(i) Determine whether the hypothesis test is one tailed or two tailed. (ii) Find the P-value. Round the answer to four decimal places. (iii) Make the decision and summarize the results. **Museum Attendance**A metropolitan children's museum open year-round wants to analyze if the variance in daily attendance differs between the summer and winter months. Random samples of 30 days each were selected and showed the following:- **Winter months:** The sample mean daily attendance was 300 with a standard deviation of 62.- **Summer months:** The sample mean daily attendance was 280 with a standard deviation of 36. At a significance level of α = 0.10, the question is whether we can conclude a difference in variances. Use σ₁ for the standard deviation in attendance during the winter months.

From the information, The sample size for the winter months is 30 days, mean is 300 and the standard deviation is 62. The sample size for the summer months is 30 days, mean is 280 and the standard deviation is 36.(i) Identify that the hypothesis test is one tailed or two tailed. From the information, the claim of the test is that there is a significant difference in the variances between winter and summer months. This is representing in the alternative hypothesis. The difference is denoted as ≠. Hence, the test is two tailed test. (ii) Find the P-value by using MINITAB. MINITAB procedure: Step 1: Choose Stat > Basic Statistics > 2 Variance. Step 2: Under Data, choose Sample standard deviation. Step 3: In First, enter 30 under Sample size. Step 4: In First, enter 62 under Standard deviation Step 5: In Second, enter 30 under Sample size. Step 6: In Second, enter 36 under Standard deviation Step 7: Check Options, enter Confidence level as 90.0. Step 8: In Hypothesized ratio Variance 1 / Variance 2 Step 9: Choose not equal in alternative. Step 10: Click OK in all dialog boxes. MINITAB output: From the output, the P-value is 0.0050.(iii) The hypotheses are given below: Decision rule: If the P-value is less than the level of significance, then reject the null hypothesis. Conclusion: Here, the P-value is less than level of significance. That is, 0.005<0.10. Hence, the null hypothesis is rejected. Thus, it can be concluded that there is a significant difference in the variances between winter and summer months.

Answered: (i) Determine whether the hypothesis…

Math

Statistics

(i) Determine whether the hypothesis test is one tailed or two tailed. (ii) Find the P-value. Round the answer to four decimal places. (iii) Make the decision and summarize the results.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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