Suppose we are testing the null hypothesis H0: μ = 12 against the alternative Ha: μ > 12 from a

Step 1: The p-value is the probability of observing a t-statistic as extreme as 1.91 or more ext

Question

Suppose we are testing the null hypothesis H0: \(\mu = 12\) against the alternative Ha: \(\mu > 12\) from a normal population with unknown standard deviation. A sample of size 16 is taken. The sample standard deviation was s = 4.1. We use the usual t statistic as our test statistic. Using the sample, a value of 1.91 is calculated for t. (Remember t has a t distribution.) a) What is the p value for this test? b) Would the null value have been rejected if this was a 5\% level test? \(\circ\) N \(\circ\) Y c) Would the null value have been rejected if this was a 1\% level test? \(\circ\) N \(\circ\) Y d) What was the value of \(\bar{x}\) calculated from our sample?

          Suppose we are testing the null hypothesis H0: \(\mu = 12\) against the alternative Ha: \(\mu > 12\) from a normal population with unknown standard deviation. A sample of size 16 is taken. The sample standard deviation was s = 4.1. We use the usual t statistic as our test statistic. Using the sample, a value of 1.91 is calculated for t. (Remember t has a t distribution.)
a) What is the p value for this test?

b) Would the null value have been rejected if this was a 5\% level test?
\(\circ\) N
\(\circ\) Y

c) Would the null value have been rejected if this was a 1\% level test?
\(\circ\) N
\(\circ\) Y

d) What was the value of \(\bar{x}\) calculated from our sample?

Suppose we are testing the null hypothesis H0: μ = 12 against the alternative Ha: μ > 12 from a normal population with unknown standard deviation. A sample of size 16 is taken. The sample standard deviation was s = 4.1. We use the usual t statistic as our test statistic. Using the sample, a value of 1.91 is calculated for t. (Remember t has a t distribution.)
a) What is the p value for this test?

b) Would the null value have been rejected if this was a 5% level test?
∘ N
∘ Y

c) Would the null value have been rejected if this was a 1% level test?
∘ N
∘ Y

d) What was the value of x̅ calculated from our sample?

Added by Glenn A.

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