A manufacturer claims that the mean lifetime, u, of its light bulbs is 42 months. The standard deviation of these lifetimes is 6 months. Twenty-seven bulbs areselected at random, and their mean lifetime is found to be 41 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level ofsignificance, that the mean lifetime of light bulbs made by this manufacturer differs from 42 months?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)(a) State the null hypothesis H, and the alternative hypothesis H1.Ho :0H :0(b) Determine the type of test statistic to use.O=0OSO(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)O

Answered: Image /qna-images/answer/3412f9d9-3d63-4ba9-b2f6-aa4411b777b2.jpg

Answered: A manufacturer claims that the mean…

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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Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 35 minutes and a standard deviation of 3 minutes, while method B has a mean of 39 minutes and a standard deviation of 1.5 minutes. Which procedure is preferred if the procedure must be completed within 34 minutes? Which procedure is preferred if the procedure must be completed within 40.0 minutes? Which procedure is preferred if the procedure must be completed within 43 minutes?
Speeds of cars in an expressway are monitored by high-speed camera units. The minimum speed of cars in the expressway is 60 kph and the maximum speed is 100 kph. Cars going below the minimum, or going above the maximum, are apprehended. Suppose that speed of the cars on the expressway are normally distributed with a mean of 75kph and a standard deviation of 10 kph. What percentage of the cars travelling on the expressway will not be apprehended? Note: Write your answer as percentage with two decimal places (i.e. 87.26%).
A statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years. The mean score over all those students on the first midterm was u = 88 with standard deviation o = 10. One year, the teacher taught a %3D much smaller class of only 25 students. The teacher wanted to know if teaching a smaller class was more effective and students performed better. We can consider the small class as an SRS of the students who took the large class over the years. The average midterm score was = 78. The hypothesis should be: a. Ho: H = 78 vs. Ha: H = 88. %3D O b. Ho: µ = 88 vs. Ha: µ 78 %3D Ο d. Ho: μ-88 νs. Ha: μ >88. %3D
The mean score on a driving exam for a group of driver’s education students is 76 points, with a standard deviation of 6 points. Apply chebychev’s theorem to the data using K=2. Interpret, At least ___% of the exam score falls between ___and ____
The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.4 mg, with a standard deviation of 3 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.0 mg with a standard deviation of 3.8 mg. The accompanying table shows the data. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Let population 1 be unfiltered king-size cigarettes. Complete parts (a) through (c) below. Click the icon to view the data. a. Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. What does the result suggest about the effectiveness of cigarette filters? Identify the null and alternative hypotheses. O B. Ho: H1 =H2 O C. Ho: H1 #H2 H1: H1 =H2 O A. Ho: H1 = H2 H:H1 H2 O F. Ho: H1 = H2 H1:H1> H2 H:H1=H2 Hq: H1…
The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of three English courses with a standard deviation of 0.8. The females took an average of four English courses with a standard deviation of 1.0. Are the means statistically the same? (Assume a 5% level of significance.)
The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to
This question applies to the next 3 MCQs. Wire wound resistors are being custom made for a Design House with a maximum specification of 305.70 ohms and a minimum specification of 304.55 ohms. If the resistance is higher it can be reworked, if lower they must be scrapped. The resistors manufactured follow a normal distribution with a mean of 305.2 ohms and a standard deviation of 0.25 ohms. What percentage of the resistors are scrap (approximately)? 5% 2% 0.1% 0.5% 1%
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with μ = 514. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students is 520 with a standard deviation of 112. Complete parts (a) through (d) below. to = 1.04 (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three decimal places as needed.)
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players’ salaries and 35 football players’ salaries is selected. The mean salary is determined for both samples. Let represent the difference in the mean salaries for baseball and football players. Which of the following represents the shape of the sampling distribution for ? skewed right since the populations are both right skewed skewed right since the differences in salaries cannot be negative approximately Normal since both sample sizes are greater than 30 approximately Normal since the sum of the sample sizes is greater than 30
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players' salaries and 35 football players' salaries is selected. The mean salary is determined for both samples. Let -T, represent the difference in the mean salaries for baseball and football players. Which of the following represents the standard deviation of the sampling distribution for - -- ? O 0.41 million O 0,57 million Save and Exit Next Submit Mark this and return hp & 4 6. 7 8. 9. y h k

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