In testing the hypotheses: $H _ { 0 } : \mu =$ 35 H₁ : $\mu$

Question

In testing the hypotheses:

H _ { 0 } : \mu =

35 H₁ :

\mu

< 35,
The following information is known: n = 49,

\bar { x }

= 37 and

\sigma

= 16. The standardised test statistic equals:

Quizplus · Accepted Answer

The standardized test statistic is calculated using the formula: $ z = \frac{\bar{x} - \mu}{\sigma/\sqrt{n}} $. Substituting the given values: $ z = \frac{37 - 35}{16/\sqrt{49}} = \frac{2}{16/7} = \frac{2 \times 7}{16} = \frac{14}{16} = 0.875 $. However, the correct calculation should yield 0.875, which is not listed. The closest option is D) 2.33, which seems to be a mistake in the options provided.

In Testing the Hypotheses H0:μ=H _ { 0 } : \mu =H0​:μ=

In Testing the Hypotheses $H _ { 0 } : \mu =$