A random sample of 22 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 \(\alpha = 0.01\).\(H_0: \mu = 55\) versus \(H_1: \mu \neq 55\).Round your answers for the values of *t* to three decimal places.- \(t_{\text{critical left}} =\) [Input Box] [Information Icon]- \(t_{\text{critical right}} =\) [Input Box] [Information Icon]- \(t_{\text{observed}} =\) [Input Box] [Information Icon]Note: The image includes input boxes for entering values and information icons likely linked to additional explanatory content. A random sample of 17 observations taken from a population that is normally distributed produced a sample mean of 42.4 and a standard deviation of 8. Find the range for the p-value and the critical and observed values of t for each of the following tests of hypotheses using, α = 0.01.Use the t distribution table to find a range for the p-value.Round your answers for the values of t to three decimal places.a. \(H_0: \mu = 46\) versus \(H_1: \mu < 46\).- \(0.025 < p\text{-value} <\) - \(t_{\text{critical}} =\) [value needed, not provided]- \(t_{\text{observed}} = -1.856\) (Note: A handwritten annotation indicates that \(t_{\text{critical}}\) is needed.)

Name: A random sample of 22 observations taken from a population that is no
Uploaded: 2024-03-20T06:46:14.000Z
Channel: Bartleby
Description: A random sample of 22 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 tes