c. Find the confidence interval estimate of u. ☐g<µ
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- highschool A and B reported the following summary of MCAT scores. Test claim that the applicants of freshmen in school A score higher than their counterparts of freshmen school B. (a) α = 10%, Classical approach, and conclude it (b) p-value to conclude it school A : n=10, X bar=415, S2 = 100, school B : n=7, X bar=410,S2 = 128 standard eRROR ESTIMATE= 15 P-value: t-distribution, we find the p-value is = to 0.1811 for the one-tailed test. P-value 1811> signi. level a=0.05, fail 2reject. .... not significant evidence to conclude that applicants of School A scored higher than applicants of School B.time, i.e. P(μx-ox ≤ x ≤ μx + 0x). 3. Suppose that people heights are normally distributed with mean of 170 cm and standard deviation of 6 cm. a) What proportion of people are between 165 cm and 175 cm tall? b) Find the minimum ceiling of an airplane such that at most 5% of people walking down the aisle will have to duck. E c) Find the probability that the average height of a random sample of 49 people is greater than 172 cm. 80 F3 4 R % 5 T F6 Y 1 & 7 K ard deviation of the expected U 8 DII-2 2. 1), find c given P(Z > c) = 0.046, please show you For a standard normal distribution (u 0 and o answer to 2 decimal places.
- The confidence interval of Standard normal distributed function X is (43,47.4)a) Find the margin of error ? (Round to two decimal places as needed.)The pressure of air (in MPa) entering a compressor is measured to be X = 8.5 ± 0.2, and the pressure of the air leaving the compressor is measured to be Y = 21.2 ± 0.3. The intermediate pressure is therefore measured to be P = √XY = 13.42 . Assume that X and Y come from normal populations and are unbiased. a) From what distributions is it appropriate to simulate values X* and Y*? b) Generate simulated samples of values X*, Y*, and P*. c) Use the simulated sample to estimate the standard deviation of P. d) Construct a normal probability plot for the values P*. Is it reasonable to assume that P is approximately normally distributed? e) If appropriate, use the normal curve to find a 95% confidence interval for the intermediate pressure.. Sketch and label the curve and shade the area indicated in the example. • Show any scratch work/ make note of, or list the function(s) that you used, such as "normal distribution" or "inverse cdf," "Complement rule," etc. Don't worry about the format for this, I want you to have these notes for the final :) • Round your answer to four places after the decimal. • You may use the desmos normal distribution calculator.
- Prove that the mean deviation about the mean of the variable x, the frequency of whose ith size x; is f; is given by : 2 N x_r_fi - Efixi, Ν= Efi X < xThe pulse rates of 176 randomly selected adult males vary from a low of 40 bpm to a high of 116 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 95% confidence that the sample mean is within 2 bpm of the population mean. Assume that o= 10.1 bpm, based on the value s = 10.1 bpm from the sample of 176 male pulse ratesThe formula used to compute a confidence interval for the mean of a normal population when n is small is x± (t critical value) What is the appropriate t critical value for each of the fol- lowing confidence levels and sample sizes? d. 90% confidence, n = 25 e. 90% confidence, n = 13 f. 95% confidence, n 10
- Please help me confim this information is correct and at the end portion the P val.. does this need to be subtracted by 1. To get the answer since is positive not negative? Thank you so muchb) Find the mean and standard deviation of the difference. c) Find the rejection region and state your decision at α = 0.01.Find the critical t value that corresponds to 95% confidence, Assume 29 degrees of freedom (two tailed) Round to 3 decimals
