Ten engineering schools in a country were surveyed. The sample contained 225 electrical engineers, 90 being women; 150 chemical engineers, 30 being women. Compute a 95% confidence interval for the difference between the proportions of women in these two fields of engineering. Is there a significant difference between the two proportions? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Let p, be the population proportion of electrical engineers that are women in the schools that were surveyed and let p, be the population proportion of chemical engineers that are women in the schools that were surveyed.

Ten engineering schools in a country were surveyed. The sample contained 225 electrical engineers, 90 being women; 150 chemical engineers, 30 being women. Compute a 95% confidence interval for the difference between the proportions of women in these two fields of engineering. Is there a significant difference between the two proportions? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Let p, be the population proportion of electrical engineers that are women in the schools that were surveyed and let p, be the population proportion of chemical engineers that are women in the schools that were surveyed.

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 hypertension trial is mounted and 12 participants are randomly assigned to receive either a new treatment or a placebo. Each participant takes the assigned medication and their systolic blood pressure (SBP) is recorded after 6 months on the assigned treatment. The data are as follows. Placebo New Treatment 132 114 143 119 148 121 144 124 155 126 160 128 Is there a difference in mean SBP between treatments? Run the test at a 5% level of significance. Give each of the following to receive full credit : 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic ; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.
The height of women ages 20-29 is normally distributed, with a mean of 64.2 inches. Assume σ=2.8 inches. Are you more likely to randomly select 1 woman with a height less than 64.9 inches or are you more likely to select a sample of 20 women with a mean height less than 64.9 inches? Explain. LOADING... Click the icon to view page 1 of the standard normal table. LOADING... Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 64.9 inches? enter your response here (Round to four decimal places as needed.)
According to one study, brain weights of men are normally distributed with a mean of 1.10 kg and a standard deviation of 0.12 kg. Use the data to answer parts (a) through (e). Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. a. Determine the sampling distribution of the sample mean for samples of size 3. Interpret your answer in terms of the distribution of all possible sample mean brain weights for samples of three men. The mean of the sample mean is µ, kg. (Type an integer or a decimal. Do not round.) The standard deviation of the sample mean is o, = kg. (Round to four decimal places as needed.) Interpret these answers in context. For the brain weights have a normal distribution with a mean of kg and a standard deviation of kg. (Type integers or decimals rounded to four decimal places as needed.) b. Repeat part (a) for samples of size 12. The mean of the sample mean is µ;…
The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey 8 employees. The number of sick days they took for the past year are as follows: 10; 5; 13; 3; 11; 8; 6; 9. Let X = the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% level.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) t = Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence…
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Consider a sample data with x=25 and s=2. Compute a chebyshev’s interval for which at least 89% of the data will lie?
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