Question

The owner of a chain of mini-markets wants to compare the sales performance of two of har stores, Store 1 and Store depending on the day of the week and the season of the year, so she decides to eliminate such sample of days. After choosing a random sample of 10 days, she records the sales (in dollars) for eacn store on these days, as shown in 2 Sales can vary considerably eff by making sure to record each store's sales on the same (Store 1-Store 2) 681 425 256 603 314 484 163 190 124 223 415 864 136 149 192 416 373 181 10933 517 Based on these data, can the owner conclude, at the 0.01 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regard ng μ d which is μ with a letter "d subscript), the population mean daily sales diference between the two stores. Assume that this population of differences (Store 1 minus Store 2) is normally distributed. a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table (If necessary, consult a list of fo MacBook Air

Answer 1

NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS Ha:

0メpm

alpha=0.01

difference means= 162.80

difference standard deviation= 115.75

t= 162.8/115.75/sqrt(10)

t= 162.80/115.75/3.16

t= 162.80/36.63

t= 4.448

t critical value= -3.250 and 3.250

Since t calculated greater than t critical therefore we reject null hypothesis H0.

At 0.01 the owner conclude that the mean daily sales of the store is different.