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A study conducted to measure the academic performance and attention span of teenagers reported that the mean time to distraction for 80 teen
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
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Mathematics
4 years
2021-07-23T17:29:16+00:00
2021-07-23T17:29:16+00:00 1 Answers
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Answer:
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
Step-by-step 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.