Suppose that the financial stress, a type of stress related to the perception of not having the necessary to satisfy basic needs, in a general population is normally distributed with a mean of 52 and a standard deviation of 8 (M= 52, SD= 8) (in a scale of 0-100). Our friend works at a restaurant that has been serving at limited capacity during the last 6 months due the COVID pandemic, he scored a mean of 68 in the financial stress measure. Is this score sufficiently above the mean for us to assume that his score in financial stress is different compared to the general population? Step 1. State your hypotheses. H0: H1: Step 2. Set the significance level. = .05 Step 3. Do the statistics. a. Compute the z score. b. Determine whether the value of the test statistic is in the critical region (hint: draw a diagram) Step 4. Draw conclusions. (Would you reject the null hypothesis?)
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.
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Suppose that the financial stress, a type of stress related to the perception of not having the necessary to satisfy basic needs, in a general population is
normally distributed with a mean of 52 and a standard deviation of 8 (M= 52, SD= 8) (in a scale of 0-100). Our friend works at a restaurant that has been serving at limited capacity during the last 6 months due the COVID pandemic, he scored a mean of 68 in the financial stress measure. Is this score sufficiently above the mean for us to assume that his score in financial stress is different compared to the general population?
Step 1. State your hypotheses.
H0:
H1:
Step 2. Set the significance level. = .05
Step 3. Do the statistics.
a. Compute the z score.
b. Determine whether the value of the test statistic is in the critical region (hint: draw a diagram)
Step 4. Draw conclusions. (Would you reject the null hypothesis?)
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