Please answer question 3. **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 = μ.At the conclusion of the study, the following information was known:- μ = 32.4- M = 35.6- σ = 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 - μ / (σ/√n). 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 c. 2.35 d. 1.6 **Question #2**Assume your α = .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?a. 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**Assume your α 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.a. 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, hence p > .01.c. Reject; the sample mean was above the threshold that represented 99% of the area under the curve, hence p < .01.---**Question #4**Assume your α is .001. 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.a. Reject; the sample mean was beyond the threshold that represented 99.9% of the area under the curve, hence p < .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.

Name: Please answer question 3. **Question #1**For a just-completed research
Uploaded: 2024-03-20T07:07:37.000Z
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Description: Please answer question 3. **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 = μ.At the conclusion of the study, the following