During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the
dog has to run. If the actual length of the rope is 12 1/2 feet, what is the scale used in the drawing?
1 answer:
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Answer:
B. z Subscript alpha divided by 2 zα/2 = 1.96.
Step-by-step explanation:
We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn girls:
n = 236, = 30.3 hg, s = 7.2 hg. The confidence level is 95%.
As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.
It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.
Here, = level of significance = 1 - 0.95 = 0.05 or 5%
= 0.025 or 2.5%
So, the value of in the z table is given as 1.96 with a 2.5% level of significance.