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svet-max [94.6K]
3 years ago
9

The lengths of text messages are normally distributed with a population standard deviation of 3 characters and an unknown popula

tion mean. If a random sample of 24 text messages i taken and results in a sample mean of 27 characters, find a 99% confidence interval for the population mean. Zo.10Z0.0520.025 Zo.01 Z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Select the correct answer below: a.(26.21,27.79) b.(25.99.28.01) c.(25.93,28.07)
Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

25.4, 28.6

Step-by-step explanation:

Given parameters

sample size, n = 24

sample mean, X = 27

population standard deviation, s = 3

critical value, Zα/2, where α = 0.01

99% confidence Interval, CI, is given as follows

CI = X ± Zα/2 × (s/√n)

Zα/2 = Z0.01/2 = Z0.005 = 2.576

CI = 27 ± 2.576 × (3/√24)

   = (25.42 ,28.57)

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Answer:

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When getting an increase, (using ^ for this example) add 25 to 250, getting 275. That's one increase of 10%. For an increase of 5 years (x = 5) divide 250/10=25, then multiply 25x5=125. That is the increase number. Add 125+250=375. Y=375

X = 5, Y = 375

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Hope this helps

~Nayiah~
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3 years ago
Read 2 more answers
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