Suppose that the typing speed for secretaries are normally distributed with an unknown mean and standard deviation. Arandom sample of 26 secretaries is taken and gives a sample mean of 54 words per minute and a sample standarddeviation of 5 words per minute.The ME, margin of error, for a 98% confidence interval estimate for the population mean using the Student's t-distributionis 2.44. Find a 98% confidence interval estimate for the population mean using the Student's t-distribution· Round the final answers to two decimal places.Provide your answer below:98% of the x-values lie between || and11

Given typing speed of secretaries is normally distributed with unknown mean and standard deviation.…

Answered: Suppose that the typing speed for…

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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For all adult women in the US, the diastolic blood pressure is normally distributed with mean 76 mm Hg and standard deviation 12 mm Hg. A physician has data on 16 randomly selected adult US women. There is a 10 % chance that any other person collecting data on 16 randomly selected adult US women will get an average diastolic blood pressure higher than the average diastolic blood pressure for the physician’s sample. What is the average diastolic blood pressure for the physician’s sample? 92.56 72.16 59.44 79.84 Cannot find because we do not know the average blood pressure values for the other samples
The mean diastolic blood pressure for a random sample of 70 people was 96 millimeters of mercury. If the standard deviation of individual blood pressure readings is known to be 11 millimeters of mercury, find a 90% confidence interval for the true meandiastolic blood pressure of all people. Then give its lower limit and upper limit.
Two engineers were asked to estimate the average life of their company's batteries. Engineer 1 set an estimate of 27.5 hours with a standard deviation of 5 hours. On the other hand, engineer 2 estimated the mean to be 31 hours with a standard deviation of 6 hours. If the population mean is 30.5 hours, what are the mean squared errors of each estimate and which should be selected by the company as the optimal? Mean Squared Error (Engineer 1): Mean Squared Error (Engineer 2): Optimal: Engineer (Answer either 1 or 2)
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 psychologist is studying smokers' self-images, which she measures by the self-image (SI) score from a personality inventory. For adults in the U.S., the mean SI score from this inventory is about 150.The psychologist gathers a random sample of 15 SI scores of smokers and finds that their mean is 126 and their standard deviation is 37. Assume that the population of SI scores of smokers is normally distributed with mean μ. Based on the sample, can the psychologist conclude that μ is different from 150? Use the 0.05 level of significance. Perform a two-tailed test. Then fill in the table below.Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one) Z t Chisquare F The value of the test statistic:(Round to at least three decimal places.) The p-value:(Round to at least…
The Boeing Company conducts a study on the mean amount of fuel consumption of all itsflights. From historical records, it is known that σ = 32.2 mpg. The company wants to havethe maximum amount of error 10 mpg. Calculate the sample size needed to have 95% confidence. Calculate the sample size needed to have 99% confidence -can you please write clearly-
Suppose that shopping times for customers at a local mall are normally distributed with known population standard deviation of 20 minutes. A random sample of 64 shoppers in the local grocery store had a mean time of 75 minutes. Find the standard error, margin of error, and the upper and lower confidence limits of a 95% confidence interval for the population mean, µ.
Find the standard error of the sample mean such that we have 70 random samples with mean 40 and standard deviation of 16.
The researcher took a random sample of 50 residents and found that the mean height of men is 175cm. Suppose that the team is made aware of the fact that the distribution of heights is distributed normally. 1, The sample median is an unbiased estimate of the mean height of men. Is the following statement about the estimator true? 2, Determine whether or not the median or mean is an efficient estimator of the population median.
A psychologist is studying smokers' self-images, which she measures by the self-image (SI) score from a personality inventory. For adults in the U.S., the mean SI score from this inventory is about 140 . The psychologist gathers a random sample of 12 SI scores of smokers and finds that their mean is 157 and their standard deviation is 34 . Assume that the population of SI scores of smokers is normally distributed with mean μ . Based on the sample, can the psychologist conclude that μ is different from 140 ? Use the 0.05 level of significance. Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.)…
The heights of 9 men were taken with sample mean of 165 cm and standard deviation 5 cm. The heights of 7 Japanese women were taken with sample mean of 150 cm and standard deviation 3 cm. Assuming that the population standard deviations for heights of men and women are both the same, construct the 95% confidence interval for the difference in mean heights between men and women.
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

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