Answered: The owner of a chain of mini-markets…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 10 days, she records the sales (in dollars) for each store on these days, as shown in the table below.

Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding μd (which is μ with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of differences (Store 1 minus Store 2) is normally distributed.

Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified. (If necessary, consult a list of formulas.)

(a) State the null hypothesis H and the alternative hypothesis H .
1'
H, :0
H :0
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)
D and
(e) At the 0.10 level, can the owner conclude that the mean daily sales of the two stores differ?
O Yes ONo

Difference
Day Store 1 Store 2
(Store 1 - Store 2)
1
596
630
-34
2
827
686
141
576
477
99
4
414
354
60
5
938
703
235
309
372
- 63
7
946
586
360
8
812
499
313
9
623
495
128
10
560
407
153
3.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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