The 90% confidence interval is _________, _______________ (round to 2 decimal places) The 95% confidence interval is _________, _______________(round to 2 decimal places) Which interval is wider The 90% confidence interval or 95% confidence interval Interpret the results: A. You can be 90% confident that the population mean price of the stock is outside the bounds of the 90% interval and 95% confidence interval B. You can be certain the closing price of the stock was within the 90% confidence interval for approximately 36 of the confidence interval for approximately 38 of the 40 days. C. You can be 90% confident that the population mean price of the stock is between the bounds of the 90% confidence interval and 95% interval. D. You can be certain that the population mean price of the stock is either between the lower bounds of the 90% and 95% bounds of the 90% and 95% confidence intervals.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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Section 6.1, please help with TI-84 commands if possible

You are given the sample mean and the population standard deviation.  Use this information to construct the 90% and 95% confidence intervals for the population mean.  Interpret the results and compare the widths of the confidence intervals.  

From a random sample of 40 business days, the mean closing price of a certain stock was $124.93. Assume the population standard deviation is $11.04.

The 90% confidence interval is _________, _______________ (round to 2 decimal places)

The 95% confidence interval is _________, _______________(round to 2 decimal places)

Which interval is wider

The 90% confidence interval or 95% confidence interval

Interpret the results:

A. You can be 90% confident that the population mean price of the stock is outside the bounds of the 90% interval and 95% confidence interval

B. You can be certain the closing price of the stock was within the 90% confidence interval for approximately 36 of the confidence interval for approximately 38 of the 40 days.

C. You can be 90% confident that the population mean price of the stock is between the bounds of the 90% confidence interval and 95% interval.

D. You can be certain that the population mean price of the stock is either between the lower bounds of the 90% and 95% bounds of the 90% and 95% confidence intervals.

 

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