Consider the following hypothesis test: Ho: u 45 Ha: µ< 45 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.01. a. With T = 44 and s = 5.2, the p-value is Select your answer - Can it be concluded that the population mean is less than 45 ? - Select your answer - b. With = 43 and s = 4.6, the p-value is - Select your answer- Can it be concluded that the population mean is less than 45? - Select your answer - c. With T = 46 and s = 5, the p-value is - Select your answer- Can it be concluded that the population mean is less than 45? - Select your answer -

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**Hypothesis Testing Example**

Consider the following hypothesis test:

- Null Hypothesis (\(H_0\)): \(\mu \geq 45\)
- Alternative Hypothesis (\(H_a\)): \(\mu < 45\)

A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use \(\alpha = 0.01\).

**a.** With \(\bar{x} = 44\) and \(s = 5.2\), the p-value is [Select your answer]

Can it be concluded that the population mean is less than 45?  
[Select your answer]

**b.** With \(\bar{x} = 43\) and \(s = 4.6\), the p-value is [Select your answer]

Can it be concluded that the population mean is less than 45?  
[Select your answer]

**c.** With \(\bar{x} = 46\) and \(s = 5\), the p-value is [Select your answer]

Can it be concluded that the population mean is less than 45?  
[Select your answer]
Transcribed Image Text:**Hypothesis Testing Example** Consider the following hypothesis test: - Null Hypothesis (\(H_0\)): \(\mu \geq 45\) - Alternative Hypothesis (\(H_a\)): \(\mu < 45\) A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use \(\alpha = 0.01\). **a.** With \(\bar{x} = 44\) and \(s = 5.2\), the p-value is [Select your answer] Can it be concluded that the population mean is less than 45? [Select your answer] **b.** With \(\bar{x} = 43\) and \(s = 4.6\), the p-value is [Select your answer] Can it be concluded that the population mean is less than 45? [Select your answer] **c.** With \(\bar{x} = 46\) and \(s = 5\), the p-value is [Select your answer] Can it be concluded that the population mean is less than 45? [Select your answer]
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