Answer:
Answer: p-value = 0.078
The p-value is calculated using the following formula:
p-value = (1 - (1 - t Critical))^((n - 1) / (2 * (t Critical)^2))
where:
* t Critical is the critical value of the t-distribution with (n - 1) degrees of freedom, which is approximately equal to 1.704 for a right-tailed test with 11 observations.
* n is the sample size, which is 11 in this case.
Plugging in the values, we get:
p-value = (1 - (1 - 1.704))^((11 - 1) / (2 * (1.704)^2))
= (1 - 0.847)^(10 / 3.408)
= 0.078
Therefore, the p-value is 0.078, indicating that the observed difference between the sample mean and the population mean is unlikely to be statistically significant at the 0.05 level.
Explanation: