G because 30 + 5 =35 so 4x35
Answer: 0.0064683053
I just used a calculator..
We determine first the rate of flow of water out of the bottle by dividing the difference in the volume with the difference in time.
r = (28 - 20) / (6 - 2)
r = 2 ounce/s
We calculate the first term by adding 2 ounce/s to the 2nd term, giving us the answer which is equal to 30 ounce/second.
We don't know what the exact p-value is, but we are told that it's as large as 0.005 which is smaller than alpha = 0.05
Since the p-value is smaller than alpha, this means we <u>reject the null hypothesis</u>.
The way you can remember this is "if the p-value is low, then the null must go". By "low", I mean "smaller than alpha".
Recall that the p-value is the probability of observing that specific test statistic, or larger. So the chances of chi-squared being 18.68 or larger is a probability between 0.0025 and 0.005; there's a very small chance of this happening. The p-value is based entirely on the assumption that the null is correct. But if the null is correct, then the chances of landing on this are very small. We have a contradiction that basically leads to us concluding the null must not be the case. It's not 100% guaranteed of course, but it's fairly strong evidence.
In short, the p-value being smaller than alpha = 0.05 means we reject the null.
In order to accept the null, the p-value must be 0.05 or larger.
Answer: D. (15)
The sample Mean of the two credit cards given are $140 and $125 respectively.
The difference between the mean purchase of the two cards gives:
$140 - $125 =$15
