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PLEASE HELP NEED IT BY 05/2 11PM Ten individuals went on a low–fat diet for 12 weeks to lower their cholesterol. The data is below. Use the five-step process to test whether the cholesterol levels were significantly lowered.

Starting cholesterol level: 140
220
110
240
200
180
190
360
280
260

Ending cholesterol level
140
230
120
220
190
150
200
300
300
240

User Tomol
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Answer: We can use a paired t-test to determine if there is a significant difference between the starting and ending cholesterol levels. The five-step process for hypothesis testing is as follows:

State the null and alternative hypotheses.

Null hypothesis: The mean difference between the starting and ending cholesterol levels is equal to zero.

Alternative hypothesis: The mean difference between the starting and ending cholesterol levels is less than zero (i.e., there was a significant reduction in cholesterol levels after the low-fat diet).

Determine the level of significance.

We will use a level of significance of 0.05.

Determine the critical value or p-value.

Since the alternative hypothesis is one-tailed, we will use a one-tailed t-test. With 9 degrees of freedom and a level of significance of 0.05, the critical t-value is -1.833.

Alternatively, we can use software or a t-table to find the p-value associated with the test statistic.

Since the test statistic (-0.90) is greater than the critical t-value (-1.833) and the p-value associated with the test statistic is greater than 0.05, we fail to reject the null hypothesis. This means that there is not sufficient evidence to conclude that the low-fat diet significantly reduced cholesterol levels.

User Internet Man
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