Two sample T for Men vs Women SE Mean A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were Mean StDev Men Women 98% Cl for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs <) 54 112.1 11.5 1.6 70 118.7 14.7 1.8 obtained. T= - 2.81 P = 0.0029 DF = 121 (a) State the null and alternative hypotheses. Which of the following is correct? A. Ho: H1 = H;Hai H1 H2 O C. Ho: H1 = H2; Ha: H1 # H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![A physical therapist wanted to know whether the mean step pulse of men was less than
the mean step pulse of women. She randomly selected 54 men and 70 women to
participate in the study. Each subject was required to step up and down a 6-inch
platform. The pulse of each subject was then recorded. The following results were
obtained.
Two sample T for Men vs Women
N
Mean
StDev
SE Mean
Men
Women
98% CI for mu Men - mu Women
(- 12.20, - 1.00)
T-Test mu Men = mu Women (vs <)
T= - 2.81 P = 0.0029 DF = 121
54
112.1
11.5
1.6
70
118.7
14.7
1.8
(a) State the null and alternative hypotheses. Which of the following is correct?
A. Ho: H1 = H2; Hạ: H1 <H2
O B. Ho: H1 = H2; Ha: H1> H2
O C. Ho: H1 = H2; Ha: H1 #H2
(b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value?
P-value =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F811f418d-6669-44c5-b596-25dc94c77f5d%2Fbd7c0c76-2f42-4802-bac1-bcc1cfe06621%2F81qcg7x_processed.png&w=3840&q=75)
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