Question

A linguistics expert is interested in learning about the amount of time people in his industry spend studying a new language. A random sample of 15 people in his industry were surveyed for a hypothesis test about the mean time people studied a new language last year. He conducts a one-mean hypothesis test, at the 10% significance level, to test the recent publication that the amount of time people in his industry are studying a new language was 30 minutes per week.

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 ±.

Answer 1

given data are sample n = 15

claim is:- the amount of time people in his industry are studying a new language was 30 minutes per week

then population mean is u= 30

null hypothesis H0: - u=30

alternative hypothesis Ha: - u 30

so it is a two tailed test .

given =10% =0.10

then at =0.05  & df= n-1 = 15-1=14 from t table

t critical values are t 1.761