µ1 = mean time spent by children in the 100 m race µ2 = mean of the time that the girls do in the 100 m race An elementary school physical education teacher claims that, on average, boys run faster than girls. 20 children ran 100 m in an average time of 12.3 seconds with a standard deviation of 3.3 seconds. 16 girls did an average time of 14.4 with a standard deviation of 4.2 seconds Race times are assumed to be normally distributed. Can it be considered, with α = 0.04, that the teacher's statement is valid? Calculate with 4 decimals Choose the correct conclusion the correct interpretation Select one: a) H0 is not rejected There is not enough evidence to consider, with 96% confidence, that on average boys run faster than girls. b) H0 is rejected There is not enough evidence to consider, with 96% confidence, that on average boys run faster than girls. c) H0 is rejected With a confidence of 96% it can be said that boys run faster than girls. d) H0 is not rejected With a confidence of 96% it can be said that boys run faster than girls.
µ1 = mean time spent by children in the 100 m race
µ2 = mean of the time that the girls do in the 100 m race
An elementary school physical education teacher claims that, on average, boys run faster than girls.
20 children ran 100 m in an average time of 12.3 seconds with a standard deviation of 3.3 seconds.
16 girls did an average time of 14.4 with a standard deviation of 4.2 seconds
Race times are assumed to be normally distributed.
Can it be considered, with α = 0.04, that the teacher's statement is valid?
Calculate with 4 decimals
Choose
- the correct conclusion
- the correct interpretation
Select one:
a)
H0 is not rejected
There is not enough evidence to consider, with 96% confidence, that on average boys run faster than girls.
b)
H0 is rejected
There is not enough evidence to consider, with 96% confidence, that on average boys run faster than girls.
c)
H0 is rejected
With a confidence of 96% it can be said that boys run faster than girls.
d)
H0 is not rejected
With a confidence of 96% it can be said that boys run faster than girls.
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