In random, independent samples of 200 adults and 300 teenagers who watched a certain television show, 124 adults and 153 teens indicated that they liked the show. Let p, be the proportion of all adults watching the show who liked it, and let p, be the proportion of all teens watching the show who liked it. Find a 90% confidence interval for p,-p,. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) Lower limit: ? Upper limit:

Alfredo wants a 85% confidence interval for the true average gas mileage for a Gremlin after randomly sampling 9 Gremlins. It is known that the true sigma for Gremlin gas mileage is 4 mpg, and the average of the 9 Gremlins in Alfredo's study was 24 mpg. Find the confidence interval assuming the distribution is normal.

2. An experiment showed that 52 teenage subjects dreamed in black and white & 175 of them dreamed in colors. Another study on old-age adults showed that 5 dreamed in black and white & 40 of them dreamed in colors. Find the 95% confidence interval for the difference between the rates who dreamed in black and white and those in colors. please show how to solve it. no excel please.

A set of 11 data pairs (x.y) were collected and were found to have a linear relationship given by: y = 3.04 x + 0.99 The Standard Error of the Fit for this equation is 0.755 and the confidence interval, CI, is written as: y = ax + b+ (e) Provide the value of the margin of error, e, at a confidence level of 95%. (Use 3 decimal places to express your answer).

A random sample of 34 chemists from Washington state shows an average salary of $41857, the population standard deviation for chemist salaries in Washington state is $697. A random sample of 35 chemists from Florida state shows an average salary of $44632, the population standard deviation for chemist salaries in Florida state is $900. A chemist that has worked in both states believes that chemists in Washington make a different amount than chemists in Florida. At a=0.05 is this chemist correct? Let Washington be sample 1 and Florida be sample 2. The correct hypotheses are: Ο Ηο: μι μ2(claim) Ο Ηο: μι 2 με HAM12(claim) Ho: M₁ = H2 1 HAM12(claim) Since the level of significance is 0.05 the critical value is 1.96 and -1.96 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)

A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A will average 5 minutes faster than Route B. The man decides to experiment. Each day he flips a coin to determine which way to go, driving each route 20 days. He finds that Route A takes an average of 45 minutes, with standard deviation 3 minutes, and Route B takes an average of 49 minutes, with standard deviation 5 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. (...) a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times, (µÂ ¯ µÃ) - The confidence interval is (.). (Round to two decimal places as needed.)

A researcher investigated whether the temperature of milk, x, can be used to predict the milk's pH content, y. She predicted the pH level of a glass of milk with a temperature of 8.45 degrees to be ŷ= 6.795 a)A 95% confidence interval for the mean pH of all milk with temperature 8.45 degrees is calculated to be (6.76, 6.83). Which of the following is the correct interpretation of this confidence interval? -The mean pH level for all glasses of milk having a temperature of 8.45 degrees is somewhere between 6.76 and 6.83, with 95% confidence. -The pH level for one glass of milk with a temperature of 8.45 degrees is somewhere between 6.76 and 6.83, with 95% confidence. -There is a probability of 0.95 that the mean pH level for this glass of milk with temperature 8.45 degrees is between 6.76 and 6.83. -95% of all glasses of milk with a temperature of 8.45 degrees have a pH level between 6.76 and 6.83.   b)Suppose we have a glass of milk whose temperature is 8.45 degrees. We…

The number of books sold over the course of the for day book fair were 195, 158, 263 and 100.  Assume that samples of  size 2 are randomly selected with replacement from this population of four values.  List the different possible samples and find the mean of each of them.