For each question, determine the best method for analyzing the data. A public op

Question

For each question, determine the best method for analyzing the data. A public opinion poll wanted to determine the difference between income levels for men and women in the U.S. The poll obtained a random sample of 200 and 200 women, and asked each person for their current income (in dollars per year). a. One-sample proportion b. Two-sample mean, independent samples c. Two-sample proportion d. Two-sample mean, dependent samples (a.k.a. paired t-test) A product researcher wanted to determine which of 2 color printers, Vivera or Apollo, had the fastest print speed. The researcher selected n = 30 different documents and printed them using the Vivera printer. The researcher then printed the same 30 documents using the Apollo printer. The researcher measured the time in seconds that it took to print each document. a. One-sample proportion b. Two-sample mean, independent samples c. Regression Analysis d. Two-sample mean, dependent samples (a.k.a. paired t-test)

Explanation / Answer

(a)

Here

Claim : To check wheather the difference between income levels for men and women in the U.S

And we have given two samples

n1= 200 and n2 = 200

here the income levels for mean and women are the dependent samples and which is paired

thats why here we use

Two sample mean dependent samples (i.e paired t test )

that is here option D is correct.

(b)

Here

Claim : To check wheather 2 color printers vivera or apollo had fastest print speed or not.

Here we have also given that two samples

n1 = number of vivera printers = 30

n2= number of apollo printers = 30

And Here both the samples are independent to each other

thats why here we use

Two sample mean test for independent samples

that is here option b is correct

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