The daily electrical energy consumption (in Watts) during July for a random sample of 16 households was recorded. The mean was 3307 W and the standard deviation was 327 W. Assume the underlying distribution of the consumption is normal. Find the lower confidence limit (LCL) of the 95% confidence interval for the mean daily electrical energy consumption during that month. Round your answer to the nearest whole number (integer).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1: The daily electrical energy consumption (in Watts) during July for a random sample of 16 households was recorded. The mean was 3307 W and the standard deviation was 327 W. Assume the underlying distribution of the consumption is normal. Find the lower confidence limit (LCL) of the 95% confidence interval for the mean daily electrical energy consumption during that month. Round your answer to the nearest whole number (integer).

2: The daily electrical energy consumption (in Watts) during July for a random sample of 49 households was recorded. The mean was 4377 W and the standard deviation was 335 W. Find the upper confidence limit (UCL) of the 95% confidence interval for the mean daily electrical energy consumption during that month. Round your answer to the nearest whole number (integer).

3:  The time spent, in minutes, on physical activities per day was recorded for a sample of college students. The 90% and 99% confidence intervals for the mean time spent on physical activities are (56.026, 59.974) and (54.909, 61.091). Which of the following would be a 95% confidence interval calculated from the sample data used to create the confidence intervals above?

4: 

Which of the following statements is NOT true with respect to the t distribution?

   

The exact shape of the t distribution depends on the number of degrees of freedom.

   

The t distribution is symmetrical.

   

The t distribution is more spread out than the standard normal distribution.

   

The t distribution is less spread out than the standard normal distribution.

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