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In: Math

Assume that you have a sample of n 1 equals 8n1=8​, with the sample mean Upper...

Assume that you have a sample of

n 1 equals 8n1=8​,

with the sample mean

Upper X overbar 1 equals 48X1=48​,

and a sample standard deviation of

Upper S 1 equals 4 commaS1=4,

and you have an independent sample of

n 2 equals 12n2=12

from another population with a sample mean of

Upper X overbar 2 equals 35X2=35

and the sample standard deviation

Upper S 2 equals 7.S2=7.

Complete parts​ (a) through​ (d) below.

What is the value of the​ pooled-variance t Subscript STATtSTAT test statistic for testing Upper H 0 : mu 1 equals mu 2H0: μ1=μ2​?, In finding the critical​ value, how many degrees of freedom are​ there?, Using a significance level of alpha α equals=0.250.25​, what is the critical value for a​ one-tail test of the hypothesis, Upper H 0 : mu 1 less than or equals mu 2H0: μ1≤ μ2 against the alternative Upper H 1 : mu 1 greater than mu 2 question mark, What is your statistical​ decision?

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