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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= u. 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-p/(a/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 #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= u. 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-p/(a/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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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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 a. curve, hencep>.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 a 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, hencep>.001. c. Reject; the sample mean was NOT beyond the threshold that represented 99.9% of the area under the curve, hence p<.001.
Transcribed Image 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 a. curve, hencep>.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 a 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, hencep>.001. c. Reject; the sample mean was NOT beyond the threshold that represented 99.9% of the area under the curve, hence p<.001.
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 = u. 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- µ/(o/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. а. 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? 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.
Transcribed Image 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 = u. 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- µ/(o/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. а. 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? 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.
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