You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample
Posted: Wed May 11, 2022 6:55 pm
You are testing the claim that the mean GPA of night students is
different from the mean GPA of day students. You sample 45
night students, and the sample mean GPA is 2.57 with a standard
deviation of 0.84. You sample 25 day students, and the sample
mean GPA is 2.69 with a standard deviation of 0.36. Test the
claim using a 5% level of significance. Assume the population
standard deviations are unequal and that GPAs are normally
distributed.
What are the correct hypotheses?
H0: Select an
answer μ₁ x̄₁ σ² p s² μ x̄₂ μ₂ = Select
an
answer μ₂ p x̄₁ μ₁ σ² x̄₂ μ s²
H1: Select an
answer μ₂ x̄₂ μ₁ σ² μ p x̄₁ s² ? > = ≤ ≠ < ≥ Select
an
answer μ x̄₁ s² x̄₂ σ² μ₁ p μ₂
Based on the hypotheses, find the following:
Test Statistic = (Rounded to 3 decimal places.)
Critical Values = ±± (Just enter the positive CV, rounded
to 3 decimal places. For this calculation, if you do not have a
Ti-84 and the degrees of freedom is not on Table F, then please use
the =T.INV(Area to left,df) function in GoogleSheets to report the
answer accurate to three decimal places.)
The correct decision is to Select an answer Fail to
reject the null hypothesis Reject the null
hypothesis
The correct summary would be: Select an answer There is
not enough evidence to support the claim There is not enough
evidence to reject the claim There is enough evidence to
support the claim There is enough evidence to reject the
claim that the mean GPA of night students is different
from the mean GPA of day students.
different from the mean GPA of day students. You sample 45
night students, and the sample mean GPA is 2.57 with a standard
deviation of 0.84. You sample 25 day students, and the sample
mean GPA is 2.69 with a standard deviation of 0.36. Test the
claim using a 5% level of significance. Assume the population
standard deviations are unequal and that GPAs are normally
distributed.
What are the correct hypotheses?
H0: Select an
answer μ₁ x̄₁ σ² p s² μ x̄₂ μ₂ = Select
an
answer μ₂ p x̄₁ μ₁ σ² x̄₂ μ s²
H1: Select an
answer μ₂ x̄₂ μ₁ σ² μ p x̄₁ s² ? > = ≤ ≠ < ≥ Select
an
answer μ x̄₁ s² x̄₂ σ² μ₁ p μ₂
Based on the hypotheses, find the following:
Test Statistic = (Rounded to 3 decimal places.)
Critical Values = ±± (Just enter the positive CV, rounded
to 3 decimal places. For this calculation, if you do not have a
Ti-84 and the degrees of freedom is not on Table F, then please use
the =T.INV(Area to left,df) function in GoogleSheets to report the
answer accurate to three decimal places.)
The correct decision is to Select an answer Fail to
reject the null hypothesis Reject the null
hypothesis
The correct summary would be: Select an answer There is
not enough evidence to support the claim There is not enough
evidence to reject the claim There is enough evidence to
support the claim There is enough evidence to reject the
claim that the mean GPA of night students is different
from the mean GPA of day students.