YouTube Would Like to Test the Hypothesis That the Average $$t \bar { x }$$

question 85

Multiple Choice

YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. YouTube would like to set ? = 0.02. The test statistic for this hypothesis test would be --------- .

• A)\[t \bar { x }\] = 1.89
• B)\[z \bar { x }\]= 2.23
• C)\[z \bar { x }\]= 1.70
• D)\[t \bar { x }\] = 2.06

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Definitions:

Pearson

Refers to Pearson's correlation coefficient, a measure of the linear correlation between two variables, denoted by the letter r.

Interval-Level

A type of data measurement that includes meaningful and equal distances between measurements but lacks a true zero, allowing for the calculation of differences and averages.

Pearson's Correlation Coefficient

A statistical measure of the linear relationship between two variables, ranging from -1 to 1.

Coefficient of Determination

A statistical measure, often represented as R^2, that represents the proportion of variance for a dependent variable that's predictable from an independent variable(s).