A diet doctor claims Australians are, on average, overweight by more than 10kg. To test this claim, a random sample of 1
Posted: Wed May 04, 2022 12:11 pm
A diet doctor claims Australians are, on average, overweight by
more than 10kg. To test this claim, a random sample of 100
Australians were weighed and the difference between their actual
weight and their ideal weight was calculated and
recorded.
Use these data to test the doctor's claim at the 5% level of
significance.
1. Let μ be the population mean of excess
weight amongst Australians. The hypotheses for the required test
are
(a) H0 : μ > 10
against HA : μ = 10
(b) H0 : μ > 10
against HA : μ ≤ 10
(c) H0 : μ = 10
against HA : μ > 10
(d) H0 : μ = 10
against HA : μ ≠ 10
(e) none of these
2. The t statistic is (to 3 decimal
places)
3. The p value is (to 3 decimal places)
more than 10kg. To test this claim, a random sample of 100
Australians were weighed and the difference between their actual
weight and their ideal weight was calculated and
recorded.
Use these data to test the doctor's claim at the 5% level of
significance.
1. Let μ be the population mean of excess
weight amongst Australians. The hypotheses for the required test
are
(a) H0 : μ > 10
against HA : μ = 10
(b) H0 : μ > 10
against HA : μ ≤ 10
(c) H0 : μ = 10
against HA : μ > 10
(d) H0 : μ = 10
against HA : μ ≠ 10
(e) none of these
2. The t statistic is (to 3 decimal
places)
3. The p value is (to 3 decimal places)