These questions are for MKTG 470 subject.

1) A restaurant brand has 10 stores in California and 10 stores in New York, and CEO of this company is curious if there is a systematic difference in sales between stores in California versus New York. To answer his question, he collected sales data (you can download the data from the link below).

a) Write Hypotheses. (Null and Alternative)

b)

Find p-value from the t-table, and make a conclusion (use 5% as your significance level).

DF (degree of freedom): n_California + n_{New York} - 2

2)

Calculate t-statistics,

Test Statistic where: t=SX(X1X2)(12) X1X212SX=differenceinsamplemeansbetweentwogroups=hypothesizeddifferenceinpopulationmeans=samplestandarddeviationofdifferences,SX=n1s12+n2s22 and: DF=n1+n22 ni= sample size of group i si= sample standard deviation of group