Testing Hypotheses about Means: The One-Sample t-Test
Samantha J owns a painting company ithat focuses on residential properties. She recently began an email marketing campaign using Constant Contact to drum up business. Samantha’s nephew Bobby is a finance major at NYU, with a minor in Business Analytics and recently began his summer job at Sammy Jones Paints the Way. Bobby recommends to his Aunt Samantha that the Company undertake a statistical analysis to test if mean paint sales have increased since implementing the Constant Contact email marketing campaign. Bobby selects 24 sales records at random from the company’s monthly access log of 1,200 and finds a mean amount spent of $4,273.71 with a standard deviations of $1,500.
Test the hypothesis that the mean = $3,792 (as it was before the Constant Contact email marketing campaign was implemented) against the alternative that it has increased with a 95% level of confidence and fully report your results (in complete sentences).
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