Hypothesis Testing and Single Sample TestingWrite an appropriate research hypothesis for comparing the height of your female subjects with the overall populations of females.Set your alpha level at p < .01 and find the critical region.Calculate your necessary statistics. Please show all calculations.State your outcome.If appropriate, address the effect size and the power of your test. Please show all calculations.Briefly discuss your results.Reminder: The population mean for height of females in the United States is 65.00 inches with a standard deviation of 3.50 inches. Female College Students College Females Non-College Females Aged 18 - 25 ParticipantHeight ParticipantTest 1Test 2 ParticpantTest 1Test 2167.00 164.0067.00 168.0073.00364.00 269.0072.00 265.0070.00566.00 364.0067.00 362.0064.00667.00 462.0067.00 464.0069.00762.00 563.0063.00 563.0068.00866.00 664.0065.00 668.0073.00965.00 763.0065.00 761.0066.001162.00 865.0067.00 865.0070.001363.00 966.0067.00 962.0067.001562.00 1067.0067.00 1065.0071.001663.00 1165.0068.00 1163.0068.001763.00 1263.0065.00 1261.0069.001863.00 1364.0065.00 1365.0070.001964.00 1465.0067.00 1468.0072.002064.00 1566.0071.00 1561.0066.002163.00 1664.0067.00 1663.0069.002263.00 1767.0067.00 1766.0071.002361.00 1861.0070.00 1860.0065.002463.00 1968.0070.00 1967.0072.002561.00 2065.0066.00 2064.0069.002666.00 2160.0063.00 2166.0071.002768.00 2269.0069.00 2263.0068.002865.00 2363.0065.00 2366.0071.002964.00 2465.0067.00 2464.0070.003270.00 2566.0067.00 2567.0072.003463.00 2665.0067.00 2660.0065.003565.00 2763.0067.00 2764.0069.003664.00 2870.0067.00 2862.0069.003766.00 2966.0066.00 2967.0072.003867.00 3068.0069.00 3060.0065.00Sum of scores =1930.00 Sum of scores =1950.002010.00 Sum of scores =1920.002074.00Average =64.33 Mean =65.0067.00 Mean =64.0069.00Standard Deviation =2.14 Standard Deviation =2.362.05 Standard Deviation =2.512.53

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Description: Hypothesis Testing and Single Sample TestingWrite an appropriate research hypothesis for comparing the height of your female subjects with the overall populations of females.Set your alpha level at p < .01 and find the critical region.Calculate your

Given : u(population mean for height of females)=65.00 inches. σ(population standard…

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Publisher:Amos Gilat

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Hypothesis Testing and Single Sample Testing

Write an appropriate research hypothesis for comparing the height of your female subjects with the overall populations of females.

Set your alpha level at p < .01 and find the critical region.

Calculate your necessary statistics. Please show all calculations.

State your outcome.

If appropriate, address the effect size and the power of your test. Please show all calculations.

Briefly discuss your results.

Reminder: The population mean for height of females in the United States is 65.00 inches with a standard deviation of 3.50 inches.

Female College Students		College Females			Non-College Females Aged 18 - 25

Participant	Height	Participant	Test 1	Test 2	Particpant	Test 1	Test 2
1	67.00	1	64.00	67.00	1	68.00	73.00
3	64.00	2	69.00	72.00	2	65.00	70.00
5	66.00	3	64.00	67.00	3	62.00	64.00
6	67.00	4	62.00	67.00	4	64.00	69.00
7	62.00	5	63.00	63.00	5	63.00	68.00
8	66.00	6	64.00	65.00	6	68.00	73.00
9	65.00	7	63.00	65.00	7	61.00	66.00
11	62.00	8	65.00	67.00	8	65.00	70.00
13	63.00	9	66.00	67.00	9	62.00	67.00
15	62.00	10	67.00	67.00	10	65.00	71.00
16	63.00	11	65.00	68.00	11	63.00	68.00
17	63.00	12	63.00	65.00	12	61.00	69.00
18	63.00	13	64.00	65.00	13	65.00	70.00
19	64.00	14	65.00	67.00	14	68.00	72.00
20	64.00	15	66.00	71.00	15	61.00	66.00
21	63.00	16	64.00	67.00	16	63.00	69.00
22	63.00	17	67.00	67.00	17	66.00	71.00
23	61.00	18	61.00	70.00	18	60.00	65.00
24	63.00	19	68.00	70.00	19	67.00	72.00
25	61.00	20	65.00	66.00	20	64.00	69.00
26	66.00	21	60.00	63.00	21	66.00	71.00
27	68.00	22	69.00	69.00	22	63.00	68.00
28	65.00	23	63.00	65.00	23	66.00	71.00
29	64.00	24	65.00	67.00	24	64.00	70.00
32	70.00	25	66.00	67.00	25	67.00	72.00
34	63.00	26	65.00	67.00	26	60.00	65.00
35	65.00	27	63.00	67.00	27	64.00	69.00
36	64.00	28	70.00	67.00	28	62.00	69.00
37	66.00	29	66.00	66.00	29	67.00	72.00
38	67.00	30	68.00	69.00	30	60.00	65.00
Sum of scores =	1930.00	Sum of scores =	1950.00	2010.00	Sum of scores =	1920.00	2074.00
Average =	64.33	Mean =	65.00	67.00	Mean =	64.00	69.00
Standard Deviation =	2.14	Standard Deviation =	2.36	2.05	Standard Deviation =	2.51	2.53

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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