3. Suppose that we want to compare the clarity of two lakes in North America. The clarity of Lake Tahoe was measured at 50 places and the average depth of clarity was 4 meters with a standard deviation of 0.25 meters. The clarity of Lake Michigan was measured at 55 places and the average depth of clarity was 3 meters with a standard deviation of 0.5 meters. Test the hypothesis at a 5% significant level that there is no difference in the mean depth of clarity.

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3. Suppose that we want to compare the clarity of two lakes in North
America. The clarity of Lake Tahoe was measured at 50 places and the
average depth of clarity was 4 meters with a standard deviation of 0.25
meters. The clarity of Lake Michigan was measured at 55 places and the
average depth of clarity was 3 meters with a standard deviation of 0.5
meters. Test the hypothesis at a 5% significant level that there is no
difference in the mean depth of clarity.
Transcribed Image Text:3. Suppose that we want to compare the clarity of two lakes in North America. The clarity of Lake Tahoe was measured at 50 places and the average depth of clarity was 4 meters with a standard deviation of 0.25 meters. The clarity of Lake Michigan was measured at 55 places and the average depth of clarity was 3 meters with a standard deviation of 0.5 meters. Test the hypothesis at a 5% significant level that there is no difference in the mean depth of clarity.
If the number of eggs laid by
sparrows follows a normal distribution, test at a 5% level of significance if
the conservationist's claim is true.
6. A medical doctor claims that the proportion of female patients with high
blood-pressure is smaller than the proportion of male patients with high
blood-pressure. The doctor conducted a survey in his practice. Out of the
100 female patients only 13 had high blood-pressure and out of the 110
male patients, 33 had high blood-pressure. Test the doctor's claim at a 5%
level of significance. Assume that the population proportions are equal.
Transcribed Image Text:If the number of eggs laid by sparrows follows a normal distribution, test at a 5% level of significance if the conservationist's claim is true. 6. A medical doctor claims that the proportion of female patients with high blood-pressure is smaller than the proportion of male patients with high blood-pressure. The doctor conducted a survey in his practice. Out of the 100 female patients only 13 had high blood-pressure and out of the 110 male patients, 33 had high blood-pressure. Test the doctor's claim at a 5% level of significance. Assume that the population proportions are equal.
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