## Lola is using a one-sample t-t- test for a population mean, µμ , to test the null hypothesis, H0:µ=40 mg/dLH0:μ=40 mg/dL , against the alter

Lola is using a one-sample t-t- test for a population mean, µμ , to test the null hypothesis, H0:µ=40 mg/dLH0:μ=40 mg/dL , against the alternative hypothesis, H1:µ>40 mg/dLH1:μ>40 mg/dL . Her results are based on a simple random sample of size n=15 . The value of the one-sample t-t- statistic is t=1.457 .

If Lola requires her results to be statistically significant at significance level of a 0.10, what can she conclude and why?

a. Because the exact p-value is unknown, she cannot make a conclusion.

b. She should not reject the null hypothesis because p > 0.10.

c. She should not reject the null hypothesis because p< 0.10.

d. She should reject the null hypothesis because p< 0.10,

e. She should not reject the null hypothesis because 0.10< p < 0.05.

## Answers ( )

Answer:d. She should reject the null hypothesis because p < 0.10.

Step-by-step explanation:We have a t statistic, so let’s solve for the P-value on our calculators. (tcdf on a TI-84 calculator is 2nd->VARS->6.)

tcdf(left bound, right bound, degrees of freedom)

>40 mg/dL. We use 999 to represent infinity in the calculator.tcdf(1.457,999,14) = .084

.084 < P-value of .10, so we

reject the null hypothesis.