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AleksAgata [21]

3 years ago

9

(08.01 MC)Below are the data collected from two random samples of 500 American students on the number of hours they spend in sch

ool per day (rounded to the nearest hour):
Number of hours in school per day 4 5 6 7 8
Sample A: Number of students 70 100 125 135 70
Sample B: Number of students 80 90 120 125 85

Meg concludes that students spend a mean of 7 hours in school each day. Tara thinks the mean is 6 hours. Who is correct—Meg or Tara? Explain your answer in two or three sentences. Make sure to use facts to support your answer.

1 answer:

galina1969 [7]3 years ago

4 0

Answer:

The mean time spent in school is approximately 6 hours each day and Tara is correct

Step-by-step explanation:

The given data is presented here as follows;

Number of hours in school per day, 4, 5, 6, 7, 8

Sample A:, 70 100 125 135 70

Sample B:, 80 90 120 125 85

For sample A, we have;

The total number of hours spent by sample A = 4 × 70 + 5 × 100 + 6 × 125 + 7 ×135 + 8 ×70 = 3035 hours

The number of students in sample A = 70 + 100 + 125 + 135 + 70 = 500

The mean number of hours spent in school by sample A = 3035 /500 = 6.07

For sample B, we have;

The total number of hours spent by sample A = 4 × 80 + 5 × 90 + 6 × 120 + 7 ×125 + 8 ×85 = 3045 hours

The number of students in sample A = 80 + 90 + 120 + 125 + 85 = 500

The mean number of hours spent in school by sample A = 3045 /500 = 6.09

The cumulative data, we have;

(3035 + 3045)/1000 = 6.08

Therefore, the mean is approximately 6 hours each day and Tara is correct.

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