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Today at 1:08 PM
Mathematics

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A random sample of 30 airline flights during a storm had a mean delay of 40 minutes with a standard deviation of 5 minutes. a. W hat parameter are we wanting to estimate ? U se symbolic notation. b. W hat is the point estimate ? U se both the symbolic notation and the value. c. Calculate t he 95 % one - sided upper confidence interval of the population mean delay time during the storm. d. I nterpret the interval in context of the original problem.

Answer :

AlonsoDehner AlonsoDehner

Today at 1:13 PM

Answer:

(40, 41.537)

Step-by-step explanation:

Given that a random sample of 30 airline flights during a storm had a mean delay of 40 minutes with a standard deviation of 5 minutes.

n =30: Sample mean = 40 and sample std dev s = 5

a) The population mean delay time we want to estimate

b) Point estimate = sample mean=[tex]\bar x=40[/tex]

c) Std error of sample = [tex]\frac{s}{\sqrt{n} } \\= 0.913[/tex]

df = 39

t critical value for 95% one side = 1.684

Margin of error = [tex]1.684*SE=1.537[/tex]

Confidence interval one tailed = (40, 41.537)

We are 95% confidence that at random for samples of large size, the mean delay time would be within 40 and 41.537

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