Three students want to estimate the mean backpack weight of their schoolmates. To do this, they each randomly chose 8 schoolmates and weighed their backpacks. Then as per the given sample data,
(a) The sample means of the backpacks are: 6.375,6.375,6.625
(b) Range of sample means: 0.25
(c)The true statement is: The closer the range of the sample means is to 0, the less confident they can be in their estimate.
For the first sample, mean= 6.375
For the second sample, mean= 6.375
For the third sample, mean= 6.625
Range of sample means=Maximum Mean- Minimum Mean
= 6.625 - 6.375
= 0.25
The students will estimate the average backpack weight of their classmates using sample means, the true statement is:
The closer the range of the sample means is to 0, the more confident they can be in their estimate.
Learn more about range here:
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According to the p-value, the correct option regarding the decision of the test hypothesis is:
v. No, because 0.283 > 0.05.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, we test if the proportion is still of 0.53, that is:
At the alternative hypothesis, we test if it has increased, that is:
.
<h3>What is the decision according to the p-value?</h3>
- If p-value > significance level, we do not reject the null hypothesis.
- If p-value < significance level, we reject the null hypothesis.
In this problem, the p-value is of 0.283 > 0.05, hence there is not sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago, which means that option V is correct.
More can be learned about p-values at brainly.com/question/16313918
Answer:
22.88 cm^3
Step-by-step explanation:
The volume of a sphere formula is (4/3)*pi * (radius)^3
Since the diameter is 5.08cm, we divide by 2 to find the radius which is 2.54 cm.
Also because of the fact that 2/3 is showing outside the cone, that means 1/3 is inside the cone. Therefore, we have to multiply the volume by 1/3.
We have:
Volume = (4/3) * pi * (2.54)^3 * (1/3)
= 22.88 cm^3
Answer and Step-by-step explanation:
Solution:
Given:
Assume that 46% of consumers are comfortable to deliver their purchase.
Five consumers randomly selected.
Exactly three of them are comfortable with delivery by drones.
Identify the value of n, x, p?
Probability of success on any one trial = 46% = 0.46
Probability of failure on any trial = q = 1-p
= 1- 0.46
= 0.54
The number of trial = n = 5
The number of comfortable consumers =x = 3
n represent the number of subject included.in this question, there are five consumers randomly selected.
X represents the number of success. In question, there are exactly three consumers that are comfortable with delivery by drones.
P represents the probability of success, and q represent the probability of failure.
Hence,
n = 5
x= 3
p = 0.46
q= 0.54
