Suppose that the average time spent per day with digital media several years ago was 3 hours and 27 minutes. For last year, a random sample of 20 adults in a certain region spent the numbers of hours per day with digital media given in the accompanying table. Preliminary data analyses indicate that the t-interval procedure can reasonably be applied. Find and interpret a 95% confidence interval for last year's mean time spent per day with digital media by adults of the region. (Note: x=5.45 hr and s=2.20 hr.) Click here to view the digital media times. LOADING... Click here to view page 1 of the t-table. LOADING... Click here to view page 2 of the t-table. LOADING... Question content area bottom Part 1 The 95% confidence interval is from enter your response here hour(s) to enter your response here hour(s). (Round to two decimal places as needed.) Part 2 Interpret the 95% confidence interval. Select all that apply. A. With 95% confidence, the mean amount of time spent per day on digital media last year by all adults in the region is between the interval's bounds. B. 95% of all adults in the region spent amounts of time per day on digital media last year that are between the interval's bounds. C. 95% of all possible random samples of 20 adults in the region have mean amounts of time spent per day on digital media last year that are between the interval's bounds. D. There is a 95% chance that the mean amount of time spent per day on digital media last year by all adults in the region is between the interval's bounds.

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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Question content area bottom

Part 1

The

95%

confidence interval is from

enter your response here

hour(s) to

enter your response here

hour(s).

(Round to two decimal places as needed.)

Part 2

Interpret the

95%

confidence interval. Select all that apply.

With

95%

confidence, the mean amount of time spent per day on digital media last year by all adults in the region is between the interval's bounds.

95%

of all adults in the region spent amounts of time per day on digital media last year that are between the interval's bounds.

95%

of all possible random samples of

adults in the region have mean amounts of time spent per day on digital media last year that are between the interval's bounds.

There is a

95%

chance that the mean amount of time spent per day on digital media last year by all adults in the region is between the interval's bounds.

Digital Media Times

2.1	5.5	6.4	4.3	5.6
2.6	6.8	2.6	8.1	9.5
7.4	6.0	9.5	4.5	2.8
3.2	5.6	5.1	4.4	6.9

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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