7. Basic Computation: P-value Corresponding to 1 Value For a Student's dis- tribution with d. f. = 10 and : = 2.930,
(a) find an interval containing the corresponding P-value for a two-tailed test.
(b) find an interval containing the corresponding P-value for a right-tailed
test.

a) Interval containing the corresponding P-value for a two-tailed test is;

0.01  ≤ p-value ≤  0.02

b) Interval containing the corresponding P-value for a right-tailed

test is;

0.005  < p-value <  0.010

Step-by-step explanation:

Given the data in the question;

t = 2.930

df = 10

Test statistics;

Now form the t-distribution table, at df = 10, 2.930 falls between { t=2.764 and t=3.169]

so;

for a two tailed test, corresponding p-value is between: 0.02 and 0.01

For one(right) tailed test, corresponding p-value is between: 0.01 and 0.005

Therefore;

a) Interval containing the corresponding P-value for a two-tailed test is;

0.01  ≤ p-value ≤  0.02

b) Interval containing the corresponding P-value for a right-tailed

test is;

0.005  < p-value <  0.010

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