You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2...

You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.

Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2

You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size n1=12n1=12 with a mean of M1=71.3M1=71.3 and a standard deviation of SD1=11.6SD1=11.6 from the first population. You obtain a sample of size n2=25n2=25 with a mean of M2=82.2M2=82.2 and a standard deviation of SD2=12.1SD2=12.1 from the second population.

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.

Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2

You obtain a sample of size n1=61n1=61 with a mean of M1=65.1M1=65.1 and a standard deviation of SD1=18.6SD1=18.6 from the first population. You obtain a sample of size n2=79n2=79 with a mean of M2=54.8M2=54.8 and a standard deviation of SD2=20.4SD2=20.4 from the second population.

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = ±±

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

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Expert Solution

orchestra answered 1 year ago

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