Develop an interval estimate for the difference between the average yearly incomes of the marketing managers in the East and West Use a= 05. At 95% confidence, use the p value approach and test to determine if the average b. yearly income of marketing managers in the East is significantly ditfferent from the. West
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- What is the purpose of the Intermediate Value Theorem?Assume that monthly income follows a normal distribution with population mean µ = $4,000 and population standard deviation σ = $1000.A government agency wants to provide free health care to all individuals earning below a specified monthly income but the agency does not want to award this benefit to more than 1.1 percent (or 0.0110) of the population. What should this income cutoff be to make sure that not more than 5 percent of the population receive this free health care benefit? Show your work by providing the relevant equations and the final answer.State the conditions in which the separate and combined ratio estimate methods are used instead of the simple ratio estimator ? (Answer should be correct with all the conditions)
- Why is it that interpolation is defined as the estimation of a function's value in a period that is not included in the data set?To compare the effectiveness of competing fertilizers on increasing radish size, researchers randomly divided 20 radish seeds of the same type into two groups of 10 and planted them. To one of the groups they applied Fertilizer A, and to the other, they applied Fertilizer B. Then they measured the radii of the radishes grown from the seeds in the two groups. The results of the experiment are shown in the tables. The mean radius for the group that was given Fertilizer A is (less,greater)than that for the group that was given Fertilizer B. The variability of the radii for the group that was given Fertilizer A is (less/greater)than that for the group that was given Fertilizer B. The data for both of the groups produces a (uniform, non-uniform) distribution.In an industrial establishment, the coefficients of variation of wages of male and female workers were 55% and 70% respectively. The standard deviations were Rs. 22 and Rs. 15.40 respectively. Calculate the combined average wages for all workers if 80% of the workers were male.
- suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 8.6 seconds. Suppose that you want to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer than 8.6 secons. What would you use for the alternative hypothesis?A type of small snail is very widespread in Japan, and colonies of the snails that are genetically similar have been found very far apart. Scientists wondered how the snails could travel such long distances. A recent study provides. the answer. Biologist Shinichiro Wada fed 174 live snails to birds and found that 26 of the snails were excreted live out the other end. The snails appar- ently are able to seal their shells shut to keep the digestive fluids from getting in. Estimate the standard error (use the standard deviation in the picture for the standard error) question 2: Use the standard error from part (b) to find a 95% confidence interval for the proportion of all snails of this type to live after being eaten by a bird. Write both ends of your interval as percents,Since the z score for the tallest man is z= __________and the z score for the shortest man is z=___________, the tallest or shortest man had the height that was more extreme. (Round to two decimal places.)
- The formula for estimating the number of people, nn, that need to be surveyed in order to have a specified margin of error with a specified level of confidence for the average age of first kiss is given by n=z^2*stdDev^2/E^2 where z=2.266 depends on the level of confidence, stdDev is the standard deviation and E is the margin of error. How many people need to be surveyed if the standard deviation is 1.939 years and the margin of error is 0.122 years.n = (Please always round your answer up to the smallest whole number that is greater than or equal to your answer.)A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rates in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The physician uses the alternative hypothesis Ha:μd≠0. Suppose the test statistic t is computed as t≈5.627, which has 10 degrees of freedom. What range contains the p-value?If the computed interval estimate for μX−μY contains positive values only then we are highly confident that the mean of X is greater than the mean of Y. TRUE or FALSE