Only need help with the subparts that are wrong. Thanks for your help! A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,400 KN/m². Themixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressivestrength for specimens of this mixture is normally distributed with o-58. Let u denote the true average compressive strength.(a) What are the appropriate null and alternative hypotheses?Hox=1,400H₁1,400Ho<1,400H₂μ=1,400O Ho:44 1,400 (h) What is the probability distribution of the test statistics when μ=1,425 and n=20?The test statistic has an exponential distributionThe test statistic has a binomial distributionThe test statistic has a gamma distributionThe test statistic has a normal distribution.State the mean and standard deviation (in KN/m²) of the test statistic. (Round your standard deviation to three decimal places.)Mean1425standard devaition 12.97For a test with oc=0.01, what is the probability that the mixture will be judged unsatisfactory when in fact U=1,425 (a type Il error)? (Round youranswer to four decimal places.)(i) If the true average is 1,425, what is the power of the test (four decimal places).Power=X

It is given that: σ=58; α=0.01; the sample size, n=20. The claim is that the average compressive…

Answered: State the mean and standard deviation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An auto manufacturer claims that the variance of the gas mileage in a model of a hybrid vehicle is 0.16. A random sample of 30 vehicles has a variance of 0.26. At alpha = 0.05, is there enough evidence to reject the claim? Assume the population is normally distributed.
A person read that the average number of hours and adult sleeps on Friday night to Saturday morning was 7.3 hours. The researcher feels that college students do not sleep 7.3 hours on average. The researcher randomly selected 17 students and found that on average they slept 8.5 hours. The standard deviation of the sample is 1.4 hours. At (alpha) = 0.01, is there enough evidence to say that college students do not sleep 7.3 hours on average? Assume that the population is approximately normally distributed. Use the critical value method and tables. A. State the hypotheses and identify the claim with the correct hypothesis. B. Find the critical value(s). C. Compute the test value. D. Make the decision. E. Summarize the results.
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.141.14. A dietician is asked to test this claim and finds that a random sample of 2424 servings has a variance of 0.950.95. At alpha equals 0.10α=0.10, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed.
The average number of pounds of sliced ham ordered per customer at the deli where Dennis used to work was 1.4, but at his new job, the average of the 32 people who have ordered ham so far is 1.5 pounds, with a standard deviation of 0.3 pounds. a) Write the null and alternative hypotheses to test if the average amount of ham bought is higher at the new store. H0:μ= H1:μ> b) For α=0.025, find the rejection region in terms of z. [Write your answer with 2 decimal places.] R:z≥ c) What test statistic corresponds to an x¯ of 1.5 pounds? [Round your answer to 2 decimal places.] z= d) Should you reject the null hypothesis?
For screened coke, the porosity factor is measured by the difference in weight between dry and soaked coke. A certain supply of coke is claimed to have a porosity factor of 1.5 kilograms. Ten samples are tested, resulting in amean porosity factor of 1.9 kilograms and a variance of 0.04. Is there sufficient evidence to indicate that the coke is more porous than is claimed? Use and assume the porosity measurements are approximately normally distributed.
It is known that the volume of containers of a specific lubricant is normally distributed with a variance of 0.03 liters. Test the hypothesis that o^2 is not equal to 0.03 for the random sample of 10 containers with s = 0.24585 l. Use a P-value in your conclusions. Note:In the image, this is the exercise in Spanish, which is the original, to make it more understandable.
An auto manufacture claims that the variance of the gas mileages in a model of hybrid vehicle is 0.16. A random sample of 30 vehicles has a varience of 0.26. At a=0.05 is there enough evidence to reject the claim??
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.25. A dietician is asked to test this claim and finds that a random sample of 22 servings has a variance of 1.35. At ⍶ = 0.05 is there enough evidence to reject the manufacturer’s claim?
An analogue signal received at a detector, measured in microvolts, is normally distributed with mean of 185 and variance of 244. What is the probability that is the signal will be less than 203 µV given that it is less than 184 µV?
A soft drink dispensing machine is said to be out of control if the variance of the contents exceeds 1.15 deciliters. If a random sample of 25 drinks from this machine has a variance of 2.03 deciliters, does this indicate at a significance level of 0.05 that the machine is out of control? Assume that the contents are approximately normally distributed. Note:The exercise in the image is in Spanish, to make the exercise more understandable.
A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine works properly when 24.12 ounces of liquids are dispensed. Suppose that the average amount dispensed in a particular sample of 41 bottles is 20.65 ounces with a variance of 1.48 ounces squared. What is the test statistic to test the null hypothesis that the salad dressings machine dispenses 24.12 ounces of liquid ingredients against the alternative that the salad dressings machine dispenses liquid ingredients other than 24.12 ounces?
The distribution of weights (in pounds) of male students at a college is approximatelynormal with an unknown mean u and with an approximate standard deviation x = 15.3 lb. Considerrandom samples of 16 male students and let X denote the variable for the average weights of randomsamples of 16 male students.(a) What is the standard error of X with samples of size 16?(b) What is the distribution of X with samples of size 16?(c) Determine the minimum sample size n to ensure that the margin of error, E, of a two-sidedconfidence interval for u is at most 5 lb at 95% level of confidence.

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