In a survey of adults with diabetes, the average body mass index (BMI) in a sample of 2042 women was 31.4 with a standard deviation of 0.21. The BMI in a sample of 1567 men was 30.4, with a standard deviation of 0.72. Use significance level of 0.01 to test the claim that the mean BMI is the same for both men and women with diabetes. 1. Identify the significance level. 2. Find the test statistic. Round to four decimal places. 3.Find the p-value that associated with the test statistic. Round to four decimal places.
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.
In a survey of adults with diabetes, the average body mass index (BMI) in a sample of 2042 women was 31.4 with a standard deviation of 0.21. The BMI in a sample of 1567 men was 30.4, with a standard deviation of 0.72. Use significance level of 0.01 to test the claim that the mean BMI is the same for both men and women with diabetes.
1. Identify the significance level.
2. Find the test statistic. Round to four decimal places.
3.Find the p-value that associated with the test statistic. Round to four decimal places.
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