Question

# Indoor natatoriums or swimming pools are noted for their poor acustic properties. The goal is to...

Indoor natatoriums or swimming pools are noted for their poor acustic properties. The goal is to design a pool such that the average time that it takes low-frequencies sound to die is at most 1.3 seconds with standard deviation of at most .6 second. Computer simulations of a preliminary design are conducted to see whether these standards are exceeded. These data are obtained on the time required for a low- frequency sound to die:

Data:

1.8, 3.7, 5.0, 5.3, 6.1, 0.5, 2.8, 5.6, 5.9, 2.7, 3.8, 5.9, 4.6, 0.3, 2.5, 1.3, 4.4, 4.6, 5.3, 4.3, 3.9, 2.1, 2.3, 7.1, 6.6, 7.9, 3.6, 2.7, 3.3, 3.3

a. Show with a plot whether the normality assumption for the data is reasonable.

b. Design a test to verify whether standards for the average time μ are exceeded. Set the significance level to α = 0.05.

c. Are you going to reject the null hypothesis? Explain.

d. Find a 95% confidence interval for σ2.

Note:Due to little confussion about a bit so i couldn't solved if you want to answer for a bit please post it separately

Thank you.

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