A researcher is investigating whether there is a difference in the mean amount of sleep among people with different employment statuses. The data is collected from a survey and presented in the table below:| Unemployed | Part Time Worker | Full Time Worker ||------------|------------------|-----------------|| 9 | 9 | 8 || 8 | 6 | 6 || 6 | 6 | 7 || 10 | 7 | 7 || 7 | 8 | 8 || 8 | 8 | 7 || 9 | | 8 |Assumptions:- All distributions are normal.- The three population standard deviations are equal.- Data is collected independently and randomly.- A significance level of α = 0.1 is used.Hypotheses:- \( H_0 \): \(\mu_1 = \mu_2 = \mu_3\)- \( H_1 \): At least two of the means differ from each other.Steps to follow:1. Choose the appropriate test. (A selection option is provided for the user).2. Calculate the test statistic for the data and provide the answer to 3 decimal places.3. Determine the p-value for the sample and provide the answer to 4 decimal places.4. Compare the p-value with α to decide whether to reject or not reject \( H_0 \).5. Choose the appropriate conclusion.6. Final conclusion options provided: - There is insufficient evidence to support the claim that employment status is a factor in the amount of sleep people get. - There is sufficient evidence to support the claim that employment status is a factor in the amount of sleep people get.

Answer Given,Total sample size [N] = 9+7+8 = 24

A researcher wants to know if there is a difference between the mean amount of sleep that people get for various types of employment status. The table below shows data that was collected from a survey. Part Time Worker Full Time Worker Unemployed 9 8 7 10 10 7 8 9 9 9 6 6 9 8 6 8 8 6 7 7 Ho 12 143 H₁: At least two of the means differ from each other. 8 7 8 8 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of = 0.1.