Humans are known to have a mean gestation period of 280 days (from last menstruation) with a standard deviation of about 9 days. Ahospital wondered whether there was any evidence that their patients were at risk for giving birth prematurely. In a random sample of70 women, the average gestation time was 274.2 days.(a) Is the alternative hypothesis one-or two-sided?The alternative hypothesis is✓-sided.(b) What is the P-value of the test statistic?Round your answer to three decimal places (e.g. 98.765).P-value = 1

The sample size is 70, the sample mean is 274.2 days, the population mean is 280 days and population…

Answered: Humans are known to have a mean…

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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The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.8 pounds with a standard deviation of 0.95 pounds. In a recent study, a group of 55 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.9 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 55 individuals will be 1.9 pounds or less? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
Some battery manufacturers claim that the average battery life of the company is 240 hours. There is a theory in the quality department of the company that the lifespan is different from 240 hours. The Quality Department therefore decided to conduct an experiment to test this theory. A random sample of size 18 was taken and the lifespan was examined. The average life of the batteries examined was 237,056 hours and the standard deviation was 11,280. Battery life can be expected to follow a normal distribution.a) Find a 95% confidence interval for the average battery life.b) Examine with an appropriate hypothesis test whether the average battery life differs from 240 hours.sometimes. Use α = 0.05.
The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.8 pounds with a standard deviation of 1.05 pounds. In a recent study, a group of 45 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.73 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 45 individuals will be 1.73 pounds or more? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
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You are interested in studying the average gestational length of pregnancies among African American women in the United States to see if it is different from the rest of the US population. The population mean for gestational length is 39 weeks with a standard deviation of 2 weeks. You take a simple random sample of 22 African American women that gave birth in the last year and find that their mean gestational length is is 38.5 weeks. If you decide to conduct a two-sided test with α = .05. What is the power of this test?
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A psychologist has developed a new test to measure depression. Using a very large group of "normal" individuals, the mean score on this test is found to be p=55 and a population standard of o=12. The scores form a normal distribution. A researcher would like to use this test to evaluate a theory predicting that increased depression is a common part of the aging process. To test the theory, a sample of n=36 elderly people is obtained. The depression test is administered to each person, and the mean score for the sample is 59. Testing the hypothesis using a one-tailed test at 0.05 level of significance, do these data support the theory? You can answer "Yes" or "No". Do the 4-step process to determine the answer. Answer:

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