Question

Presume that a random sample of nine measurements from a normally distributed population gives a sample mean of 2.57 and a sample standard deviation of .3. Use critical values to test H?: ? = 3 versus H?: ? ? 3 using levels of significance ? = .10, ? = .05, ? = .01, and ? = .001. What will be the correct statement? We will reject the null hypothesis in favor of the alternative when ?=0.10, 0.05, and 0.01. However, we will fail to reject the null hypothesis when ?=0.001 We conclude that there is very strong evidence that the population mean is something other than 3 units. The sample size is not large enough to make a proper conclusion. We will reject the null hypothesis in favor of the alternative when ?= 0.05. However, we will fail to reject the null hypothesis when ?=0.1, 0.01 and 0.001 We conclude that there is very strong enough evidence that the population mean is something other than 3 units. We will reject the null hypothesis in favor of the alternative when ?=0.10, and 0.05. However, we will fail to reject the null hypothesis when ?=0.01 and 0.001 We conclude that there is very strong evidence that the population mean is something other than 3 units. We will reject the null hypothesis in favor of the alternative when ?= 0.05. However, we will fail to reject the null hypothesis when ?=0.1, 0.01 and 0.001 We conclude that there is not enough evidence that the population mean is something other than 3 units.

          Presume that a random sample of nine measurements from a normally distributed population gives a sample mean of 2.57 and a sample standard deviation of .3.

Use critical values to test H?: ? = 3 versus H?: ? ? 3 using levels of significance ? = .10, ? = .05, ? = .01, and ? = .001.

What will be the correct statement?

We will reject the null hypothesis in favor of the alternative when ?=0.10, 0.05, and 0.01. However, we will fail to reject the null hypothesis when ?=0.001 We conclude that there is very strong evidence that the population mean is something other than 3 units.

The sample size is not large enough to make a proper conclusion.

We will reject the null hypothesis in favor of the alternative when ?= 0.05. However, we will fail to reject the null hypothesis when ?=0.1, 0.01 and 0.001 We conclude that there is very strong enough evidence that the population mean is something other than 3 units.

We will reject the null hypothesis in favor of the alternative when ?=0.10, and 0.05. However, we will fail to reject the null hypothesis when ?=0.01 and 0.001 We conclude that there is very strong evidence that the population mean is something other than 3 units.

We will reject the null hypothesis in favor of the alternative when ?= 0.05. However, we will fail to reject the null hypothesis when ?=0.1, 0.01 and 0.001 We conclude that there is not enough evidence that the population mean is something other than 3 units.

Presume that a random sample of nine measurements from a normally distributed population gives a sample mean of 2.57 and a sample standard deviation of .3.

Use critical values to test H?: ? = 3 versus H?: ? ? 3 using levels of significance ? = .10, ? = .05, ? = .01, and ? = .001.

What will be the correct statement?

We will reject the null hypothesis in favor of the alternative when ?=0.10, 0.05, and 0.01. However, we will fail to reject the null hypothesis when ?=0.001 We conclude that there is very strong evidence that the population mean is something other than 3 units.

The sample size is not large enough to make a proper conclusion.

We will reject the null hypothesis in favor of the alternative when ?= 0.05. However, we will fail to reject the null hypothesis when ?=0.1, 0.01 and 0.001 We conclude that there is very strong enough evidence that the population mean is something other than 3 units.

We will reject the null hypothesis in favor of the alternative when ?=0.10, and 0.05. However, we will fail to reject the null hypothesis when ?=0.01 and 0.001 We conclude that there is very strong evidence that the population mean is something other than 3 units.

We will reject the null hypothesis in favor of the alternative when ?= 0.05. However, we will fail to reject the null hypothesis when ?=0.1, 0.01 and 0.001 We conclude that there is not enough evidence that the population mean is something other than 3 units.

Added by Aitor P.

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