Question

Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: ztable or ttable) 

a-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic 

a-2. Find the p-value.

a-3. Do you reject the null hypothesis at the 1% significance level? 

a-4. Interpret the results at α = 0.01 

Answer 1

Answer 2

Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table)
 
H₀: μ₁ − μ₂ = 0
H_A: μ₁ − μ₂ ≠ 0
 

x−1" role="presentation" style="margin: 0px; padding: 0px; font-variant: inherit; font-stretch: inherit; font-size: 13px; line-height: normal; font-family: inherit; border: 0px; -webkit-tap-highlight-color: transparent; outline: 0px; color: rgb(77, 77, 77); display: inline-table; word-spacing: normal; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x−1${\stackrel{-}{x}}_1$ = 57	x−2" role="presentation" style="margin: 0px; padding: 0px; font-variant: inherit; font-stretch: inherit; font-size: 13px; line-height: normal; font-family: inherit; border: 0px; -webkit-tap-highlight-color: transparent; outline: 0px; color: rgb(77, 77, 77); display: inline-table; word-spacing: normal; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x−2 = 63
σ1 = 11.5	σ2 = 15.2
n1 = 20	n2 = 20

a-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)