Consider Ho: = 31 versus H₁: #31. A random sample of 36 observations taken from this population produced a sample mean of 27.70. The population is normally distributed with σ = 9. Note: Use Table IV in Appendix C to compute the probabilities. (a) Calculate the p-value. Round the answer to four decimal places. p-value= 0.0278 (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? the null hypothesis. Reject (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? Do not reject ✓the null hypothesis.

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Consider Ho: μ = 31 versus H₁: μ#31. A random sample of 36 observations taken from this population produced a sample mean of
27.70. The population is normally distributed with σ = 9.
Note: Use Table IV in Appendix C to compute the probabilities.
(a) Calculate the p-value. Round the answer to four decimal places.
p-value = 0.0278
(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?
the null hypothesis.
Reject
(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?
the null hypothesis.
Do not reject
Transcribed Image Text:Consider Ho: μ = 31 versus H₁: μ#31. A random sample of 36 observations taken from this population produced a sample mean of 27.70. The population is normally distributed with σ = 9. Note: Use Table IV in Appendix C to compute the probabilities. (a) Calculate the p-value. Round the answer to four decimal places. p-value = 0.0278 (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? the null hypothesis. Reject (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? the null hypothesis. Do not reject
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