Q3. A company for fuel stations wanted to check two fuel pumps since there was a doubt thatthere is a difference in the average pumping time. From previous reconds they knew that Pump1 has o = 4 mins and Pump 2 has o2 = 3.5 mins. A sample of size 100 from each pump is testedand they found that the average time for each as = 10 mins and i = 8.8 mins respectively.Check with the significance of a = 0.05 whether there is a difference in pumping time or not.

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Answered: Q3. A company for fuel stations wanted…

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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A drug to reduce fever was given to a random saple of 8 patients who suffered from high fever. The tempertaure (in celsius) of each patient was measured just before the drug was administered and also measured four hours after the drug was administered. The data is presented in table below. Suppose we want to test at the 1% level of significance whether the drug is effective in lowering fever. Let μ1 denote the mean tempertaure of patients before taking the drug and let μ2 denote the mean temperature of patient four hours after taking the drug . Also let μD=μ1 - μ2. ASSUMING ALL assumption of this test are satisfied Patient 1 2 3 4 5 6 7 8 Before 39.2 38.5 39.7 40.2 38.6 40.4 39.8 39.9 After 40 37.9 39.8 37 38.9 39.1 40.2 37.8 a) what is the null and alternative hypothesis and level of signiifcance for this hypothesis test? b) What is the distribution of the test statisitic for this hypothesis test? c) What is the decision rule for this hypothesis test?
Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x97.97, y 98.85, r=0.865, P.value =0.000, and y= 10.04 +0.91x, where x represents the IQ score of the husband. Find the best predicted value of y given that the husband has an IQ of 1087 Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coetficientr. The best predicted value of y is (Round to two decimal places as needed.)
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
A test was made of Ho: u, = H, versus H,: µ, < µ,. The sample means were x, = 7 and 14, the sample standard deviations were s 5 and s, = 6, and the sample sizes 14 and n, 19. were n
Do the mean weights of male college freshmen and male college seniors differ? There are arguments for and against this question. The mean weight, μx of college freshmen will be compared to the mean weight, My of college seniors. The true values of Mx and My are unknown. It is recognized that the true standard deviations are x = 13 for male college freshmen and dy = 24 for male college seniors. We take a random sample of m = 431 college freshmen and a random sample of n=289 college seniors. The mean weights were x = 178 for male college freshmen and y = 185 for male college seniors. Assuming independence between the samples and assuming the weights are normally distributed we would like to estimate My - My. a) What is the standard deviation of the distribution of x?[ b) What is the standard deviation of the distribution of x-y? c) Create a 95% confidence interval for Mx - Hy? d) What is the length of the confidence interval in part c) ? e) If we let n stay at 289 but vary m, what is the…
A sumple from a normal population with mu = 50 and sigma = 6 of M=48.20, . the sample mean.corresponds to tz = - 1.50 , then how many scores are in the sample?
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 42 passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,056 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 7,056 lb42=168 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 178.3 lb and a standard deviation of 36.8.
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 43 passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,009 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 7,009 lb / 43 =163 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 182.4 lb and a standard deviation of 38.4.
One variable that Google uses to rank pages on the internet is page speed, the time it takes for a web page to load into your browser. A source for women's clothing is redesigning their page to improve the images that show its products and to reduce its load time. The new page is clearly faster, but initial tests indicate there is more variation in the time to load. A sample of 16 different load times showed that the standard deviation of the load time was 22 hundredths of a second for the new page and 12 hundredths of a second for the current page. At the 0.05 significance level, can we conclude that there is more variation in the load time of the new page? Required: a. What is the decision rule? H0:σ2η≤σ20 ; H1:σ2η>σ20 (Round your answer to 2 decimal places.) b. Calculate the test statistic. (Round your answer to 2 decimal places.) c. What is the decision regarding the null hypothesis? d. Is there more variation in the load time of the new page? multiple choice…
Suppose 140 geology students measure the mass of an ore sample. Due to human error and limitations in the reliability of the balance, not all the readings are equal. The results are found to closely approximate a normal curve, with mean 85 g and standard deviation 2 g. Use the symmetry of the normal curve and the empirical rule as needed to estimate the number of students reporting readings between 81 g and 89 g. The number of students reporting readings between 81 g and 89 g is (Round to the nearest whole number as needed.)
A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x, be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x, be the empathy = 68.36. Another random sample of 31 fathers gave score of a father. A random sample of 37 mothers gave a sample mean of x, X, = 60.06. Assume that o, = 11.55 and o, = 11.45. (a) Let u, be the population mean of x, and let u, be the population mean of x,. Find a 99% confidence interval for u, - Hz. (Round your answers to two decimal places.) lower limit upper limit (b) Examine the confidence interval and explain what it means in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you about the relationship between average empathy scores for mothers compared with those for fathers at the 99% confidence level? Because the interval contains only…

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