A random sample of 100 packs of apples with a professed weight of 1kg was found to have mean1020g and standard deviation 12g.a) Find a 95% confidence interval for the mean weight of all such packs of apples.b) Does the interval include 1kg? Can you think of a reason (which any retailer would be ableto tell you) why you might expect the interval not to include 1kg?c) What confidence level would have resulted in the interval just about including 1kg?

Consider X as the random variable that indicates the weight of an apple. The provided information is…

Answered: A random sample of 100 packs of apples…

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 simple random sample of 5 observations from a normal distribution was taken, and the following values were obtained: {15, 19, 19, 20, 22}. A 95% confidence interval for the mean is O A. (16.569, 21.431) O B. (15.835, 22.165) O C.(16.069, 21.931) O D. (17.124, 20.876) O E. (16.765, 21.235)
The heights of a simple random sample of 400 male high school sophomores in a Midwestern state are measured. The sample mean is x = 66.2 inches. Suppose that the heights of male high school sophomores follow a Normal distribution with a standard deviation of o= 4.1 inches. Suppose the heights of a simple random sample of 100 male sophomores were measured rather than 400. Which of the following statements is true? A) The margin of error for the 95% confidence interval would increase. B) The margin of error for the 95% confidence interval would decrease. C) The margin of error for the 95% confidence interval would stay the same because the level of confidence has not changed. D) The standard deviation owould decrease.
A labour economist aims to estimate the variance of unemployed workers' mathematic test scores. Assume that a random sample of 18 scores had a sample standard deviation of 10.4. Using the information above, form a 90% confidence interval for the population variance. O a) The confidence interval is exactly between 86.64 and 222.07 Ob) The confidence interval is exactly between 46.64 and 202.07 O c) The confidence interval is exactly between 66.64 and 212.07 () d) None of the answers are correct
4. on paper. random sample of 130 human body temperatures had a mean 98.25 degree and astandard deviation of 0.73 degree. Construct a 99% confidence interval for the average body temperature ofhealthy people.
A random sample of 100 packs of aplles with a professed weight of 1 kg was found to have mean 1020g and standard deviation 12g. A. Find a 95% confidence interval for the mean weight of all such packs apple. B. Does the interval include 1 kg? Can you think of a reason (which any retailer would be able to tell you) why you might expect the interval not to include 1 kg? C. What confidence level would have resulted in the interval just about including 1kg
3 see picture
3b) see picture
1. On the Standford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 91 and a standard deviation of 6.59. What is the lower bound of the 90% confidence interval of the average IQ of the kindergarten pupils? 2. On the Standford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 94 and a standard deviation of 6.58. What is the margin of error of the 90% confidence interval of the average IQ of the kindergarten pupils? Note: Round your answer to 4 decimal places.
The birth weights of a sample of newborns were recorded for a group born to mothers who did not get regular prenatal care (Group 1) and for a group born to mothers who did (Group 2). A 93% confidence interval for 41 – 2 was computed as follows: (-2.12 pounds, -0.89 pounds) Interpret the endpoints of this interval in the context of this problem. Do not use the word "difference" in your answer.
5. a). What is a fundamental difference between the t statistic and a z-score in terms of variability? b). What value is estimated with a confidence interval using the t statistic?
A random sample of 180 men indicated that 50 were smokers, and a random sample of 150 women surveyed indicated that 39 smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers.

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