The mean wage per hour for all 4000 employees working at a large company is RM 10.50 with a standard deviation of RM 5.30. Let x be the mean wage per hour for a random sample of certain employees selected from this company.
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- The bookstore at IRSC would like to estimate the proportion of students who prefer electronic textbooks (eBooks) over printed textbooks (hard copies). A random sample of 30 students was surveyed. Their preferences are listed below. hard copy hard copy hard copy eBook eBook eBook hard copy hard copy hard copy hard copy eBook eBook eBook eBook eBook hard copy eBook eBook hard copy eBook hard copy eBook eBook eBook eBook eBook eBook eBook eBook eBook Determine the point estimate, ˆpp^ and the sample standard deviation, sˆpsp^. Round the sample proportion to four decimal places and round the standard deviation to six decimal places, if necessary.ˆp=p^=sˆp=sp^=Using a 99% confidence level, determine the margin of error, EE, and a confidence interval for the proportion of all students at the college who work prefer eBooks over printed textbooks. Report the confidence interval using interval notation. Report the…A cell phone manufacturer has hired you to estimate the population mean of the battery lifetimes for all phones of their latest model. You decide to measure battery lifetime by recording the time it takes for the battery charge to run out while a tester is streaming videos on the phones continuously. Then you select a random sample of 45 cell phones of the manufacturer's latest model and record their battery lifetimes. Assume that the population standard deviation of the battery lifetimes for that cell phone model (using your method of measurement) is 2.42 hours. Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 45 phones of the manufacturer's latest model. Take Sample Sample size: Number of phones Point estimate: 45 Sample mean Standard…The average score that can be obtained on a standardized test at your school is114with a standard deviation of 16. You are a reporter for the school newspaper and you want to know if thetypical deviation, o,Student athletes are different. To find out, he surveys a random sample of 18student athletes and determines that for the sample, the mean score is112with a standard deviation of12.If we assume that the scores that the student athletes obtained follow an approximately normal distribution, is there enough evidence to conclude, at the level of significance of 0.05, which standard deviation is higher among student athletes? Perform a two-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish 1' ho: 0 0 (b) (c) (d) h ! 1 0 Determine which type of test statistic to use. (Choose an option) Find the value of the test…
- A manufacturer of calculator batrries claims that the mean length of life for its battry is 500 operating hours. Suppose the standard deviation of the length of life is known to be 25 operating hours,and the distribution of life length is symmetric and mound-shaped. Approxiamately what percentage of the manufacturer'sbattries will last less than 525 hours?A study of the wages of 100 persons grouped in class-intervals of Rs. 10-12, 12-14..etc. revealed the mean wage to Rs. 32.02 and its standard deviation as Rs. 13.18. Later it was discovered that the wage of a labourer who was getting Rs. 57 was misread as 27. Calculate the correct mean and standard deviation.The mean height obtained from a random sample of size 100 is 64 inches. The standard deviation of the distribution of height of the population is knawn to be 3 inches. Test the statement that the mean height of the population is 67 inches at 5% level of significance. Also set up 99% limits of the mean height of the population.
- The human resources department of an engineering company gives IQ tests to a randomly selected group of new hires every year. They claimed that the mean IQ score of new hires, μ1 , from this year is greater than or equal to the mean IQ score of new hires, μ2 , from last year. This year, 95 new hires took the test and scored an average of 111.6 points with a standard deviation of 14.7 . Last year, 50 new hires took the IQ test and they scored an average of 118.4 points with a standard deviation of 14.8 . Assume that the population standard deviation of the IQ scores from the current year and the last year can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. Is there enough evidence to reject the claim of the human resources department, at the 0.01 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal…a sample of n=300 male college freshmen has a mean weight of 160 with a standard devation of 11. how many of the 300 observed weights fall within (A)2 standard deviations of the mean? (B) 3 standard deviations of the mean? (C) 5/2 deviations of the mean? Show the interval in each case.Suppose the total weight of passengers on a particular flight has a mean of 1499 with standard deviation 128 what is the score of a flight with a total weight of 1639.8
- Suppose we want to test the hypothesis that mothers with low socioeconomic status (SES) deliver babies whose birth weights are different from normal. To test this hypothesis, a random sample of 100 birth weights is selected from a list of full-term babies of SES mothers. The mean birth weight is found to be 115 oz. Suppose the average birth weight of all babies (based on nationwide surveys of millions of deliveries) is known to be 120 oz with = 24 oz. Set = .05 Assume all conditions are met, what is the p-value of their test? Give your answer to 4 decimal places.You have obtained the number of years of education from one random sample of 38 police officers from City A and the number of years of education from a second random sample of 30 police officers from City B. The average years of education for the sample from City A is 15 years with a standard deviation of 2 years. The average years of education for the sample from City B is 14 years with a standard deviation of 2.5 years. Is there a statistically significant difference between the education levels of police officers in City A and City B?What is the appropriate test for this case? 2 sample z-testChi-square test 2-sample t-test2 sample paired t-test Carry out the test. The test statistic = (round answer to two decimal places.)and the p-value is (round answer to 2 decimal places)There sufficient evidence at the 5% level to conclude that the education levels of police officers in City A and City B is significantly different.Suppose that a researcher is interested in estimating the mean systolic blood pressure, u, of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate u. Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 26 mm Hg, what is the minimum sample size needed for the researcher to be 99% confident that his estimate is within 4 mm Hg of u? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)