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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 interval. (Round your lower and upper bounds to two decimal places.) 95% C.I.

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 interval. (Round your lower and upper bounds to two decimal places.) 95% C.I.

MATLAB: An Introduction with Applications
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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Hello, can someone please help me complete this graph? I don't understand

In 1955, *Life Magazine* reported that a 25-year-old mother of three worked, on average, an 80-hour week. Recently, many groups have been studying whether or not the women's movement has resulted in an increase in the average work week for women (combining employment and at-home work). Suppose a study was done to determine if the mean work week has increased. 71 women were surveyed with the following results: The sample mean was 83; the sample standard deviation was 10. Does it appear that the mean work week has increased for women 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.) - Part (a) - Part (b) - Part (c) - Part (d) - Part (e) - Part (f) - Part (g) - Part (h) - Part (i) **Task:** 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 interval. (Round your lower and upper bounds to two decimal places.) **Graph Explanation:** The graph is a bell-shaped curve representing the normal distribution. It is shaded in the middle to indicate a 95% confidence interval (CI). The horizontal line at the base of the curve is labeled with boxes representing the point estimate and the lower and upper bounds of the confidence interval.
Transcribed Image Text:In 1955, *Life Magazine* reported that a 25-year-old mother of three worked, on average, an 80-hour week. Recently, many groups have been studying whether or not the women's movement has resulted in an increase in the average work week for women (combining employment and at-home work). Suppose a study was done to determine if the mean work week has increased. 71 women were surveyed with the following results: The sample mean was 83; the sample standard deviation was 10. Does it appear that the mean work week has increased for women 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.) - Part (a) - Part (b) - Part (c) - Part (d) - Part (e) - Part (f) - Part (g) - Part (h) - Part (i) **Task:** 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 interval. (Round your lower and upper bounds to two decimal places.) **Graph Explanation:** The graph is a bell-shaped curve representing the normal distribution. It is shaded in the middle to indicate a 95% confidence interval (CI). The horizontal line at the base of the curve is labeled with boxes representing the point estimate and the lower and upper bounds of the confidence interval.
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