A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 11 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 10.5.

1. Compute the t value of the sample test statistic. (Round your answer to three decimal places.)

A. Estimate the P-value for the test.

___ P-value > 0.250

___ 0.100 < P-value < 0.250

___ 0.050 < P-value < 0.100

___ 0.010 < P-value < 0.050

___ P-value < 0.010

(b) Do we reject or fail to reject H₀?

___ At the = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.

___ At the = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.

___ At the = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

___ At the = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(c) Interpret the results.

___There is sufficient evidence at the 0.05 level to reject the null hypothesis.

___ There is insufficient evidence at the 0.05 level to reject the null hypothesis.