A kitchen cabinet manufacturer is interested in comparing assembly times for two assembly process. A random sample of five kitchen cabinets is selected and the assembly time ( in minutes) on each cabinet of each process is recorded, as shown in table below.

Cabinet Process 1 Process 2

1 115 140

2 165 155

3 90 85

4 105 110

5 90 85

Based on the data, can the manufacturer conclude, at the 5% level of significance, that the mean assembly times for the two process differ?

show the 5steps of hypothesis in your solutions.

STEP 1:State your null hypothesis H₀and alternative hypothesis H₁.

STEP 2:State the level of significance.

STEP 3:Show your output analysis from EXCEL.Identifyand STATE yourp-value.

STEP 4:State your decision rule.

STEP 5: State/make yourDECISIONwhether to reject or not to reject null hypothesisWITH REASON.

Write theCONCLUSIONof your test.