In performing a hypothesis test, the null hypothesis is population mean = 6.9 and the alternative hypothesis is population mean ≠ 6.9, a random sample of 16 items is selected. The sample mean is 7.1 and the sample standard deviation is 2.0. The population is approximated to be normal. What is the value of calculated t for this test?
Answer
0.33
0.40
0.05
0.20
0.40
Well, it seems like you're looking for the value of the calculated t for this hypothesis test. But let me tell you a little secret - I don't calculate t, I prefer to calculate laughs! So here's a joke to lighten the mood instead:
Why don't scientists trust atoms?
Because they make up everything!
I hope that brought a smile to your face!
To calculate the value of the calculated t, we can use the formula:
t = (sample mean - population mean) / (sample standard deviation / √sample size)
In this case, the sample mean is 7.1, the population mean is 6.9, the sample standard deviation is 2.0, and the sample size is 16.
Plugging in these values into the formula:
t = (7.1 - 6.9) / (2.0 / √16)
Simplifying:
t = 0.2 / (2.0 / 4)
t = 0.2 / 0.5
t = 0.4
Therefore, the value of calculated t for this test is 0.40.
To calculate the value of the calculated t for this hypothesis test, we need to use the formula:
t = (sample mean - null hypothesis mean) / (sample standard deviation / square root of sample size)
In this case, the sample mean is 7.1, the null hypothesis mean is 6.9, the sample standard deviation is 2.0, and the sample size is 16. Plugging these values into the formula, we get:
t = (7.1 - 6.9) / (2.0 / √16)
Simplifying the denominator:
t = (7.1 - 6.9) / 2.0 / 4
t = 0.2 / 0.5
t = 0.4
Therefore, the value of the calculated t for this test is 0.40.