Hypothesis Testing1.A random sample of 250 patients from a hospital (Y) has a weight of 132 pounds. Fromprevious experience, the standard deviation of weights in this hospital is at 25 pounds. Anotherhospital (Z), meanwhile, provided a random sample of 300 patients with a mean of 120 poundsand standard deviation of 45 pounds. Is there a significant difference between the two hospitalsin terms of population mean weight, at 0.10 level of significance?

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Answered: Hypothesis Testing 1. A random sample…

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 physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
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.
What is the Z score for the X value of 6 in a Distribution of 100 observationswith a Mean of -10 and a Variance of 16?
2) In the population, IQ scores are normally distributed with a mean of 100 and standard deviation of 15. We repeatedly pulled random samples of 50 individuals from the population and measured their IQ and the resulted mean was 92 with a standard deviation of 8. Test at a =0.05 significance if there is any statistically significant difference in the variance of the result. D. Focus DELL
The Department of Agriculture wants to determine whether the mean yield per acre for a particular variety of soybeans is different this year compared to the historical avg yield of 520 bushels per acre. Thus, the null and alternative hypotheses are Ho: mu = 520 Ha: mu is not = to 520 You set out to conduct a hypothesis test at the 95% level. Mean yields are distributed Normally. You take a sample of 36 different acres. From this sample, you calculate a mean yield of 573 and a std deviation of 24. Do you reject or not-reject the null hypothesis? Group of answer choices Do not reject the null hypothesis. Reject the null hypothesis.
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%?
13
A group of students (large group) took a test in mathematics and the final scores have a mean of 68 and a variance of 100. If the distribution of these scores is approximately normal, then what percent of the students: i. Scored higher than 75? Should pass the test (scores > 65)? Should fail the test (scores < 65)? ii. iii.
9. You are an agricultural consultant researching the effect of different ground surfaces for dairy cattle. On a particular farm, the cow stalls are covered with straw, and the farm produces an average of 750 gallons of milk per day. The farmer is interested in knowing whether he can increase his milk yield by swapping out the straw for cow waterbeds. After making the switch, the farmer measures his yield on 18 days, finding a sample mean of 810 gallons and a sample standard deviation of 80 gallons. a) Carry out a hypothesis test to ask whether the mean yield from cows on waterbeds is greater than the mean yield for cows on straw, using a = 0.01. Be sure to carry out all of the steps of a hypothesis test, and phrase your conclusion in a way that will be useful to the farmer.
HYPERTENSION. The data below was collected from over 200 infants at 1 month of age. In this study a research nurse visited the home of each child and took their blood pressure using a special apparatus for measuring infant bp. She also noted whether the infant was asleep or awake and whether or not the child was agitated when the bp was taken. Assuming equal variances, is there a significant mean difference in SBP between the quiet sleep infants and the awake and quiet infants? 1. What is the appropriate test to conduct in the above situation? 2. What is the degree of freedom? 3. What is the computed test statistic? 4. What is the correct conclusion for this test? 5. What can be implied from the conclusion above?
A sample of n = 9 scores has a variance of s2 = 144. What is the standard deviation for this sample?

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