-Distribution Area in Richt Tail 1 Table of height data Degrees o Freedom 0,25 0,20 0.15 0.10 O816 1061 0.765 0.978 1250 0.941 1.190 Height of Father, X Height of O Son, Y 73.7 71. 69 0.741 68.6 67.6 67.2 68.6 716 0.706 0.889 0.700 0870 70.4 72.8 68.5 67.8 68.3 712 67.7 68.2 70.7 66.4 67.6 69,4 70,7 70 68.1 67 2 '0.8 72 8 0.684 0.856 1.058 1.315 3.067 3.435 33 三= 司基斗
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.

- [Click here to view the table of critical t-values.](#)
#### Conditions for the Test:
Which conditions must be met by the sample for this test? Select all that apply.
- [ ] A. The differences are normally distributed or the sample size is large.
- [ ] B. The sampling method results in an independent sample.
- [ ] C. The sample size is no more than 5% of the population size.
- [ ] D. The sampling method results in a dependent sample.
- [ ] E. The sample size must be large.
#### Hypotheses for the Test:
Let \( d_i = X_i - Y_i \). Write the hypotheses for the test:
- \( H_0 \): [Dropdown for Null Hypothesis]
- \( H_1 \): [Dropdown for Alternate Hypothesis]
#### Calculate the Test Statistic:
\[ t_0 = [Input Box] \] (Round to two decimal places as needed.)
#### Identify the Critical Value(s) for this Test:
Select the correct choice below and fill in all answer boxes within your choice. (Round to two decimal places as needed.)
- [ ] A. \(-t_{\alpha} = [Input Box]\)
- [ ] B. \( t_{\alpha} = [Input Box]\)
- [ ] C. \( t_{\alpha/2} = [Input Box] \) or \( -t_{\alpha/2} = [Input Box]\)
#### Decision Rule:
Compare the critical value to the test statistic. For a two-tailed test, reject the null hypothesis if \( t_0 < -t_{\alpha/2} \) or \( t_0 > t_{\alpha/2} \). For a left-tailed test, reject the null hypothesis if \( t_0 < -t_{\alpha} \). For a right-tailed test, reject the null hypothesis](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4175707-d254-4126-a791-753312836f35%2Faddabda3-560d-43ca-9493-33bbd7d3e726%2Fesd3rr_processed.png&w=3840&q=75)


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