DQuestion 8 4 pts A researcher wishes to test whether the ambient sulfur levels

Question

DQuestion 8 4 pts A researcher wishes to test whether the ambient sulfur levels in the working environment atmosphere of a chemical plant exceed 12.50. The results of 45 randomly timed measurements of the sulfur level produced a sample mean of 13.01 and a sample standard deviation of s-2.91 a) Write down the null and alternative hypotheses. b) The test statistic for this test is about: [Select] c) The p-value for this test is about: [Select ] d) At a 5% level of significance, what decision should the researcher make? [ Select ] e) Interpret this decision. [Select ]

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
? : Mean of population
H0 : ? = 12.5
HA : ? > 12.5

Hypothesis test results:

Hence,

a) Hypotheses:

H0 : ? = 12.5
HA : ? > 12.5

b) Test statistic = 1.176

c) P - value = 0.123

d) Do not reject Ho

e) Not enough evidence to conclude that mean exceeds 12.50

Mean Sample Mean Std. Err. DF T-Stat P-value ? 13.01 0.43379719 44 1.1756646 0.123

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