Determining the team of researchers

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Reference no: EM13988594

1. Arandomsample of size n = 19 is drnwn from a normal distribution for which a2 = 12.0. In what range are we likely to find the sample variance, s2? Answer the question by finding two numbers a and b such that

P(a s s2

b) = 0.95

2. One of the occupational hazards of being an airplane pilot is I.he hearing loss that results from being exposed to high noise levels. To document the magnitude of the problem, a team of researchers measured the cockpit noise levels in 18 commercial aircraft. The results (in decibels) are as follows (94).

Plane 1	Noise Level 74	Plane 10	Noise Level 72
2	77	11	90
3	80	12	87
4	82	13	73
5	82	14	83
6	85	15	86
7	80	16	83
8	75	17	83
9	75	18	80

(ii) Assume that cockpit noise levels are normally distributed. Use Theorem 7.5.1 to construct a 95% confidence interval for the standard deviation of noise levels ftom plane to plane.

(b) Use these same data lo construct two one-sided 95% confidence intervals for a.

Reference no: EM13988594

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