Question #1 For a just completed research project, the null hypothesis of the researchers was that the sample mean was equal to the population mean. Or in equation form: M . At the conclusion of the...

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Question #1<br>For a just completed research project, the null hypothesis of the researchers was that the sample mean was<br>equal to the population mean. Or in equation form: M .<br>At the conclusion of the study, the following information was known:<br>H = 32.4<br>M= 35.6<br>O= 6.3<br>n-25<br>See page 5 of your notes if you cannot remember what these symbols mean.<br>The formula to calculate Z for a population is: Z=M-/(6/Vn). Note that the formula differs from a<br>sample z which you have calculated in the past. You may calculate the numerator and denominator<br>separately, then calculate the actual Z.<br>a.<br>2.54<br>b. 1.56<br>с.<br>2.35<br>d. 1.6<br>Question #2<br>Assume your a is .05. What should be their decision about the null hypothesis and the conclusion for the<br>study from Question 1? Use the z-table for this question. HINT: Does the z go beyond the threshold that<br>represents 95% of the area under the curve? If so your null is rejected. Apply this logic to the following<br>question.<br>Hint: Is the sample mean far enough from the population mean at the .05 level?<br>Do not reject; the threshold was equivalent to 95% of the area under the curve (p = .05).<br>b. Reject; the sample mean was less than the threshold that represented 95% of the area under the<br>curve, hence p>.05.<br>c. Reject; the sample mean was above the threshold that represented 95% of the area under the<br>curve, hence p<.05.<br>a.<br>

Extracted text: Question #1 For a just completed research project, the null hypothesis of the researchers was that the sample mean was equal to the population mean. Or in equation form: M . At the conclusion of the study, the following information was known: H = 32.4 M= 35.6 O= 6.3 n-25 See page 5 of your notes if you cannot remember what these symbols mean. The formula to calculate Z for a population is: Z=M-/(6/Vn). Note that the formula differs from a sample z which you have calculated in the past. You may calculate the numerator and denominator separately, then calculate the actual Z. a. 2.54 b. 1.56 с. 2.35 d. 1.6 Question #2 Assume your a is .05. What should be their decision about the null hypothesis and the conclusion for the study from Question 1? Use the z-table for this question. HINT: Does the z go beyond the threshold that represents 95% of the area under the curve? If so your null is rejected. Apply this logic to the following question. Hint: Is the sample mean far enough from the population mean at the .05 level? Do not reject; the threshold was equivalent to 95% of the area under the curve (p = .05). b. Reject; the sample mean was less than the threshold that represented 95% of the area under the curve, hence p>.05. c. Reject; the sample mean was above the threshold that represented 95% of the area under the curve, hence p<.05.>

Question #3<br>Assume your a is .01. What should be their decision about the null hypothesis and the conclusion for the<br>study from Question 1? Again, use the z-table for this question.<br>Do not reject; the threshold was equivalent to 95% of the area under the curve (p = .05).<br>b. Reject; the sample mean was less than the threshold that represented 99% of the area under the<br>curve, hencep>.01.<br>Reject; the sample mean was above the threshold that represented 99% of the area under the<br>curve, hence p<.01.<br>а.<br>с.<br>Question #4<br>Assume your a is .001. What should<br>the study from Question 1? Again, use the z-table for this question.<br>their decision<br>null hypothesis and the conclusion for<br>a. Reject; the sample mean was beyond the threshold that represented 99.9 % of the area under the<br>curve, hencep<.001.<br>b. Do not reject. The sample mean was NOT beyond the threshold that represented 99.9% of the<br>area under the curve, hence p >.001.<br>c. Reject; the sample mean was NOT beyond the threshold that represented 99.9% of the area under<br>the curve, hence p <.001.<br>

Extracted text: Question #3 Assume your a is .01. What should be their decision about the null hypothesis and the conclusion for the study from Question 1? Again, use the z-table for this question. Do not reject; the threshold was equivalent to 95% of the area under the curve (p = .05). b. Reject; the sample mean was less than the threshold that represented 99% of the area under the curve, hencep>.01. Reject; the sample mean was above the threshold that represented 99% of the area under the curve, hence p<.01. а.="" с.="" question="" #4="" assume="" your="" a="" is="" .001.="" what="" should="" the="" study="" from="" question="" 1?="" again,="" use="" the="" z-table="" for="" this="" question.="" their="" decision="" null="" hypothesis="" and="" the="" conclusion="" for="" a.="" reject;="" the="" sample="" mean="" was="" beyond="" the="" threshold="" that="" represented="" 99.9="" %="" of="" the="" area="" under="" the="" curve,=""><.001. b.="" do="" not="" reject.="" the="" sample="" mean="" was="" not="" beyond="" the="" threshold="" that="" represented="" 99.9%="" of="" the="" area="" under="" the="" curve,="" hence="" p="">.001. c. Reject; the sample mean was NOT beyond the threshold that represented 99.9% of the area under the curve, hence p <.001.>

Jun 02, 2022

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Question #1 For a just completed research project, the null hypothesis of the researchers was that the sample mean was equal to the population mean. Or in equation form: M . At the conclusion of the...

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