To test the hypothesis H0 : ì = 100 against H1 : ì > 100, a statistics practioner randomly sampled T
observations and found the mean x = 106 and the standard deviation sx = 35. The value of the test
statistic is equal to
(1) 1.1743
(2) −1.7143
(3) 0.1714
(4) 17.143
(5) 1.7143
To test the hypothesis H0: μ = 100 against H1: μ > 100, the statistician needs to calculate the test statistic. In this case, the test statistic is the Z-score.
The formula for calculating the Z-score is given by:
Z = (x - μ) / (σ / √n)
Where:
- x is the sample mean
- μ is the hypothesized population mean (in this case, 100)
- σ is the population standard deviation (unknown in this case)
- n is the sample size
From the given information, we have:
- x = 106
- μ = 100
- σ (population standard deviation) is not given
- n (sample size) is not given
Without knowing the sample size and population standard deviation, it is not possible to calculate the Z-score. Therefore, the value of the test statistic cannot be determined based on the given information.
In conclusion, the answer is (None of the options given).