You work for an insurance firm and you must choose between two companies to handle your employer’s investment portfolio. Although both companies have claims about the mean 1-year return for a $10 000 investment, you prefer to take independent samples from company A and company B. All you care about is whether there is a difference in the mean 1-year return (measured in dollars) of each of the two companies. The Minitab summary of the analysis is given below.

a) Write the null and alternative hypothesis.
b) Based on the Minitab output, make a decision about the null hypothesis at 5% signficance.
c) Write a statistical conclusion.

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Two-Sample T-Test and Cl SE Sample N Mean StDev Mean 15 2013 45 20 2200 95 N 175 425 Difference = μ (1) - μ (2) Estimate for difference: -187 95% CI for difference: (-403, 29) T-Test of defference: = 0 (vs): T-value = 1.78 P-Value = 0.087 DF = 26