8/17/2019 Math 6 Finals

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St. Peter’s College

Sabayle St., Iligan CityMath 6 - ELEMENTARY STATISTICS

I. y!othesis Testing "#- test an$ t- test%

1. Body temperatures were obtained from a sample of 36 identical crabs exposed to air at 26.2°C.

Test the hypothesis that the mean body temperature of this species of crab under this condition

exceeds 26.2°C if the sample had a mean temperature of 26.5°C with a standard deiation of!."°C at !.!5 leel of si#nificance.

2. $ random sample of %! boys showed a mean wei#ht of 12! lbs. with a standard deiation of 12 lbs. The

standard wei#ht of their aera#e a#e is about 13! lbs. Test the hypothesis that the selected boys are

si#nificantly li#hter than the standard wei#ht at !.!1 leel of si#nificance.

3. 5! smo&ers were 'uestioned about the number of hours they sleep each day. (e want

to test the hypothesis that the smo&ers need less sleep than the #eneral public which

needs an aera#e of "." hours of sleep if the sample mean is  ".5 and the population

standard deiation is !.5 at !.!5 leel of si#nificance

II. &rite the table 'or testing in #-test (t-test "'or)*la%

St. Peter’s College

Sabayle St., Iligan CityMath 6 - ELEMENTARY STATISTICS

I. y!othesis Testing "#- test an$ t- test%

1. Body temperatures were obtained from a sample of 36 identical crabs exposed to air at 26.2°C.

Test the hypothesis that the mean body temperature of this species of crab under this condition

exceeds 26.2°C if the sample had a mean temperature of 26.5°C with a standard deiation of

!."°C at !.!5 leel of si#nificance.2. $ random sample of %! boys showed a mean wei#ht of 12! lbs. with a standard deiation of 12 lbs. The

standard wei#ht of their aera#e a#e is about 13! lbs. Test the hypothesis that the selected boys are

si#nificantly li#hter than the standard wei#ht at !.!1 leel of si#nificance.

3. 5! smo&ers were 'uestioned about the number of hours they sleep each day. (e want

to test the hypothesis that the smo&ers need less sleep than the #eneral public which

needs an aera#e of "." hours of sleep if the sample mean is  ".5 and the population

standard deiation is !.5 at !.!5 leel of si#nificance

II. &rite the table 'or testing in #-test (t-test "'or)*la%

St. Peter’s College

Sabayle St., Iligan CityMath 6 - ELEMENTARY STATISTICS

I. y!othesis Testing "#- test an$ t- test%

1. Body temperatures were obtained from a sample of 36 identical crabs exposed to air at 26.2°C. Test the

hypothesis that the mean body temperature of this species of crab under this condition exceeds 26.2°C if

the sample had a mean temperature of 26.5°C with a standard deiation of !."°C at !.!5 leel of

si#nificance.2. $ random sample of %! boys showed a mean wei#ht of 12! lbs. with a standard deiation of 12 lbs. The standard

 wei#ht of their aera#e a#e is about 13! lbs. Test the hypothesis that the selected boys are si#nificantly li#hter than thestandard wei#ht at !.!1 leel of si#nificance.

3. 5! smo&ers were 'uestioned about the number of hours they sleep each day. (e want

to test the hypothesis that the smo&ers need less sleep than the #eneral public which

needs an aera#e of "." hours of sleep if the sample mean is  ".5 and the population

standard deiation is !.5 at !.!5 leel of si#nificance.

II. &rite the table 'or testing in #-test (t-test