How would i find:  the 90​% confidence interval is enter your response here <(p1−p2)< enter your response here.

100 students take a test in 2018. The average score was 75 and the standard deviation of the final exams scores was 5. The following year (2019), the professor changed her teaching style, and then taught the class to 90 students, gave the same exam, and found an average score of 80 and a standard deviation of 8.. Compute the 95% confidence interval for the final exam score in ECON 540 for 2018. Interpret the interval.

Your company has developed a probability of purchase model based upon                the number of promotions to which a customer has been exposed.  The              dependent variable is the probability that a customer will make a purchase within              the following week (0-1). The independent variable is the number of promotions             to which the customer has been exposed over the past month..  The model appears             as follows:                Probability of Purchase = .2 + .075 (# of promotions exposed in past month) Interpret the associated 95% confidence interval if it is .4 - .6. Interpret the associated 95% prediction interval if it is: .35 - .65.

The data below were collected in a clinical trial to compare a new drug to a placebo for its effectiveness in lowering total serum cholesterol.  Generate a 95% confidence interval for the difference in mean total cholesterol levels between treatments. Generate a 95% confidence interval for the proportion of all patients with total cholesterol < 200.     New Drug Placebo Total Sample   (n=75) (n=75) (n=150)   Mean (SD) Total Serum Cholesterol 185.0 (24.5) 204.3 (21.8) 194.7 (23.2)   % Patients with Total Cholesterol < 200 78.00% 65.00% 71.50%             a.  95% CI (    ,    )

In a random sample of 670 Americans, 35% indicated that they have a cat for a pet. Estimate with 96% confidence the proportion of all Americans that have cats as pets. Give the confidence interval in interval notation, (LCL,UCL) Give your answer as percentages, to at least 2 decimal places, and use at least 3 decimal places in your critical value. Confidence Interval:

How do you Express the confidence interval (0.839, 0.958) in the form of p±E?

In a large scale study of energy conservation in single family homes, 20 homes were randomly selected from homes built in a housing development in southern England. Ten of the houses, randomly selected from the 20 houses selected for the study, were constructed with standard levels of insulation (70 mm of roof insulation and 50 mm of insulation in the walls). The other 10 houses were constructed with extra insulation (120 mm of roof insulation and 100 mm of insulation in the walls). Each house was heated with a gas furnace and energy consumption was monitored for eight years. The data shown below give annual gas consumption in MWh for each of the 20 houses. Standard Insulation Extra Insulation 13.8 15.1 17.8 13.9 18.0 15.9 17.3 17.2 16.9 15.2 19.9 13.8 13.6 11.3 17.6 13.2 15.9 18.8 12.3 14.0 Sample means Sample Standard Deviation 16.31 14.84 2.38 2.12

Say that on average teenagers eat 10 slices of pizza each week, with a 95% confidence interval of (8-12).  We take a sample of teenagers and find that this group eats an average of 6 slices each week.  What can we say about the teenagers in the sample in relation to the confidence interval?

What critical value t∗t∗ from Table C would you use for a confidence interval for the mean of the population in each of the following situations?   (a)96% confidence interval based on n = 25 observations.(b) A 95% confidence interval from an SRS of 17 observations.(c) A 90% confidence interval from a sample of size 13.

Express the confidence interval (0.034,0.116) in the form of p−E<p<p+E.