Answer:
The critical value is ±2.921.
Step-by-step explanation:
The (1 - α) % confidence interval for population mean for unknown population standard deviation (σ) is:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\ \frac{s}{\sqrt{n}}[/tex]
The information provided is:
n = 17
Confidence level = 99%
Compute the value of α as follows:
(1 - α) % = 99%
1 - α = 0.99
α = 0.01
The degrees of freedom of the t-value is:
degrees of freedom = n - 1
= 17 - 1
= 16
Compute the critical value of t as follows:
[tex]\text{Critical value}=t_{\alpha/2, (n-1)}[/tex]
[tex]=t_{0.01/2, 16}\\=t_{0.005, 16}\\=\pm 2.921[/tex]
*Use a t-table for the critical value.
Thus, the critical value is ±2.921.
