A water-droplet generator is used to produce simulated rain or fog, and, for exa

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A water-droplet generator is used to produce simulated rain or fog, and, for example, to test emission drift rates from nuclear power plant cooling towers. A piezoelectric water-droplet generator is designed to produce 10 microliter (l) mist with a variance of 0.45. A random sample of 23 water drops was obtained, the amount of water in each (in l) was measured, and the summary statistics were x¯¯¯=9.992 and s=0.399. Is there any evidence to suggest that the variance is larger than specified? Assume normality and use =0.01.
      There is evidence to suggest that the variance is larger than 0.45.       There is no evidence to suggest that the variance is larger than 0.45. A water-droplet generator is used to produce simulated rain or fog, and, for example, to test emission drift rates from nuclear power plant cooling towers. A piezoelectric water-droplet generator is designed to produce 10 microliter (l) mist with a variance of 0.45. A random sample of 23 water drops was obtained, the amount of water in each (in l) was measured, and the summary statistics were x¯¯¯=9.992 and s=0.399. Is there any evidence to suggest that the variance is larger than specified? Assume normality and use =0.01.
      There is evidence to suggest that the variance is larger than 0.45.       There is no evidence to suggest that the variance is larger than 0.45. A water-droplet generator is used to produce simulated rain or fog, and, for example, to test emission drift rates from nuclear power plant cooling towers. A piezoelectric water-droplet generator is designed to produce 10 microliter (l) mist with a variance of 0.45. A random sample of 23 water drops was obtained, the amount of water in each (in l) was measured, and the summary statistics were x¯¯¯=9.992 and s=0.399. Is there any evidence to suggest that the variance is larger than specified? Assume normality and use =0.01.
      There is evidence to suggest that the variance is larger than 0.45.       There is no evidence to suggest that the variance is larger than 0.45. A water-droplet generator is used to produce simulated rain or fog, and, for example, to test emission drift rates from nuclear power plant cooling towers. A piezoelectric water-droplet generator is designed to produce 10 microliter (l) mist with a variance of 0.45. A random sample of 23 water drops was obtained, the amount of water in each (in l) was measured, and the summary statistics were x¯¯¯=9.992 and s=0.399. Is there any evidence to suggest that the variance is larger than specified? Assume normality and use =0.01.
      There is evidence to suggest that the variance is larger than 0.45.       There is no evidence to suggest that the variance is larger than 0.45.       There is evidence to suggest that the variance is larger than 0.45.       There is no evidence to suggest that the variance is larger than 0.45.       There is evidence to suggest that the variance is larger than 0.45.       There is no evidence to suggest that the variance is larger than 0.45.       There is evidence to suggest that the variance is larger than 0.45.       There is no evidence to suggest that the variance is larger than 0.45.       There is evidence to suggest that the variance is larger than 0.45.       There is no evidence to suggest that the variance is larger than 0.45.       There is evidence to suggest that the variance is larger than 0.45.       There is no evidence to suggest that the variance is larger than 0.45.       There is evidence to suggest that the variance is larger than 0.45.       There is no evidence to suggest that the variance is larger than 0.45. A water-droplet generator is used to produce simulated rain or fog, and, for example, to test emission drift rates from nuclear power plant cooling towers. A piezoelectric water-droplet generator is designed to produce 10 microliter (l) mist with a variance of 0.45. A random sample of 23 water drops was obtained, the amount of water in each (in l) was measured, and the summary statistics were x¯¯¯=9.992 and s=0.399. Is there any evidence to suggest that the variance is larger than specified? Assume normality and use =0.01.
      There is evidence to suggest that the variance is larger than 0.45.       There is no evidence to suggest that the variance is larger than 0.45.

Explanation / Answer

The statistical software output for this problem is:

One sample variance hypothesis test:
2 : Variance of population
H0 : 2 = 0.45
HA : 2 > 0.45

Hypothesis test results:

Since p - value is greater than 0.01,  There is no evidence to suggest that the variance is larger than 0.45.

Option B is correct.

Variance Sample Var. DF Chi-square Stat P-value 2 0.159201 22 7.78316 0.9977

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