In testing the hypotheses: H0: $\mu$ = 35
HA: $\mu$

Question

In testing the hypotheses: H0: $\mu$ = 35
HA: $\mu$< 35,
The following information is known: n = 49, $\bar { X }$ = 37 and $\sigma$ = 6. The standardised test statistic equals:
A)0.33.
B)-0.33.
C)-2.33.
D)2.33.

Quizplus · Accepted Answer

The standardized test statistic (Z) is calculated using the formula $Z = \frac{\bar{X} - \mu_0}{\sigma / \sqrt{n}}$, where $\bar{X}$ is the sample mean, $\mu_0$ is the population mean under the null hypothesis, $\sigma$ is the population standard deviation, and $n$ is the sample size. Plugging in the given values: $Z = \frac{37 - 35}{6 / \sqrt{49}} = \frac{2}{6/7} = 2.33.$

In Testing the Hypotheses: H0 μ\muμ = 35 HA μ\muμ < 35, the Following Information Is Known: N = 49

In Testing the Hypotheses: H0 $\mu$ = 35
HA $\mu$ < 35,
the Following Information Is Known: N = 49