The average amount of time boys and girls ages 7 to 11 spend playing sports each day is believed to be the same. A study is done and data are collected, resulting in the data in table. Each populations has a normal distribution. Order goes from left to right: Sample size, avg # of hrs playing sports per day, sample standard deviation Girls 9 2 0.8660 Boys 16 3.2 1.0 is there a difference in the mean amount of time boys and girls age 7 to 11 play sports each day? Test at the 5% level of significance. Assume that the variances are not equal. Subscripts: 1: Girls; 2: Boys What is the question/claim to be tested in symbols the hypothesis is Ho: Ha: which hypothesis matches the claim test objective is to reject or support level of significance a=.05 type of test (left, right, two-tailed) the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST) calculate the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST) calculate the applicable test statistic z or t= p-value= compare p-value to a (eg. p-value greater than or less than a) decision (reject Ho/Failed to reject) evidence (enough/not enough) test objective is to (reject/support): conclusion: at ____ level of significance, _____ _____ that there is a difference in the mean amount of time boys and girls aged seven to 11 play sports each day.
The average amount of time boys and girls ages 7 to 11 spend playing sports each day is believed to be the same. A study is done and data are collected, resulting in the data in table. Each populations has a
Order goes from left to right:
| Girls | 9 | 2 | 0.8660 |
| Boys | 16 | 3.2 | 1.0 |
is there a difference in the mean amount of time boys and girls age 7 to 11 play sports each day? Test at the 5% level of significance. Assume that the variances are not equal.
Subscripts: 1: Girls; 2: Boys
What is the question/claim to be tested in symbols
the hypothesis is
Ho:
Ha:
which hypothesis matches the claim
test objective is to reject or support
level of significance a=.05
type of test (left, right, two-tailed)
the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST)
calculate the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST)
calculate the applicable test statistic
z or t=
p-value=
compare p-value to a (eg. p-value greater than or less than a)
decision (reject Ho/Failed to reject)
evidence (enough/not enough)
test objective is to (reject/support):
conclusion:
at ____ level of significance, _____ _____ that there is a difference in the mean amount of time boys and girls aged seven to 11 play sports each day.
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