Tina collected data from a random sample of 600 students in her university asking whether or not they exercise more than 30 minutes per day. Based on the results, she reports that 53% of the students in the nation exercise more than 30 minutes per day. Why is this statistic misleading?

Tina collected data from a random sample of 600 students in her university asking whether or not they exercise more than 30 minutes per day. Based on the results, she reports that 53% of the students in the nation exercise more than 30 minutes per day. Why is this statistic misleading?

This statistic is misleading because Tina collected a university data and then made her conclusion based on a wrong population sample, that is, the nation.

Step-by-step explanation:

Based on the information given in the question, it is observed that her sample population was 600 university students, but the report of her study indicates vividly that she made her conclusion based on a wrong population sample, that is, the nation.

Therefore, the sample is biased, and the result obtained by her is misleading.

The sample is biased.

Explanation:

In this case the sample is biased. The individuals included in the survey are not representative of the general population, as their school students do not generally have the same workout patterns as the entire population of national students.

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step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt