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Question 10 (1 point) Consider H0: $\mu$ = 30 versus H1: $\mu$ \(\neq\) 30. A random sample of 36 observations taken from this population produced a sample mean of 26.27. The population is normally distributed with $\sigma$ = 10. (a) Calculate the p-value. Round the answer to four decimal places. (b) Considering the p-value of part (a), would you reject the null hypothesis if the test were made at the significance level of 0.05? (c) Considering the p-value of part (a), would you reject the null hypothesis if the test were made at the significance level of 0.01?

          Question 10 (1 point)
Consider H0: $\mu$ = 30 versus H1: $\mu$ \(\neq\) 30. A random sample of 36 observations taken
from this population produced a sample mean of 26.27. The population is normally
distributed with $\sigma$ = 10.
(a) Calculate the p-value. Round the answer to four decimal places.
(b) Considering the p-value of part (a), would you reject the null hypothesis if the test
were made at the significance level of 0.05?
(c) Considering the p-value of part (a), would you reject the null hypothesis if the test
were made at the significance level of 0.01?

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Question 10 (1 point)
Consider H0: μ = 30 versus H1: μ ≠ 30. A random sample of 36 observations taken
from this population produced a sample mean of 26.27. The population is normally
distributed with σ = 10.
(a) Calculate the p-value. Round the answer to four decimal places.
(b) Considering the p-value of part (a), would you reject the null hypothesis if the test
were made at the significance level of 0.05?
(c) Considering the p-value of part (a), would you reject the null hypothesis if the test
were made at the significance level of 0.01?

Added by Stacy B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Prabhakar Kumar

Step 1

27 or more extreme values if the null hypothesis is true. First, we calculate the standard error of the mean (SEM) using the formula: SEM = Ïƒ / sqrt(n), where Ïƒ is the population standard deviation and n is the sample size. In this case, Ïƒ = 10 and n = 36, so Show more…

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Question 10 (1 point) Consider H0: u = 30 versus H1: u â‰ 30. A random sample of 36 observations taken from this population produced a sample mean of 26.27. The population is normally distributed with Ïƒ = 10. (a) Calculate the p-value. Round the answer to four decimal places. (b) Considering the p-value of part (a), would you reject the null hypothesis if the test were made at the significance level of 0.05? (c) Considering the p-value of part (a), would you reject the null hypothesis if the test were made at the significance level of 0.01?

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