Consider the following competing hypotheses: Use Table 2. The following results

Question

Consider the following competing hypotheses: Use Table 2.

The following results are obtained using matched samples from two normally distributed populations:

At the 10% significance level, find the critical value(s). (Negative value should be indicated by a minus sign. Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

Calculate the value of the test statistic under the assumption that the difference is normally distributed. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)

Consider the following competing hypotheses: Use Table 2.

H0: D 0; HA: D < 0 d-bar = 3.1, sD = 7.4, n = 13

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 0
HA : < 0

Hypothesis test results:

Hence,

a) Critical value = -1.36

b) Test statistic = -1.51

c) Reject H0 since the value of the test statistic is less than the critical value.

Option D is correct.

Mean Sample Mean Std. Err. DF T-Stat P-value -3.1 2.0523907 12 -1.5104336 0.0784

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