The Bureau of Labor Statistics reported that 16% of U.S. non-farm workers are government employees. A random sample of 65 workers is drawn.a) Does the "Central Limit Theorem" hold? Since \( n \cdot p = \_\_\_\_\_ \geq 10 \) and \( n \cdot (1 - p) = \_\_\_\_\_ \geq 10 \), we conclude that CLT holds.b) The mean of the sample proportion of non-farm workers that are government employees is \( \mu_{\hat{p}} = \_\_\_\_\_ \) % and the standard deviation of the sample proportion is \( \sigma_{\hat{p}} = \_\_\_\_\_ \). Round the standard deviation to 3 decimal places.c) The probability that the sample proportion of non-farm workers that are government employees is less than 20% is: \( P(\hat{p} < 0.2) = \_\_\_\_\_ \). Round your answer to two decimal places.d) What sample proportion is needed for a non-farm worker to be at the 60th percentile? (HINT: Use inverse probability) \( P(\hat{p} < \_\_\_\_\_) = 0.60 \). Round your answer to two decimal places.

Answered: The Bureau of Labor Statistics reported…

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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1. Prove the following statements:a) The standard deviation is zero if all the observations have some constant value.b) The standard deviation does not change by the change of origin.c) The standard deviation is affected by the change of scale.
The Central Limit Theorem says that the standard deviation of the sampling distribution of the sample means is (A exactly equal to the standard deviation. (B close to the population mean if the sample size is small close to the population standard deviation if the sample size is large. equal to the population standard deviation divided by the square root of the sample D size.
State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain. (a) t= - 1.572 (b) t= 1.409 (c) t= 1.535 (d) t= - 1.559 -4 -to = -1.492 to = 1.492 (c) For t=1.535, should you reject or fail to reject the null hypothesis? O A. Fail to reject Ho, because t 1.492. O C. Reject Ho, because t> 1.492. O D. Reject Ho, because - 1.492 1.492. O B. Reject Ho, because t< - 1.492. O C. Reject Ho, because - 1.492
pls. answer using 7 steps:-Parameter of interest-Null hypothesisAlternative hypothesis -Test statistic -Reject H0 if: -Computations: -Conclusion
According The latest Internet usage survey of college students amount of time spent on social media per day is normally distributed with a mean equal to 210 minutes and a standard deviation of 45 minutes based on the survey find the probability that the amount of time spent on social media by college students is more than 240 minutes per day round answer to four decimal places
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A Journal published longitudinal study of hearing impairment in a group of elderly patients with intellectual disabilities. The hearing function of each patient was screened each year over a 10 - year period. At the study's conclusion, the hearing loss of each patient was categorized as severe, moderate, mild, or none. The classification of the 28 surviving patients are summarized in the following table. Hearing loss Number of Patients None 7 Mild 7 Moderate 9 Severe 5 Total 28 Conduct a test to determine whether the trueproportions of intellectually disabled elderly patients in each ofthe hearing-loss categories differ. Use a 5% significance level. We are doing this on a Ti84 plus Calculator.
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