The parallelogram shown below has an area of 545454 units^2
1 answer:
Question:
The parallelogram shown below has an area of 54 units squared
Find the missing height.
Answer:
6 units
Step-by-step explanation:
Given:
Area = (54 units)²
Base = 9 units (from the image attached)
Required:
Find the height missing h
The formula for area of a parallelogram is: Area = base * height
Here, the area is known as 54 units², the base is 9 units. To find the height, we'll make h subject of the formula.
Thus,
A = b*h
Solve for h
Height of the parallelogram is 6 units
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Answer:
1) The normal distribution should be used for the sample mean because the population distribution is known to be normal (answer b).
2) C. H0: mu = 519, H_1: mu not equal to 519, reject if z> 1.96 or z< -1.96.
3) Yes. There is enough evidence to support the claim that the true mean is not 519 ml.
Step-by-step explanation:
1) When the population follows a normal distribution, it is correct to assume a normal distribution for the sample mean.
2) As it is a two-tailed decision rule, we are interested in detecting a significant difference below and above the mean. This is why we use the unequal sign in the alternative hypothesis.
The null hypothesis state that there is not significant difference from 519.
The critical value for a significance level of 5% is z=1.96.
3) The claim is that the true mean is not 519 ml.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample has a size n=16.
The sample mean is M=522.
The standard deviation of the population is known and has a value of σ=6.
We can calculate the standard error as:
Then, we can calculate the z-statistic as:
This test is a two-tailed test, so the P-value for this test is calculated as:
As the P-value (0.046) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the true mean is not 519 ml.