered a sample of 62 regular soda drinkers, measuring their BMIs and found the average BMI was 29 with a SD of 5.5. Conduct a hypothesis test at 0.05 alpha level. Determine our test statistic, pvalue and conclusion.
A random sample of size n1=25 taken from normal population with standard deviation =5.2 has mean x(bar) =81.A second random sample of size n2=36 taken from different population with standard deviation 3.4 has a mean x(bar)=76.test whether the difference between population means is significance.
The mean number of eggs per person eaten in the United States is 242. Do college students eat less eggs than the average American? The 59 college students surveyed averaged 240 eggs per person and their standard deviation was 52.2. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion, t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer ≠ = > < H1:H1: ? μ p Select an answer < ≠ = > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer fail to reject reject accept the null hypothesis. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly less than 242 at αα = 0.10, so there is statistically insignificant…
Having data normally distributed, means that how much of the data will lie between ± 1 standard deviation? What is the percent confidence interval for having data within ± 3 standard deviation?
A sample of 20 fossil skeletons of an extinct species of bird has been collected. The mean length of the skulls in this sample is 6.2 cm and the standard deviation of the sample is 0.35cm. Assuming that such measurements are normally distributed, find a 90% confidence interval for the population mean length of the skulls of this species of bird. You may want to use one of these: qt (p=0.10, df-19, lower.tail=FALSE)=1.327728 qt (p=0.05, df-19, lower.tail=FALSE)=1.729133 qnorm(0.10, mean=0, sd=1, lower.tail=FALSE) =1.281552 qnorm(0.05,mean=0, sd=1, lower.tail=FALSE)=1.644854 O(6.065, 6.335) (5.624, 6.776) (5.751, 6.649) (5.595, 6.805)
In the general population, height is normally distributed with a mean of 168.7 cm and a standard deviation of 11.2 cm. You wish to examine whether the basketballers at your local sports and recreation centre differ in height than the general population. You sampled 28 basketballers and measured their height which gave you a mean of 189.8 cm and a standard deviation of 8.5 cm. Calculate the upper limit of the 99% confidence interval. Give your answer to 2 decimal places.
Julia enjoys jogging. She has been jogging over a period of several years, during which time her physical condition has remained constantly good. Usually, she jogs 2 miles per day. The standard deviation of her times is ?=1.8σ=1.8 minutes. She has a random sample of 90 runs. For these 90 times, the sample mean was 15.61 minutes. Find an 80% confidence interval for the population mean time for Julie to run 2 miles.
3. Overproduction of uric acid in the body can be an indication of cell breakdown. Over a period of clam 2 months, an adult male patient has taken eight blood tests for uric acid. The mean concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be sono normal, with σ = 1.86mg/dl. Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error?
The mean number of eggs per person eaten in the United States is 253. Do college students eat less eggs than the average American? The 69 college students surveyed averaged 230 eggs per person and their standard deviation was 78.3. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer ≠ > < = H1:H1: ? μ p Select an answer > < ≠ = The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer reject fail to reject accept the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean is not significantly less than 253 at αα = 0.01, so there is statistically insignificant…
Now suppose we take a random sample of 20 CU Boulder students and find that the sample mean for amount of time spend each week engaged in coursework is x = 31.4 hours. Let's further assume the population standard deviation is still o = 2.8 hours. 5. Construct a 90% confidence interval for the true mean time that CU Boulder students spend each week engaged in coursework. In addition to the interval estimate, your solution should include the values for za/2' the standard error O and the margin of error ( Za, 6. Based on your confidence interval above, is it reasonable to say CU Boulder students spend more time engaged in coursework each week compared to CU Denver students? EXPLAIN. 7. Use the t-table and/or Excel to complete the table below. Confidence Level df Za/2 ta/2 2 90 0.10 35 95 28 98 61 99 19
The average score that can be obtained on a standardized test at your school is114with a standard deviation of 16. You are a reporter for the school newspaper and you want to know if thetypical deviation, o,Student athletes are different. To find out, he surveys a random sample of 18student athletes and determines that for the sample, the mean score is112with a standard deviation of 12.If we assume that the scores that the student athletes obtained follow an approximately normal distribution, is there enough evidence to conclude, at the significance level of0.05, which standard deviation is higher among student athletes? Perform a two-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish 1' ho: p = 16 0 (b) (c) (d) h :p # 16 1 Determine which type of test statistic to use. chi-square Z you chi-square Degrees of…

SEE MORE QUESTIONS

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