Summary statistics computed for two population (A & B) are as follows: meanA=100 sigmaA=45, meanB=30, sigmaB=14. If two samples of equal sizes 15 are independently drawn from these two population. Find the probability that sample A will have mean of 90.7 more than sample B.
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- Suppose that the time in minutes it takes a student to complete an assignment is normally distributed with a mean 50 and variance 100 then the 85th percentile of the average time it takes a random sample of 25 students to complete the assignment is closest to a 48. • b. 52 • C. 40. • d. 60. • e. 71.Suppose the variance of X is 14. What is the variance of .47X?Part I A bakery sells homemade bread by the loaf and sales are uniformly distributed between 200 and 600 loaves per day. a. Find the probability of selling 240 loaves on a given day. b. Find the probability of selling between 250 and 260 loaves per day Part II The golf balls produced by TruGolf have a mean distance of 250 meters and a variance of 625 meters. c. How large a sample of TruGolf balls should be taken if they want to estimate with 90% confidence the mean distance to within 8 meters? d A random sample of 40 balls from TruGolf are selected. Find the Bound of Error when the confidence level is 95% for TruGolf
- This question applies to the next 3 MCQs. Wire wound resistors are being custom made for a Design House with a maximum specification of 305.70 ohms and a minimum specification of 304.55 ohms. If the resistance is higher it can be reworked, if lower they must be scrapped. The resistors manufactured follow a normal distribution with a mean of 305.2 ohms and a standard deviation of 0.25 ohms. What percentage of the resistors are scrap (approximately)? 5% 2% 0.1% 0.5% 1%If the mean of grades in statistics = 65 and the variance : 400 , then the Z score of grade 50 =A researcher takes sample temperatures in Fahrenheit of 20 days from Minneapolis and 18 days from Cleveland. Use the sample data shown in the table. Test the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland. Use a significance level of α=0.01. Assume the populations are approximately normally distributed with unequal variances.Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs. Minneapolis Cleveland 70.1 66.1 69.5 65.9 65.7 61 71.7 62.8 62 67.9 75.3 74.5 63.2 69.1 62 72.5 76.9 80.4 71.3 72.7 70.9 70.4 70.5 76.6 65.1 62.2 76.2 66.1 70.3 86 69.5 81 80.2 68.3 74.3 63.3 70.7 64.6 The Null Hypotheses is: H0: μ1 - μ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.)HA: μ1 - μ2 Based on these hypotheses, find the following. Round answers to 4 decimal…
- The F-statistic is a ratio score resulting in a measure of the estimated proportion of variance due to the independent variable. True or falseYou are asked to calculate the 94% Cl for the mean value of a normally distributed population with known variance = 144. Which of the following critical values should be used?The population mean will always be the same as the mean of all possible that can be computed from samples of size 27. True O False
- A traffic officer suspects that the mean number of car accidents every week is 4. A sample of 16 weeks showed a mean of 7. If the variance of car accidents in the population is 4, then the correct test statistics at 5% significance level is Select one: O a. t= 3 O b. t= 6 O c. Z= 6 O d. Z= 3Let X be a random variable with X = -3and oz 5. Find the mean and the variance of Y = -2X -3A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 50 men and 74 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 Mean N StDev SE Mean Men Women 95% Cl for mu Men - mu Women (- 10.67, - 1.13) T-Test mu Men = mu Women (vs H2 B. Ho: H1 = H2;