Question

BIO 260 SP20 Assignment #6 One Sample t-tests. INSTRUCTIONS Provide responses on the Assignment 6 Answer Sheet

1. A new drug that is meant to increase hematocrit in humans and that may be a cheaper alternative to EPOGEN is being tested. A clinical trial was performed in which fifteen volunteers took the drug and had their hematocrit measured. The known mean hematocrit in humans is 45%.

Data:

37.8 46.8 42.8 38.3 42.7 47.3 49 39.9 43.6 45.7 52.9 43.6 47.4 47.3 43.4

A. What is the “population” we are estimating the parameters for with our sample? B. State the null and alternative hypothesis.
C. Report the sample statistics on the answer form
D. Calculate the t- score for the sample vs the "reference"

E. Determine the t- critical value for an alpha of 0.05 from a t-table and record.
G. Write out your statistical conclusion, i.e. do you reject, or fail to reject the null, and at what p-value?

H. Write out your biological conclusion, i.e. is the mean hematocrit of the sample significantly larger, smaller, or no different?

BIO 260 SP20 Assignment #6 One Sample t-tests. INSTRUCTIONS Provide responses on the Assignment 6 Answer Sheet

2. Consider a population of lizards living on an island. We believe that they may be members of a species called Tribolonotus gracilis. The mean length of Tribolonotus gracilis is known to be 8cm. The following length values (cm) were obtained for a sample of individuals from the island:

11.3 11.5 9.2 11 6.9 8.9 6.9 11.3

Do these lizards have sizes that are consistent with their being Tribolonotus gracilis or not?

(Base your decision on the observed vs. expected mean length.)

A. Use the correct syntax for null and alternative hypothesis. B. record tcalc, tcrit and ?.
C. State your Statistical Conclusion
D. State your Biological Conclusion

E. include p-value.

G. use the phrase "significantly smaller", "significantly larger" or "not significantly different"

Answer 1

Note : Allowed to solve only one question per post. Solved the first question.

A. What is the “population” we are estimating the parameters for with our sample?
Increase in hematocrit due to the new drug.

B. State the null and alternative hypothesis.

Ho: Mean hematocrit due to the new durg is equal to 45%
H1: Mean hematocrit due to the new durg is greater than 45%

C. Report the sample statistics on the answer form

Sample mean = 44.57

D. Calculate the t- score for the sample vs the "reference"

tscore = -0.406

E. Determine the t- critical value for an alpha of 0.05 from a t-table and record.

tcritical = 1.761

G. Write out your statistical conclusion, i.e. do you reject, or fail to reject the null, and at what p-value?

We fail to reject the null since the pvalue is greater than 0.05

H. Write out your biological conclusion, i.e. is the mean hematocrit of the sample significantly larger, smaller, or no different?

THe mean mean hematocrit of the sample is not significantly larger.

Step 1 : find the mean and std deviation of the data

Hypothesis testing