A researcher wants to assess if there is a difference in the average life spans between men and women in Japan. A random sample of 10 women showed an average life span of 83 years old, with a sample standard deviation of 7 years. A random sample of 10 men showed an average life span of 77 years, with a sample standard deviation of 6.4 years. Assume that life spans are normally distributed. d. State the null and alternative hypothesis e. Give the p-value f. Give a conclusion for the hypothesis test
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 researcher wants to assess if there is a difference in the average life spans between men and women in Japan. A random sample of 10 women showed an average life span of 83 years old, with a sample standard deviation of 7 years. A random sample of 10 men showed an average life span of 77 years, with a sample standard deviation of 6.4 years. Assume that life spans are
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d. State the null and alternative hypothesis |
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e. Give the p-value |
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f. Give a conclusion for the hypothesis test |
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