Question

ch 20* you are testing $h_0: mu = 100$ against $h_a: mu < 100$ based on an srs of nine observations from a normal population. the data give $\bar{x}=98$ and $s = 3$. the value of the $t$ statistic is -2 -6 -2/3 question 3 1 pts ch 20 robustness means that the confidence level or p - value changes a lot when the conditions for use of the procedures are violated. true false

Explanation:

Step1: Recall the formula for the t - statistic

The formula for the t - statistic in a one - sample t - test is \(t=\frac{\bar{x}-\mu}{s/\sqrt{n}}\)

Step2: Identify the values of \(\bar{x}\), \(\mu\), \(s\), and \(n\)

Given \(\bar{x} = 98\), \(\mu=100\), \(s = 3\), and \(n = 9\)

Step3: Substitute the values into the formula

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for the second question:
Robustness means that the confidence level or P - value does not change much when the conditions for use of the procedures are violated.

Answer:

-2