Question

A study conducted to measure the academic performance and attention span of teenagers reported that the mean time to distraction for 80 teenage boys working on an independent task was 6.2 min in the study with a sample standard deviation of 2.1 minutes. Is there convincing evidence that the average attention span for teenage boys is more than 5 minutes

Answer 1

we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes

Explanation:

H0 : μ ≤ 5

H1 : μ > 5

Sample mean, xbar = 6.2

Sample Standard deviation, s = 2.1

Sample size, n = 80

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(6.2 - 5) ÷ (2.1 / sqrt(80))

1.2 ÷ 0.2347871

Test statistic = 5.1110133

Testing with α = 0.05

Using Pvalue from a test score calculator :

Pvalue = < 0.00001

0.00001 < 0.05

Since,

Pvalue < α ; We reject H0

Hence, we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes.