Question

In: Statistics and Probability

Assume you are provided the following 3 types of information and for each case you are...

Assume you are provided the following 3 types of information and for each case you are assigned to calculate a 90% confidence interval around the sample mean. Answer the questions below based on the provided information.

An airline wants to estimate the number of tickets sold for a daily flight between Los Angeles and New York. Suppose a sample of 40 flights gives a sample mean of 125.5 (Assume that the sample standard deviation is σ = 20.5 and the population does not follow a normal distribution).

Expert Solution

Solution

Given that,

=125.5

=20.5

n = 40

At 90% confidence level the z is ,

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z/2 = Z0.05 = 1.645

Margin of error = E = Z/2* ( $\sqrt$ /n)

= 1.645 * (20.5 / $\sqrt$ 40 )

=5.3

At 90% confidence interval estimate of the population mean is,

- E < < + E

125.5 - 5.3 < < 125.5+ 5.3

120.2 < < 130.8

(120.2 ,130.8)

orchestra answered 1 year ago

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