Cholesterol levels of adult males are approximately normally distributed with a mean of mg/dL and a listed standard deviation of . Some researchers claim that the standard deviation of cholesterol levels of adult males is less than . Suppose that we want to carry out a hypothesis test to see if the actual standard deviation of cholesterol levels of adult males is less than . State the null hypothesis and the alternative hypothesis that we would
You have no data indicated, probably because copy and paste does not work.
Ho = null hypothesis = no difference
H1 = alternate hypothesis = SD < ?
I hope this helps a little. If not, repost with adequate data.
To carry out a hypothesis test to determine if the actual standard deviation of cholesterol levels of adult males is less than a certain value (let's say X), we need to state the null hypothesis and the alternative hypothesis.
The null hypothesis (H0) is the statement that there is no significant difference or effect. In this case, the null hypothesis would be:
H0: The actual standard deviation of cholesterol levels of adult males is NOT less than X.
The alternative hypothesis (Ha) is the statement that contradicts the null hypothesis and suggests that there is a significant difference or effect. In this case, the alternative hypothesis would be:
Ha: The actual standard deviation of cholesterol levels of adult males is LESS than X.
So, in summary, the null hypothesis (H0) states that there is no difference in the actual standard deviation of cholesterol levels compared to the specified value X, while the alternative hypothesis (Ha) states that the actual standard deviation is less than X.