4. A survey of 35 adult Americans found the mean age (in years) thatpeople would like to live is 87.9 years with a standard deviation of 15.5years. The population is known to be normally distributed with variance16.a) Construct a 98% confidence interval for the true mean ageAmericans want to live.b) Suppose a philosophy professor wishes to test the hypothesesHo: u = 84H1: u + 84Use your confidence interval from part a to test the null hypothesis atthe .02 significance level.

Given: n=35x¯=87.9s=15.5σ2=16

Answered: 4. A survey of 35 adult Americans found…

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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In a study of 110 women and 116 men, it was found that mean body temperature for women was 97.690 F and mean body temperature for men was 97.450 F. Assume that the populations are independent, and the standard deviations were found to to be 0.89o F for women, and 0.660 F for men. Use an α = 0.05 significance level to test the claim that woman and men have different mean body temperatures. For full credit your hypothesis test must include: the claim, the null and alternate hypothesis, your test statistic and corresponding p-value, your decision, and the interpretation of your decision as it relates to the claim. It is acceptable to use technology to calculate the test statistic and the p-value here.
True or false: To construct a confidence interval about a population variance or standard deviation, either the population from which the sample is drawn must be normal, or the sample size must be large.
A manufacturer of bolts has a quality control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. A sample of 15 bolts were tested and their variance was recorded to be 10. Stating any assumptions you need to make, test, at the 5% level, whether the bolts are meeting the established standard.
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Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about µ = 28 ml/kg with a standard deviation of 4.75ml/kg. Red blood cells volume that is too low or too high can indicate a medical problem. Suppose he does a hypothesis test with a significance level of 0.01. Roger has had seven blood tests and the red blood cell volumes were: 32 25 41 35 30 37 29 Roger’s null hypothesis is that his blood tests are normal and that his alternative hypothesis is that something is wrong. Symbolically, the null and hypotheses are as follows Ho: µ = 28 ml/kg and Hi: µ ≠ 28 ml/kg What value of the test statistic (z) should he report? (Sampling a Normal Distribution for the Mean µ) Group of answer choices a. 0.99 b.2.42 c.2.62 d.2.22
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10.
The mean change in muscle thickness observed after a 4-week training regimen was 4 mm, and the 95% confidence interval (CI) for mean change was (-0.5, 8.5). Which is the best scientific conclusion for the effectiveness of this regimen ?
pounds, with a standard deviation of 15.81 pounds. At the 0.05 level of significance, test the claim that the weights of football players have a greater variance than the weights of baseball deviation of 40.09 pounds. A random sample of 25 baseball players had a mean weight of 202.9 6. A random sample of 48 football players had a mean weight of 246.6 pounds, with a standard ith a players. ie th sufficient evidence to conclude that Step 5: There
2. A common claim is that garlic lowers cholesterol levels. In a test of the effectiveness of garlic, 49 subjects were treated with doses of raw garlic, and their cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol have a mean of 0.4 and a standard deviation of 21. Use the sample n = 49 to construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. n=49₁ x=0,4₁ 5=21₁ CL = 95%, df=n-1 df=49-1=48
We want to estimate the mean distance travelled to work by employees of a large manufacturing firm. Past studies indicate that the variance of these distances is 4.0 km2and that the distances follow a normal distribution. How many employees should be chosen at random and polled if the estimated mean distance is to be within 0.1 km ofthe true mean with a confidence level of 95%?

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