Section 7.2 Learning Check|&lt;b&gt;For the questions 1-4, please use the following information.&lt;/b&gt;&lt;br&gt; An educator wishes to compare the average amount of time spent in extracurricular activities by high school students in a suburban school district with that in a school district of a large city. The researcher obtained a simple random sample of 60 high school students in a large suburban school district and found the mean time spent in extracurricular activities to be 6 hours with a standard deviation 3 hours. The researcher also obtained an independent sample of 40 high school students in a large city school district and found te mean time spent in extracurricular activities per week to be 4 hours with a standard deviation 2 hours. &lt;br&gt; Let &lt;span style='font-family:Symbol'&gt;m&lt;/span&gt;&lt;sub&gt;1&lt;/sub&gt; be the mean amount of time spent in extracurricular activities per week by the population of all high school students in a suburban school district. And&lt;br&gt; Let &lt;span style='font-family:Symbol'&gt;m&lt;/span&gt;&lt;sub&gt;2&lt;/sub&gt; be the mean amount of time spent in extracurricular activities per week by the population of all high school students in a large city school district.|Please enter your Full Name:|Your Email Address:|Your ID Number or Password:|Assuming two sample t procedures are safe to use, a 95% confidence interval for <span style='font-family:Symbol'>m</span><sub>1</sub>-<span style='font-family:Symbol'>m</span><sub>1</sub> is (use the conservative value for the degrees of freedom # 2&lt;img src=&quot;pm.jpg&quot;&gt;0.5 hours %% 2&lt;img src=&quot;pm.jpg&quot;&gt;0.84 hours %% 2&lt;img src=&quot;pm.jpg&quot;&gt;1.01 hours %% 2&lt;img src=&quot;pm.jpg&quot;&gt;1.34 hours %%|Referring to the above data, suppose the educator had wished to test the claim that mean for the suburban school district is higher than the mean for the large city school district. The appropriate set of hypotheses is # &lt;img src=&quot;twohypa.jpg&quot;&gt; %% &lt;img src=&quot;twohypb.jpg&quot;&gt; %% &lt;img src=&quot;twohypc.jpg&quot;&gt; %% &lt;img src=&quot;twohypd.jpg&quot;&gt; %%|Refering to the above data, suppose the educator had wished to test the hypotheses <br><img src="twohyptwo.jpg"><br> The test statistic is # &lt;br&gt;&lt;img src=&quot;twoteststata.jpg&quot;&gt; %% &lt;br&gt;&lt;img src=&quot;twoteststatb.jpg&quot;&gt; %% &lt;br&gt;&lt;img src=&quot;twoteststatc.jpg&quot;&gt; %% &lt;br&gt;&lt;img src=&quot;twoteststatd.jpg&quot;&gt; %%|Refering to the above data, suppose the educator had wished to test the hypotheses <br><img src="twohyptwo.jpg"><br> The P-value for the test is (use the conservative value for the degrees of freedom) # larger than 0.10. %% between 0.05 and 0.10. %% between 0.01 and 0.05. %% below 0.01. %%