The Digital 2021 global report has documented the effects of the COVID-19 pandemic on our digital behaviour. Specifically, it records the average daily time that Internet users aged between 16 to 64 years spent on social media is 3.276 hours (?0=3.276μ0=3.276) . A researcher calculated the average daily time spent on social media for a random sample of n = 4949 Internet users aged between 16 to 64 years. The sample mean ?¯y¯ is equal to 4.74.7 hours and the sample variance ?2?−1sn−12 is equal to 5.65.6 ℎ????2hours2. The research is interested in: “Is the average daily time spent on social media equal to hypothesised hours spent per day?” For the remaining questions you may assume that any relevant assumptions have been met. The absolute value of the test statistic is equal to (type your answer with 3 dp) Answer The degrees of freedom is equal to (type your answer as an integer) Answer A group of researchers believe that the population mean time spent per day on social media for Internet users aged between 16 to 64 years has shifted. They want to estimate the 95% confidence interval for the population mean by using a random sample of 35 individuals where the mean is 5.176 hours and standard deviation is 2.866 hours. They calculate the 95% confidence interval to be ....... (lower limit) and .......... (upper limit). Type your answers with 3dp

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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The Digital 2021 global report has documented the effects of the COVID-19 pandemic on our digital behaviour. Specifically, it records the average daily time that Internet users aged between 16 to 64 years spent on social media is 3.276 hours (?0=3.276μ0=3.276) . A researcher calculated the average daily time spent on social media for a random sample of n = 4949 Internet users aged between 16 to 64 years. The sample mean ?¯y¯ is equal to 4.74.7 hours and the sample variance ?2?−1sn−12 is equal to 5.65.6 ℎ????2hours2. The research is interested in: “Is the average daily time spent on social media equal to hypothesised hours spent per day?”

For the remaining questions you may assume that any relevant assumptions have been met.

The absolute value of the test statistic is equal to (type your answer with 3 dp) Answer
The degrees of freedom is equal to (type your answer as an integer) Answer
A group of researchers believe that the population mean time spent per day on social media for Internet users aged between 16 to 64 years has shifted. They want to estimate the 95% confidence interval for the population mean by using a random sample of 35 individuals where the mean is 5.176 hours and standard deviation is 2.866 hours. They calculate the 95% confidence interval to be ....... (lower limit) and .......... (upper limit). Type your answers with 3dp

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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