Answer:
Step-by-step explanation:
From the problem statement, we can create the following equation:
Where is the total worth of all shares,
is the price of an Apple share, and
is the price of a Ford share.
Plugging in the numbers from the problem statement, we get the following:
Multiplying these numbers out and adding them together will give you your answer.
Answer:
<h3><u>Cylinder</u></h3>Given:
Given:
Volume of cylinder - volume of cube
= 684π - 512
= 1532.75204 cm³
1 litre = 1000 cm³
⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³
As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder. Therefore, the water will <u>not</u> come over the top of the container.
Answer:
e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.
Step-by-step explanation:
Hello!
The study's objective is to test if hypnotism reduces pain.
A sample of n=8 subjects was taken and the pain level was recorded in each subject before and after being hypnotized.
The variable of interest was determined by calculating the difference of pain level after - before hypnosis. This is a paired sample test and the variable can be determined as:
Xd: Difference between pain level felt after hypnosis and pain level felt before hypnosis of a subject.
The sample average and standard deviation obtained were:
Xd= -3
Sd= 3
And the variable is presumed to be approximately normal.
An approximately normal distribution is enough to conduct a paired sample t-test.
If the claim is that hypnosis reduces pain, then the average pain level after hypnosis should be less than the average pain level before hypnosis, then the average difference is expected to be negative, symbolically: μd < 0
The test will be one-tailed and so will be the p-value.
Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).
So first step is to calculate the value of the statistic under the null hypothesis and then you can calculate the p-value.
H₀: μd ≥ 0
H₁: μd < 0
The DF of the t-test are n-1= 7
Then you can calculate the p-value as:
P(t₇≤-2.83)= 0.0127
The level of the test is α: 0.01
The decision rule is:
If p-value ≤ α, reject the null hypothesis.
If p-value > α, do not reject the null hypothesis.
The p-value > α the decision is to not reject the null hypothesis.
Correct option: e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.
I hope this helps!