11) A group of eight individuals with high cholesterol were given a new drug that was designed tolower cholesterol levels. Cholesterol levels, in milligrams per deciliter, were measured beforeand after treatment for each individual, with the following results.a) Construct a 90% confidence interval for the meanreduction in cholesterol level. Make sure you explainhow the mean reduction was calculated.Individual Before After90% Confidence Interval:12832152299206327418742842125248178627521272931928277196b) A physician claims that the mean reduction in cholesterol level is more than 80 mm/dl.Does the confidence interval support this claim? Explain? (remember: to support "morethan 80" all values in the interval need to be more than 80)c) What are the hypotheses (Ho, H₁) for an equivalent hypothesis test? Note the claim.d) Run the test to find the P-value. Will the P-value lead to supporting this claim? Explain?

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Answered: 11) A group of eight individuals with…

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 psychologist is studying the effects of lack of sleep on the performance of various perceptual-motor tasks. After a given period of sleep deprivation, a measurement of reaction time to an auditory stimulus was taken for each of 36 adult male subjects. The reaction times (in seconds) are summarized as follows:x = 1.82, S=0.22. Find a 99% confidence interval for the mean reaction time for sleep-deprived male subject
The Bureau of Alcohol, Tobacco, and Firearms (BATF) has been concerned about lead levelsin California wines. In a previous testing of wine specimens, lead levels ranging from 50 to 700parts per billion were recorded. How many wine specimens (at the least) should be tested if theBATF wishes to estimate the mean lead level for California wines to within 10 parts per billionwith 95% confidence?
a. interpret the corresponding 95% confidence intervals for both Birth weight and Age. b. What is the predicted average SBP of an infant born with birth weight 8lbs (128oz) measured at 3 days old? c. Calculate the Pearson correlation between Age and Birth weight, and test if this correlation is significant at the 0.05 level. Does this answer surprise you, why or why not?
A researcher would like to know how much physical endurance is affected by a common herbal supplement. The researcher measures endurance for a sample of n = 9 participants. Each is then given a 30-day supply of the herbs and, one month later, endurance is measured again. For this sample, endurance increased by an average of MD= 6 points with SSD = 216. a. make a point estimate of the mean difference in endurance after taking the herbs. b. make a 95% confidence interval estimate of the population mean difference.
From a sample of 37 graduate students, the mean number of months of work experience prior to entering an MBA program was 36.63. The national standard deviation is known to be 19 months. What is a 90% confidence interval for the population mean? A 90% confidence interval for the population mean is 10 (Use ascending order. Round to two decimal places as needed.) ...
In a sample of seven cars, each car was tested for nitrogen oxide emissions (in grams per mile). The results appear below. Assuming that nitrogen oxide emissions are normally distributed, 4. Car 1 2 3 4 5 6 7 Nitrogen oxide emission (g/mi) 0.13 0.18 0.15 0.09 0.12 0.18 0.08 a. Construct a 95% confidence interval for the mean amount of nitrogen oxide emissions for all cars. b. What effect would increasing the level of confidence have on the length of the interval?
A professor was curious about her students' grade point averages. She took a random sample of 15 students and found a mean GPA of 3.01 with a standard deviation of 0.534. Which of the following formulas gives a 99% confidence interval for the mean GPA of the professor's students?
Here are summary statistics for randomly selected weights of newborn girls: n=217, x=31.7hg, s=6.5hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 29.6hg<μ<32.6hg with only 17 sample values, x=31.1hg, and s=2.4hg? What is the confidence interval for the population mean μ? hg < μ < hg (Round to one decimal place as needed.)
One method for measuring air pollution is to measure the concentration of carbon monoxide, or CO, in the air. Suppose Nina, an environmental scientist, wishes to estimate the CO concentration in Zagreb, Croatia. She randomly selects 45 locations throughout the city measures the CO concentration at each location. Based on her 45 samples, she computes the margin of error for a 95% t-confidence interval for the mean concentration of CO in Zagreb, in µg/m³, to be 4.28. What would happen to the margin of error if Nina decreases the confidence level to 90%? Nina increases the confidence level to 99%? Nina decreases the sample size to 33 locations? Nina increases the sample size to 65 locations? Answer Bank Increase Stay the same Decrease
You want to estimate the average difference in the number of complaints filed by women at work and the number of complaints filed by men at work. You took an SRS of 7 businesses and collected the following data for number of complaints in a year: men 1 3 2 4 6 3 5 women 8 7 6 3 5 12 15 Create a 90% confidence interval for the average difference in the number of complaints filed by women at work and the number of complaints filed by men at work (in a year). You must do this using table C. If this is a 2 sample interval, be sure to specify who is population 1 and who is population 2. If this is a matched pairs interval, be sure to state the order you subtracted your data. Once you create your interval, give a sentence explaining the meaning of the interval (what the numbers in the interval mean, NOT the meaning of 95%) in context of this problem. Round to any appropriate number of decimals.
Which type of confidence interval should you use in this situation? A sample of 25 different payroll departments found that the employees worked an average of 310.3 days a year with a standard deviation of 23.8 days. The distribution is approximately normally distributed. Find the 90% confidence interval for the average days worked of all payroll departments. Question 2 options: 1) a confidence interval for the mean using a table value from the standard normal distribution. 2) a confidence interval for the mean using a table value from the t distribution. 3) a confidence interval for a proportion using a table value from the standard normal distribution. 4) a confidence interval for proportion using a table value from the t distribution. 5) none of the above.
These are the numbers I am working with: Sample mean= 78 Population mean= 75 Standard deviation:=10 Significance level: .05 Critical value: Z score > 1.96 Z score= 1.34 How do I figure the confidence limits for the 95% confidence interval. Z-score= 1.34 P-value= .1802

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