Arandom sample of 29 observations taken from a population that is normally distributed produced a sample mean of 58.5 and a standard deviation of 7.5. Find the range for the p-value and the critical and observed values of t for the following test of hypothesis, using a = 0.01. H,: µ = 55 versus H,: µ + 55. Round your answers for the values of t to three decimal places. 0.05 < p-value < 0.1 teritical left= teritical right tobserved

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A random sample of 29 observations taken from a population that is normally distributed produced a sample mean of 58.5 and a standard deviation of 7.5.

Find the range for the p-value and the critical and observed values of t for the following test of hypothesis, using \( \alpha = 0.01 \).

\[ H_0: \mu = 55 \text{ versus } H_1: \mu \neq 55. \]

Round your answers for the values of t to three decimal places.

- p-value range: \( 0.05 < \text{p-value} < 0.1 \)

- \( t_{\text{critical left}} = \) [input box]
  
- \( t_{\text{critical right}} = \) [input box]

- \( t_{\text{observed}} = \) [input box]
Transcribed Image Text:A random sample of 29 observations taken from a population that is normally distributed produced a sample mean of 58.5 and a standard deviation of 7.5. Find the range for the p-value and the critical and observed values of t for the following test of hypothesis, using \( \alpha = 0.01 \). \[ H_0: \mu = 55 \text{ versus } H_1: \mu \neq 55. \] Round your answers for the values of t to three decimal places. - p-value range: \( 0.05 < \text{p-value} < 0.1 \) - \( t_{\text{critical left}} = \) [input box] - \( t_{\text{critical right}} = \) [input box] - \( t_{\text{observed}} = \) [input box]
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