TEST OF HYPOTHESIS INVOLVING THE POPULATION MEAN 𝝁 WHEN THE VARIANCE IS UNKNOWN

In summary, the company president proposed that if the attrition rate is at least 10 per month, then the salary scale, compensation package, and professional development programs for employees will be initiated. To gather data, attrition rates for 20 months were selected at random and found to have an average attrition rate of 11, indicating that the company is currently facing attrition problems. The data is assumed to follow normality.

What is the null and alternative hypothesis???

  • H_0 = u = 9 ; H_\alpha = u > 9

  • H_O = u \geq 10 ; H_\alpha = u < 10

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  • #1
bunnypatotie
9
0
1. You are working in a company facing attrition problems of the customer service representatives for the past five years. The company president proposed that if the attrition rate is at least 10 per month, then the salary scale, compensation package, and professional development programs for employees will be initiated. For this purpose, attrition rates for 20 months selected at random were considered and listed below. Assume that the data follow normality.
8 9 12 10 6 15 14 11 8 10 10 12 15 11 12 7 14 14 7 11
​
 
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  • #2
bunnypatotie said:
1. You are working in a company facing attrition problems of the customer service representatives for the past five years. The company president proposed that if the attrition rate is at least 10 per month, then the salary scale, compensation package, and professional development programs for employees will be initiated. For this purpose, attrition rates for 20 months selected at random were considered and listed below. Assume that the data follow normality.
8 9 12 10 6 15 14 11 8 10 10 12 15 11 12 7 14 14 7 11
​
Why is this a poll? There should be an unambiguous answer. That's why you are asking, isn't it?

Please show us what you've been able to do with this so far.

-Dan
 

What is a test of hypothesis involving the population mean when the variance is unknown?

A test of hypothesis involving the population mean when the variance is unknown is a statistical method used to determine whether a sample mean is significantly different from a hypothesized population mean, when the population variance is not known. This test is commonly used in research studies to make conclusions about a population based on a sample.

Why is the variance unknown in this type of test?

The variance is unknown in this type of test because it is often difficult or impractical to obtain the entire population data. Therefore, researchers must rely on a sample of the population to make inferences about the entire population. Since the population variance is unknown, it must be estimated from the sample data.

What is the null hypothesis in a test of hypothesis involving the population mean when the variance is unknown?

The null hypothesis in this type of test is that the sample mean is equal to the hypothesized population mean. In other words, there is no significant difference between the sample mean and the hypothesized population mean.

What is the alternative hypothesis in this type of test?

The alternative hypothesis in this type of test is that the sample mean is not equal to the hypothesized population mean. This means that there is a significant difference between the sample mean and the hypothesized population mean.

What is the significance level in a test of hypothesis involving the population mean when the variance is unknown?

The significance level, also known as alpha, is the probability of rejecting the null hypothesis when it is actually true. It is typically set at 0.05 or 0.01, and a p-value lower than the significance level indicates that the null hypothesis can be rejected in favor of the alternative hypothesis.

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