Here are summary statistics for randomly selected weights of newborn girls: n=36, x=3180.6 g, s=700.5 g. Use a confidence level of 90% to complete parts (a) through (d) below.a. Identify the critical value ta/2 used for finding the margin of error.= 1.69ta/2=(Round to two decimal places as needed.)b. Find the margin of error.E=197.3 g(Round to one decimal place as needed.)c. Find the confidence interval estimate of μ.2983.3 g<< 3377.9 g(Round to one decimal place as needed.)d. Write a brief statement that interprets the confidence interval. Choose the correct answer below.OA. One has 90% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls.B. One has 90% confidence that the sample mean weight of newborn girls is equal to the population mean weight of newborn girls.OC. Approximately 90% of sample mean weights of newborn girls will fall between the lower bound and the upper bound.OD. There is a 90% chance that the true value of the population mean weight of newborn girls will fall between the lower bound and the upper bound.

Answered: Here are summary statistics 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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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 16 days. Using a TI 84 graphing calculator, Round to whole numbers and label. How many days in a pregnancy is located at the 45th percentile? Be sure to show calculator commands used
Please show the complete solution
A bottler of drinking water fills plastic bottles with a mean volume of 994 millimeters (mL) with a standard deviation of 5 mL. The fill volumes are normally distributed. What proportion of bottles have volumes less than 995 mL? Use Table A.2 (Normal Distribution Table) and keep four decimal places with your answer.
A study was undertaken to determine whether there was a significant weight (in lb) loss after one year course of therapy for diabetes, and whether the amount of weight (in lb) loss was related to initial weight. The following table gives the initial weight (x) and weight after one year of therapy (y) for 16 newly diagnosed adult diabetic patients. a. Is a one-sided or two sided test needed here? b. What is the mean weight for each time period? c. What is the standard deviation for each time period? d. Which statistical test is appropriate to use on these data? e. Carry out the hypothesis test(s) in question in above d. Use α=0.01 f. Are the means statistically different? g. Find the 99% confidence interval for the difference of the two means on weight. Interpret your finding.
People were polled on how many books they read the previous year. Initial survey results indicate that s = 14.3 books. Complete parts (a) through (d) below. Click the icon to view a partial table of critical values. (a) How many subjects are needed to estimate the mean number of books read the previous year within four books with 90% confidence? This 90% confidence level requires 35 subjects. (Round up to the nearest subject.) (b) How many subjects are needed to estimate the mean number of books read the previous year within two books with 90% confidence? This 90% confidence level requires subjects. (Round up to the nearest subject.)
Reports on a student's test score such as the SAT or a child's height or weight usually give the percentile as well as the actual value of the variable. The percentile is just the cumulative proportion stated as a percent: the percent of all values of the variable that were lower than this one. The upper arm lengths of females in the United States are approximately Normal with mean 35.735.7 cm and standard deviation 2.12.1 cm, and those for males are approximately Normal with mean 39.139.1 and standard deviation 2.32.3 cm. Larry, a 6060‑year‑old male in the United States, has a upper arm length of 37.837.8 cm. What is his percentile? (Enter your answer rounded to two decimal places.)
A normal distribution with mean =113.5 and st deviation=86.6.find P32 which is the score separating the bottom 32% from 68%
The concentration of blood hemoglobin in middle-aged adult females is normally distributed with a mean of 13.5 g/dL and a standard deviation of 0.86 g/dL. Determine the hemoglobin levels corresponding to the: 90th percentile Middle 85% of middle-aged adult female hemoglobin levels
Suppose that you had collected the following sample data (in inches) on the diameters of tree trunks, measured at waist level and growing at 2000’ elevation in the Cascade Mountains: 9.0, 6.2, 6.5, 7.0, 10.5 and 8.8. The sample Inter Quartile Range is: (a) 5.5 (b) 4.5 (c) 3.5 (d) 2.5 (e) 4.0 (f) None of the above
People were polled on how many books they read the previous year. Initial survey results indicate that s = 14.6 books. Complete parts (a) through (d) below. Click the icon to view a partial table of critical values. C (a) How many subjects are needed to estimate the mean number of books read the previous year within four books with 95% confidence? This 95% confidence level requires subjects. (Round up to the nearest subject.) (b) How many subjects are needed to estimate the mean number of books read the previous year within two books with 95% confidence? This 95% confidence level requires subjects. (Round up to the nearest subject.) (c) What effect does doubling the required accuracy have on the sample size? O A. Doubling the required accuracy nearly halves the sample size. O B. Doubling the required accuracy nearly doubles the sample size. O C. Doubling the required accuracy nearly quadruples the sample size. O D. Doubling the required accuracy nearly quarters the sample size. (d) How…
The weights of tablets are normally distributed with mean 254 mg and standard deviation 4 mg. (a) What proportion of tablets weighs less than 248 mg?

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