According to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per month each teenager watched social media posts was 15.6. This data has a sample standard deviation of 2.5. (Assume that the scores are normally distributed.) Researchers conduct a one-mean hypothesis at the 5% significance level to test if the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year. The null and alternative hypotheses are H0:μ=14.8; Ha:μ>14.8, which is a right-tailed test. Determine the test statistic, rounded to two decimal places.

The value of test statistics is 1.06.

Step-by-step explanation:

We are given that according to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per month each teenager watched social media posts was 15.6. This data has a sample standard deviation of 2.5.

We have to test if the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year or not.

Let, NULL HYPOTHESIS, : = 14.8 hours  {means that the mean amount of time American teenagers watch social media posts per month is same as the mean amount of time last year}

ALTERNATE HYPOTHESIS, : > 14.8 hours  {means that the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year}

The test statistics that will be used here is One-sample t-test;

             T.S. = ~

where,  = sample mean amount of time per month each teenager watched social media posts = 15.6 hours

              = sample standard deviation = 2.5 hours

             n = sample of teenagers = 11

So, test statistics =   ~

                            = 1.06

Hence, the value of test statistics is 1.06.

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

step-by-step explanation: