A group of men and a group of women are participating in a small study on choles

Question

A group of men and a group of women are participating in a small study on cholesterol. Neither the men nor the women are known to have any problems with high cholesterol. The researcher conducting the study wishes to determine if there is evidence that the cholesterol level for men tend:s to be higher than the cholesterol level for women. The cholesterol measurements for the study participants, which are drawn from independent samplings of men and women (that is, they are not linked samples), are given below. Gender 1 23 5 6 7 8 9 10 11 12 13 Women 200 270 288 296 270 180 268 244 210 207 251 221 198 Men 224 310 266 332 244 178280 276 242 310 299 Assume that the populations that these subjects are sampled from are Normal and have the same standard deviation. (a) State the hypothesis that you plan to test and the test you will use. (b) What is the test statistic and the p-value for your significance test? (c) Can the null hypothesis be rejected?

Explanation / Answer

We will use Two sample t test:

Null hypothesis ; There is no evidence that the cholesterol level for men tends to be higher than the cholestrol level for women

Alternative Hypotheisis :There is evidence that the cholesterol level for men tends to be higher than the cholestrol level for women.

Minitab output:

Two-Sample T-Test and CI: Women, Men

Two-sample T for Women vs Men

SE
N Mean StDev Mean
Women 13 238.7 38.1 11
Men 11 269.2 44.8 14

Difference = mu (Women) - mu (Men)
Estimate for difference: -30.5
95% lower bound for difference: -60.2
T-Test of difference = 0 (vs >): T-Value = -1.78 P-Value = 0.954 DF = 19

P-value 0.954 > 0.05 so We do not reject the null hypothesis.

Hope this will be helpful. Thanks and God Bless You :-)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.