Question

5. A marketing companies claim that teenage girls use more social media apps on their mobile devices the teenage boys. A particular study of teenagers with mobile devices was conducted and the summary statistics are summarized in the table below. Is there evidence to suggest the mean number of social media apps used by teenage girls is greater? n x s Boys 38 2.1 0.9 Girls 31 3.3 1.4 a. (2 points) State the null and alternative hypotheses. b. (2 points) Determine the appropriate critical value(s) using $\alpha = 0.01$. If using degrees of freedom, provide the value used. c. (4 points) Calculate the appropriate test statistic. Provide the form, setup and value. d. (2 points) Determine the corresponding p-value. e. (2 points) Make a decision and justify your choice.

          5. A marketing companies claim that teenage girls use more social media apps on their mobile devices the teenage boys. A particular study of teenagers with mobile devices was conducted and the summary statistics are summarized in the table below. Is there evidence to suggest the mean number of social media apps used by teenage girls is greater?
n x s
Boys 38 2.1 0.9
Girls 31 3.3 1.4
a. (2 points) State the null and alternative hypotheses.
b. (2 points) Determine the appropriate critical value(s) using $\alpha = 0.01$. If using degrees of freedom, provide the value used.
c. (4 points) Calculate the appropriate test statistic. Provide the form, setup and value.
d. (2 points) Determine the corresponding p-value.
e. (2 points) Make a decision and justify your choice.

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5 a marketing companies claim that teenage girls use more social media apps on their mobile devices the teenage boys a particular study of teenagers with mobile devices was conducted and the 45635

Added by Nerea H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Sri K

06/22/2023

Step 1

The null hypothesis is $H_0: \mu_1 = \mu_2$ (or $\mu_1 - \mu_2 = 0$). The alternative hypothesis is $H_1: \mu_1 < \mu_2$ (or $\mu_1 - \mu_2 < 0$). This is a one-tailed test. Show more…

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5. A marketing companies claim that teenage girls use more social media apps on their mobile devices the teenage boys. A particular study of teenagers with mobile devices was conducted and the summary statistics are summarized in the table below. Is there evidence to suggest the mean number of social media apps used by teenage girls is greater? n x s Boys 38 2.1 0.9 Girls 31 3.3 1.4 a. (2 points) State the null and alternative hypotheses. b. (2 points) Determine the appropriate critical value(s) using $\alpha = 0.01$. If using degrees of freedom, provide the value used. c. (4 points) Calculate the appropriate test statistic. Provide the form, setup and value. d. (2 points) Determine the corresponding p-value. e. (2 points) Make a decision and justify your choice.

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Transcript

00:01 Hello, let's have a look on the question.

00:02 So here let us represent that mu g is the average time of world spent on social media and mu b be the average time of boy spent on the social media.

00:12 This is mentioned to us in the question.

00:14 So we need to define an alternating hypothesis.

00:17 So we can say h naught will be that mu g minus mu b is equal to zero and h1 will be that mu g minus mu b is not equal to zero.

00:30 So we can say that option two is correct.

00:34 Option two is correct.

00:38 This is the answer for the a part or we can say first question.

00:43 Next it is given to us some certain information is provided to us.

00:46 Sample of 32 teenage boys spent average of 96 .7.

00:50 So we can say for boys, we have x1 bar is equal to 96 .7.

00:56 For girls we have 98 .8.

01:01 Then we have standard deviation s1 is equal to 6 .1 for boys and s2 is equal to 4 .9 for girls and the sample size n1 is equal to 32 and n2 is equal to 38.

01:15 Now we have already defined the null and alternating hypothesis.

01:18 So here first we need to find out the test statistics.

01:23 So the test statistics value will be equal to t is equal to x1 bar minus x2 bar.

01:29 This is the answer for the second question divided by under the root of s1 square divided by n1 plus s2 square divided by n2 which is equal to 96 .7 minus 98 .8 divided by under the root of 6 .1 square divided by 32 plus 4 .9 divided by 38 to the square of 4 .9...

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