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