An SRS of 190 flights of a large airline (call this airline 1) showed that 166 were on time. An SRS of 190 flights of another large airline (call this airline 2) showed that 177 were on time. Let p₁ and p₂ be the proportion of all flights that are on time for these two respective airlines. Isairline 2 more reliable? In other words, does airline 1 have a lower on-time rate compared to airline 2? Carry out an appropriate test using a significance level of 0.01.(a) What are the null and alternative hypotheses?Ho: P0.0HA: Р0.0+(b) What is the test statistic? (Round your answer to 2 decimal places, if needed.)(c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.)Check(d) Based on the p-value, fail to reject the null hypothesis.

Answered: An SRS of 190 flights of a large…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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Dr. Watts is a pediatrician. His group did some research on the sleep habits of children less than 24 months old. They found a weak negative correlation between a child’s age and the number of hours per day he or she slept. What does this mean? As a child’s age increases, the hours of sleep decreases in a nearly perfect pattern. As a child’s age increases, the hours of sleep increases in a nearly perfect pattern. As a child’s age increases, the hours of sleep decreases but the relationship is not perfect. As a child’s age increases, the hours of sleep increases but the relationship is not perfect.
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Let wages denote hourly wages, educ years of education, and exper years of experience, and suppose log(wages) = f1 + 62educ + B3exper +e where E[eleduc, exper] = 0. Let b1, b2, and bz be our estimates for B1, B2, and ß3 and r23 denote the sample correlation between {educ,}", and {exper, }". Which of the following statements is true? II O a. The variance of b3 does not depend on r23. O b. The variance of b, is increasing in E" (educ, – educ,)² (all else equal). O c. The variance of b2 is at least as large as o²/ E", (educ, - educ,)2 for o? Var(eleduc, exper). O d. The variance of b2 depends on the sign of r23. O e. The variance of b2 always increases as r23 increases (all else equal).
Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Stick:[25.5,26.7,26.5,26.6,26.3,26.4] Liquid:[16.5,17.1,17.5,17.3,17.2,16.7] We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? a) z = 39.604 b) t = 25.263 c) t = 39.604 d) z = 39.104 e) t = 39.104
The professor of an introductory statistics course has found something interesting: there is a small correlation between scores on his first midterm and the number of years the test-takers have spent at the university. For the 55 students taking the course, the professor found that the two variables number of years Espa spent by the student at the university and score on the first midterm have a sample correlation coefficient r of about -0.36. Test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population correlation coefficient p. (Assume that the two variables have a bivariate normal distribution.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H . Aa 0, B H, :0 H : O=0 (b) Determine the type of test statistic to use. (Choose one) ▼ O
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If the number of pairs n = 5, coefficient of rank correlation R = - 0.5 then D will be ?
(b) A rescarcher supccts that the fish in a particular elevated wetland have elevated mercury level. To confirm that, five striped bass in that wetland were caught and their tissues were tested for mercury. Then four striped bass in an unpolluted wetland were also caught and tested for the purpose of comparison. Table QI shows the fish mercury levels in mg/kg. Table QI shows the fish mercury levels in mg/kg. Sample from polluted wetland Sample from unpolluted wetland 0.580 0.382 0.711 0.276 0.571 0.570 0.666 0.366 0.598 Construct the 95% confidence interval for the difference in the population means. Then, test at the 5% level of significance, whether the researcher's suspicion is valid. Assume that the population variances are equal.
A recent study revealed that the average weight of babies born in the United States is normally distributed with a mean of 7.5 pounds. This number is lower than recent years and so researchers are interested in determining what factors are associated with lower birth weights. One researcher decides to look at the age of the mother to determine if younger mothers have babies that are significantly heavier or lighter than average. To study this the researcher collects data from 87 babies who were born to mothers between the ages of 16 and 18. Only one baby was measured per mother. Twins and other multiple births were excluded. The average weight for these babies was 7.3 pounds with a standard deviation of .6 pounds. Was the average weight of babies of young mothers significantly different than babies in the general population? No, the difference was not significant Yes, they were lighter. Yes, they were heavier
Suppose that ten friends get together to go bowling. Also suppose that each person's score is 15 points lower for their second game than for their first game. Report the value of the correlation coefficient between game 1 score and game 2 score, with one decimal place of accuracy.
An SRS of 190 flights of a large airline (call this airline 1) showed that 160 were on time. An SRS of 190 flights of another large airline (call this airline 2) showed that 172 were on time. Let p1 and P2 be the proportion of all flights that are on time for these two respective airlines. Is airline 2 more reliable? In other words, does airline 1 have a lower on-time rate compared to airline 2? Carry out an appropriate test using a significance level of 0.02. (a) What are the null and alternative hypotheses? Но: р < : 0.0 На р 0.0 (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, fail to reject + the null hypothesis.

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