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Important instructions: For all situations requiring a hypothesis test (z test, one-sample t test, one-sample variance test o
6. *(5 points) These values are reaction times in milliseconds) of teenagers who have trained as musicians. The expected reac
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Answer:

One sample t test is used

HO :μ = 18 H, :μ< 18
 
This is a one tailed test ( lower tail test).

T= n

213.8 TE = 17.8167 12

standard deviation

12 – (Στ)2 /n) η – 1

S = 3812.64 - (213.8)2/12 12 - 1 = 0.5589

test statistic

(1 - )

t = (17.8167 – 18) 0.5589 V12

= -1.1362             

Table value of t with 11 DF at 0.05 level = -1.7959

Rejection Region: Reject Ho if t < -1.7959

Calculated t = -1.1362 not in the rejection region

The null hypothesis is not rejected.

There is not enough evidence to conclude that musician teenagers significantly faster than the reaction time of 18 milliseconds.

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