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To infer the value of the mean of a variable for a population of individuals, the following hypotheses are being tested; H0 : = 100

To infer the value of the mean of a variable for a population of individuals, the following hypotheses are being tested; H0 : = 100 versus Ha : > 100. The variable is observed for a sample of n = 64 individuals from the population, giving summary statistics x = 105.5 and s = 20.

Which one of the following statements is TRUE?

(a) The test statistic has value -2.2 , the p-value = 0.0278. This p-value suggests there is evidence to reject H0 : = 100, evidence to suggest Ha : > 100 at = 0.05.

(b) The test statistic has value +2.2 , the p-value = 0.0139. This p-value suggests there is evidence to reject H0 : = 100, is evidence to suggest Ha : > 100 at = 0.05.

(c) The test statistic has value -2.2 , the p-value = 0.0139. This p-value suggests there is evidence to reject H0 : = 100, evidence to suggest Ha : > 100 at = 0.05.

(d) The test statistic has value +2.2 , the p-value = 0.0139. This p-value suggests there is evidence to reject H0 : = 100, is evidence to suggest Ha : > 100, at = 0.01.

(e) The test statistic has value +2.2 , the p-value = 0.0278. This p-value suggests there is evidence to reject H0 : = 100, is evidence to suggest Ha : > 100, at = 0.05.

(f) The test statistic has value +2.2 , the p-value = 0.0139. This p-value suggests there is no evidence to reject H0 : = 100, is no evidence to suggest Ha : > 100 at = 0.01.

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