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Semmy [17]
3 years ago
8

In an article in Marketing Science, Silk and Berndt investigate the output of advertising agencies. They describe ad agency outp

ut by finding the shares of dollar billing volume coming from various media categories such as network television, spot television, newspapers, radio, and so forth.Suppose that a random sample of 392 U.S. advertising agencies gives an average percentage share of billing volume from network television equal to 7.41 percent, and assume that alpha equals 1.43 percent. Calculate a 95 percent confidence interval for the mean percentage share of billing volume from network television for the population of all U.S. advertising agencies.
Mathematics
1 answer:
fredd [130]3 years ago
7 0

Answer: (7.27%, 7.55%)

Step-by-step explanation:

As per given , we have

Sample size : n= 392

Sample mean : \overline{x}=7.41\%

\sigma=1.43\%

Critical two-tailed z-value for 95% confidence = z_{\alpha/2}=1.96

Required confidence interval would be :

7.41\%\pm (1.96)\dfrac{1.43\%}{\sqrt{392}}\\\\=7.41\%\pm 0.14\%\\\\=(7.27\%, 7.55\%)

Hence, the required 95% confidence interval for the mean percentage share of billing volume from network television for the population of all U.S. advertising agencies : (7.27%, 7.55%)

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Answer:

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Step-by-step explanation:

First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.

Factors of 54

1,2,3,6,9,18,27,54

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The GCF is 9 because is the greatest factor that is common to both numbers.

Now we have to divide 54/9 and 63/9

54/9 = 6

63/9 = 7

So now we can write the product of the GCF and another sum:

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<u>step(i)</u>:-

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