The bowling scores for six people are: 22,114,115,120,122,125What is the most appropriate measure of center? A.the median B.the
1 answer:
To find the correct answer we have to find the median, the mean, the range
To find the median arrange the scores from smallest to greatest
22, 114, 115, 120, 122, 125
The median is the average of the 2 middle scores
Since the middle scores are 115, and 120, then
The median is
The mean is the sum of the scores divided by the number of scores
Because of the lower score (22) the mean, not an appropriate measure of center
The range is the difference between the greatest and the smallest score
Since the greatest score is 125 and the smallest score is 22, then
It is the same with the mean, then it is also not an appropriate measure of center
The standard deviation is for a sample of scores, then it is not the answer
Then the most appropriate measure of center is the median
The answer is A
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Answer:
Step-by-step explanation:
Hello!
You want to test two samples of batteries to see is the mean voltage of these battery types are different.
<u>Sample 1 </u>(type K)
n₁= 37
sample mean x₁[bar]= 8.54
standard deviation S₁= 0.225
<u>Sample 2 </u>(Type Q)
n₂= 58
sample mean x₂[bar]= 8.69
standard deviation S₂= 0.725
1. The test hypothesis are:
H₀: μ₁ = μ₂
H₁: μ₁ ≠ μ₂
2. I'll apply the Central Limit Theorem and approximate the distribution of the sample means to normal so that I can use an approximate Z statistic for this test.
Z:<u> (x₁[bar] - x₂[bar]) - (μ₁ - μ₂)</u> ≈ N(0;1)
√ (S₁²/n₁) + (S₂²/n₂)
= (8.54 - 8.69) / [√ (0.225²/37) + (0.725²/58)]
= -1.468 ≅ -1.47
3. This is a two tailed test, so you'll have two critical values
You'll reject the null hypothesis if ≤ -1.96 or if
≥ 1.96
You'll not reject the null hypothesis if -1.96 < < 1.96
4.
Since the value = -1.47 is in the acceptance region, the decision is to not reject the null hypothesis.
I hope it helps!