Answer to Question #89702 in Statistics and Probability for Surya

Question

Table 1
22.8 27.0 27.9 30.4 33.4
24.8 27.2 27.9 31.1 33.9
24.8 27.4 28.2 31.4 35.3
26.0 27.4 29.4 32.4 35.7
26.0 27.4 29.6 33.1 36.3
26.1 27.6 29.8 33.2 40.2

1) Based on Table 1, estimate the percentage of students who are able to answer the quiz not more than 29.7 minutes.

Answer 1

$$22.8,\ 24.8,\ 24.8,\ 26.0,\ 26.0,\ 26.1,$$ $$27.0,\ 27.2,\ 27.4,\ 27.4,\ 27.4,\ 27.6,$$ $$27.9,\ 27.9,\ 28.2,\ 29.4,\ 29.6,\ 29.8,$$ $$30.4,\ 31.1,\ 31.4,\ 32.4,\ 33.1,\ 33.2,$$ $$33.4,\ 33.9,\ 35.3,\ 35.7,\ 36.3,\ 40.2$$

$$n=30$$

$$P(t\leq29.7)={17 \over 30}\approx0.5667$$

Approximately $56.67 \%$ of students are able to answer the quiz not more than 29.7 minutes.