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Marat540 [252]
3 years ago
6

The expression P(z > –1.53) represents the area under the standard normal curve above a given value of z. Find P(z > –1.53

).
Mathematics
1 answer:
Damm [24]3 years ago
6 0
We can only look up the value in the normal distribution table if the probability of z is LESS than a certain value AND the value is positive.
If the probability of z is MORE than the value, then you need to do 1 minus the probability.
I.e. 1 - 0.93699
[0.93699 is found in the normal distribution table, searching for 1.53]
However, since the value (-1.53) is also negative, you need to do 1 minus AGAIN. 
I.e. 1 - 0.93699

Since you have to do both, the answer should be obtained as follows:
1 - (1 - 0.93699) = 0.93699

Sorry for the terrible explanation :/ 
And apologies if anything is incorrect. Hope this helped though!
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When obtaining a confidence interval for a population mean in the case of a finite population of size N and a sample size n whic
Elanso [62]

Answer:

95% Confidence interval for the mean

142.8 \leq\mu\leq158.4

Step-by-step explanation:

We have to calculate a 95% confidence interval for the mean of a finite population.

The error is multiplied by the following finite population correction factor:

cf=\sqrt{\frac{N-n}{N-1} }

The standard deviation can be estimated as

\sigma=\frac{s}{\sqrt{n}} \sqrt{\frac{N-n}{N-1} } =\frac{24.4}{\sqrt{32} }* \sqrt{\frac{200-32}{200-1} }=3.963

The 95% confidence interval has a z value of 1.96, so it becomes:

M-z*\sigma_c\leq\mu\leq M+z*\sigma_c\\\\150.6-1.96*3.963\leq\mu\leq 150.6+1.96*3.963\\\\ 142.8 \leq\mu\leq 158.4

5 0
3 years ago
The booster club at school is raising funds by selling t-shirts at each athletic event. They must pay the manufacturer $110 plus
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Step-by-step explanation:

Total money paid=$110+$5.5=115.5

Cost of each shirt=$8

Therefore,

No. of T shirt req.=115.5/8=14.4

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How to identify the slope of the line that passes through the given points 4,4 and -2,-3?
Eva8 [605]
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