Question

Do teenage boys and teenage girls have significantly different social media habits? A sociologist wants to examine this question at the 0.01 level of significance. Let μB represent the average time spent by teenage boy on social media per day and μG represent the average time spent per day on social media by a teenage girl. (Round your results to three decimal places) Which would be correct hypotheses for this test? Ho: μB = μG Ha: μB ≠ μG A random sample of 42 teenage boys spent an average of 95.6 minutes on social media with a standard deviation of 3. A random sample of 44 teenage girls spent an average of 97.8 minutes on social media, with a standard deviation of 2.7. Find the test statistic (2 decimals): Give the P-value (4 decimals): Which is the correct result: Do not Reject the Null Hypothesis Which would be the appropriate conclusion? There is not significant evidence to suggest that boys and girls differ in their social media habits.

          Do teenage boys and teenage girls have significantly different social media habits? A sociologist wants to examine this question at the 0.01 level of significance. Let μB represent the average time spent by teenage boy on social media per day and μG represent the average time spent per day on social media by a teenage girl. (Round your results to three decimal places)

Which would be correct hypotheses for this test?
Ho: μB = μG
Ha: μB ≠ μG

A random sample of 42 teenage boys spent an average of 95.6 minutes on social media with a standard deviation of 3. A random sample of 44 teenage girls spent an average of 97.8 minutes on social media, with a standard deviation of 2.7.

Find the test statistic (2 decimals):
Give the P-value (4 decimals):

Which is the correct result:
Do not Reject the Null Hypothesis

Which would be the appropriate conclusion?
There is not significant evidence to suggest that boys and girls differ in their social media habits.

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Added by Eric M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

08/01/2023

Step 1

Since we are testing whether there is a significant difference between the average time spent by teenage boys and girls on social media, our hypotheses will be: H0: gu = gc (There is no significant difference between the average time spent by teenage boys and Show more…

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Do teenage boys and teenage girls have significantly different social media habits? A sociologist wants to examine this question at the 0.01 level of significance. Let μB represent the average time spent by teenage boy on social media per day and μG represent the average time spent per day on social media by a teenage girl. (Round your results to three decimal places) Which would be correct hypotheses for this test? Ho: μB = μG Ha: μB ≠ μG A random sample of 42 teenage boys spent an average of 95.6 minutes on social media with a standard deviation of 3. A random sample of 44 teenage girls spent an average of 97.8 minutes on social media, with a standard deviation of 2.7. Find the test statistic (2 decimals): Give the P-value (4 decimals): Which is the correct result: Do not Reject the Null Hypothesis Which would be the appropriate conclusion? There is not significant evidence to suggest that boys and girls differ in their social media habits.

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00:01 Hello student, do teenager boys and the teenager girls have significantly different social media habits? then the given, a sociologist want to examine this question at the level of significance 0 .001 okay, it's a 0 .01.

00:21 Let the mu1 represent the average time spent by the teenager of the boy.

00:26 Mu1 is for boy and the mu2 is for the girl.

00:34 Then what will be the correct hypothesis on this test? then to test here, there is a significant difference between the mean type of the both.

00:43 Then mu1 is equal to mu2 versus alternative hypothesis mu1 is not equal to mu2.

00:50 Then a random sample of 42, n equals to 42.

00:56 Boys spend an average of the, n1 equal to 42, x1 bar equal to 95 .6 minutes on the social media with the standard deviation s1 is equal to 3.

01:10 A random sample of 44 girls with the average mean x2 bar is equal to 97 .8 and with the standard deviation s2 is equal to 2 .7.

01:26 Test statistics for this test is given by p is equal to x1 bar minus i under root of h1 square upon n1 plus h2 square upon n2.

01:46 This is our test statistics.

01:51 Now put the value one by one.

01:53 X1 bar is equal to 95 .6 and x2 bar is equal to 97 .8 divided by under root of s1 square.

02:10 S1 is equal to 3 square divided by n1 which is equal to 42 and the s2 square is equal to 2 .7 square divided by n2 which is equal to 44.

02:21 Now simplify this because the value of t is equal to minus 3 .5691.

02:28 Before comparing, we have to find the p value.

02:32 Then also take the absolute value of this...

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