Suppose that a sample of T=36 recent college graduates is used estimate the model y, = B+e,where y, is the hourly wage rate. We have: y = $22.2,o² = 36(a) Test whether the mean wage for recent college graduates is $20/hour at a = 1% (Be sure tostate the null and the alternative hypotheses, the test statistics, their distribution and d.f., andyour decision for this test).(b) Construct a 90% confidence interval estimation for B.

Given: Sample size (n) = 36 y¯=22.2σ2=36yt=β+etμy=20α=0.01 et ~ N (0, σ2=36)

Answered: nere y, is the hourly wage rate. We…

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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When finding the upper bound, UU, of a confidence interval given the lower bound, LL, and the margin of error, EE, we use the formula U=L+2EU=L+2E. Find the upper bound for the proportion of babies that are born preterm if the lower bound is L=0.364L=0.364 and the margin of error is E=0.176E=0.176. Round your answer to 3 decimal places.U=
es A sample of 12 fossil skeletons of an extinct species of bird has been collected. The mean length of the skulls in this sample is 5.29 cm and the standard deviation of the sample is 0.21 cm. Assuming that such measurements are normally distributed, find a 90% confidence interval for the population mean length of the skulls of this species of bird. You may want to use one of these: qt (p-0.10, df-11, lower. tail-FALSE)=1.36343 qt(p-0.05, df-11, lower.tail-FALSE) =1.795885 qnorm(0.10, mean-0, sd-1, lower.tail-FALSE)=1.281552 qnorm(0.05, mean-0, sd-1, lower.tail=FALSE)=1.644854 O (4.945, 5.635) O (4.913, 5.667) O (5.021, 5.559) O (5.181, 5.399)
Aspirin is packed in 120 tab bottles with weight normally distributed with mean 600g and standard deviation 6g. Rejected bottles are those whose weight differs from the mean weight by 15g or more. That is, rejected bottles have weight either too small or too large. We want to find out how many bottles will be rejected from a daily production of 5000 bottles. 1,Do we have to calculate one z-score or two z-scores? 2. The negative z-score is 3. The positive z-score is 4.How many bottles, of the 5000, do we anticipate to have to reject?
please,detailed solution for you to understand
(1 point) A random sample of 70 observations produced a mean of a 39.5 from a population with a normal distribution and a standard deviation o = 2.14. (a) Find a 95% confidence interval for u (b) Find a 99% confidence interval for (c) Find a 90% confidence interval for
please sir solve last the two parts
Q-3) Show all the steps for the problem.
You are testing the claim that the mean GPA of night students is different than the mean GPA of day students.You sample 25 night students, and the sample mean GPA is 2.57 with a standard deviation of 0.83You sample 45 day students, and the sample mean GPA is 2.12 with a standard deviation of 0.49Calculate the test statistic, rounded to 2 decimal places
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THE FINALS ANSWERS SHOULD BE IN 3 DECIMAL PLACES
A researcher wants to estimate the mean blood cholesterol level of young men ages 15-25 with a 90.15% confidence interval. The blood cholesterol level of young men follows a Normal distribution with standard deviation σσ = 45 mg/dl. How large a sample would the researcher need to take to estimate the mean blood cholesterol to within 5 mg/dl? A sample of at least ________ people.
You are testing the claim that the mean GPA of night students is greater than the mean GPA of day students.You sample 40 night students, and the sample mean GPA is 2.97 with a standard deviation of 0.31You sample 30 day students, and the sample mean GPA is 3.02 with a standard deviation of 0.62Calculate the test statistic, rounded to 2 decimal places

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