Adult males are taller, on average, than adult females. Visiting two recent American Youth Soccer Organization (AYSO) under 12 year old (U12) soccer matches on a Saturday, you do not observe an obvious difference in the height of boys and girls of that age. You suggest to your little sister that she collect data on height and gender of children in 4th to 6th grade as part of her science project. Here are her findings.
In a sample of 81 boys, your sister finds that the sample average is equal to 60.07 with a sample standard deviation of 1.38. Suppose this is Group 1.
In a sample of 54 girls, your sister finds that the sample average is equal to 58.21 with a sample standard deviation of 1.81. Suppose this is Group 2.
Let your null hypothesis be that there is no difference in the mean height of females and males at this age level.
The standard error of the difference between their mean scores is [ ].
(Round your answer to two decimal places.)
The 95% confidence interval for the difference between the mean height of females and males at this age level: [ , ].
(Round your answer to two decimal places .)
Using the standard error value you found above, calculate the t-statistic for comparing the two means. [ ]
(Round your answer to two decimal places .)"