Y¯ be the means of
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Suppose that X¯, Y¯ be the means of 2
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- A medical team was asked to study the difference in systolic blood pressure (BP) between men (µ1) and women (µ2) with heart trouble. The BP measurements are normally distributed. The variance of the men’s group is equal to that of the women’s group. For a random sample of 4 men, thesample average is 175 and the sample standard deviation is 16. For a random sample of 5 women, the sample average is 145 and the sample standard deviation is 12. Assuming independent populations with equal variances, what is the value of the test statistic? 6.16 1.75 3.23 1.91A medical team was asked to study the difference in systolic blood pressure (BP) between men (µ1) and women (µ2) with heart trouble. The BP measurements are normally distributed. The variance of the men’s group is equal to that of the women’s group. For a random sample of 4 men, thesample average is 175 and the sample standard deviation is 16. For a random sample of 5 women, the sample average is 145 and the sample standard deviation is 12. What is the 95% confidence interval estimate for the difference between the two means? 8.02 to 51.98 5.05 to 34.05 −4.20 to 33.20 −0.65 to 29.65The personality variable extraversion is normally distributed in the population and has a mean of 10 and a standard deviation of 2. Researchers consider individuals who are 1 standard deviation above the mean “highly” extroverted. What is the probability that you can randomly sample 3 people from the population and all 3 would be “highly” extroverted? Show relevant work.
- A patient is classified as having gestational diabetes if her glucose level is above 155 milligrams per deciliter (mg/dl) one hour after a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the normal distribution with �=140 mg/dl and �=12 mg/dl. Suppose Sheila repeats this process on three separate randomly selected days. What sample mean blood glucose level is higher than 95% of all other sample mean blood glucose levels? Use 2 decimal places.Suppose, you are running an experiment that has two outcomes, namely 'success' and 'failure'. You intially don't know the probability of success in a single experiment. But you know that, if you continue to run the experiment several times, the expected number of experiment required for the first success is 25. What is the variance of the number of experiments required for the first success?Suppose that X1, X2, X3 and X4 are all independent random variables, each with a normal distribution with mean 9 and variance 25. Define X-bar = (X1 + X2 + X3 + X4) / 4. Find Prob(X-bar > 10).
- We are running a hypothesis test to see if blood pressure of African zebras differs significantly from Arabian horses. We assume blood pressure in both populations is normally distributed and both populations have the same population variance in blood pressure which is unknown to us, so we use the sample variances to estimate the standard error for our calculations. We have a sample of size 9 for the African zebras with mean 180 and a sample of size 16 for the Arabian horses with mean 190. If the pooled variance is 36, then what is the standard error estimate for the estimator of the true mean difference in weight for the two populations? 15 NONE OF THE OTHERS 1.25 1.57 2.5The life of a certain type of electronic component isnormally distributed with mean=220 hours deviation of 25 hours. Do you agree that the probability that the mean life of sample of 20 components will be greater than 225 hours will be higher than probability that themean life of a sample of 40 components will be greater than to 225 hours? Show by calculations.X is the number of red marbles that Suzan has in her hand after she selects 5 marbles from a bag containing 5 red marbles and 2 green ones. expected value variance standard deviation
- Rods are produced in large quantities in a factory. The masses of these rods are normally distributed with mean 250g and variance 9g. A random sample of 100 rods is selected. Find the probability that the mean mass of the rods in the sample will lie between 249g and 251g. If the rods are produced in batches of n and a batch is selected at random, find the least value of n such that the probability that the mean mass of the rods in the batch will lie between 249g and 251g is greater than 0.95.A study of blood samples of 64 men shows a mean count of 5million RBC per cubic ml., with a variance of 0.06. A tabulation of64 women from the same population group show a mean countof 4.5 million, with a variance of 0.13. What is the probability offinding a woman with a count of less than 5 million?Suppose that you want to test the mean of two populations whose variance is known. Your sample size is large and yo do not have any information about α significance level. Explain how you made this decision. If your test is right tail and test statistics value is 3.12 then what would be the P-value and your decision accordingly?
