Question

Vae, a nurse practioner, is interested in determining if her clients with type II diabetes have lower fasting glucose after they started a new nutritional plan. She measures the fasting glucose of 14 random clients, and conducts a hypothesis test about mean of fasting glucose using a significance level of 2.5 %. The mean fasting glucose in these clients was 165 before the nutritional plan.

dfdf	t0.10t0.10	t0.05t0.05	t0.025t0.025	t0.01t0.01	t0.005t0.005
......	...	...	...	...	...
1313	1.350	1.771	2.160	2.650	3.012
1414	1.345	1.761	2.145	2.624	2.997
1515	1.341	1.753	2.131	2.602	2.947
1616	1.337	1.746	2.120	2.583	2.921

Determine the critical value(s) using the partial t−table above. If entering two critical values, use ±.

Sorry, that's incorrect. Try again?

critical value(s) =

Answer 1

critical value = -2.160

[ INTERPRETATION:-

hypothesis:-

where is the mean fasting glucose in these clients after they started a new nutritional plan

so, this is a left tailed test.

degrees of freedom :-

= (n-1) = (14-1) = 13 [sample size (n) = 14]

from the given t table, for df = 13, alpha = 0.025, one tailed test (right)

critical value of t = 2.160

but ,as it is a left tailed test and we consider that a t curve is symmetric about 0.

so, the critical value for df = 13 , alpha = 0.025 , left tailed test be:-

]

*** if you face any trouble to understand the answer to the problem please mention it in the comment box.if you are satisfied, please give me a LIKE if possible.