A pilot study to evaluate the serum alpha tocopherol levels (serum vitamin E) wa

Question

A pilot study to evaluate the serum alpha tocopherol levels (serum vitamin E) was conducted to evaluate the toxicity among 14 people who regularly take vitamin-E supplements. The vitamin E levels for the 15 participants are listed below. If the level of alpha tocopherol in the general population 860 g/dL, conduct a hypothesis test to determine if those who take supplements have significantly different levels of serum alpha tocopherol with alpha = 5% and the sample standard deviation is 472.57 g/dL. 690 2010 1350 780 1505 1235 810 1990 1105 655 1010 1570 980 1005 1150 1. What hypothesis test is appropriate to answer this research question? a. b. c. d. One-sample t test One-sample Z Test Matched t Test Chi-Square test for association/independence 2. What is the alternative hypothesis? There is no significant difference in serum alpha tocopherol levels. Those who take vitamin-E supplements have significantly different alpha tocopherol evels. Those who take vitamin-E supplements have significantly greater alpha tocopherol levels. Those who take vitamin-E supplements have significantly lower alpha tocopherol level a. b. c. d. 3. What is the critical value? a. ±1.96 b. +1.7613 c. +1.645 d. ±2.1448 4. What is the sample mean? a. 1190 b. 1275 c. 860 d. 472.57 5. What is the test statistic rounding to two decimal places? a. 3.12 b. 2.70 c. 2.41 d. 1.59 6. True or False: Fail to reject Ho as the test statistic does not fall within the rejection region.

Explanation / Answer

1) The one sample t-test is a statistical procedure used to determine whether asample of observations could have been generated by a process with a specific mean.

A option

2) B option

3) Since it is a two tailed test:

Critical value:

t at 95% for 13 degrees of freedom = +- 2.14

4) Sample Mean = 1190

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