An entrepreneur examines monthly sales (in $1,000s) for 40convenience stores in Rhode Island. (You may find it usefulto reference the appropriate table: z tableor t table)

Excel data

Sales	Sqft
140	1810
160	2500
80	1010
180	2170
140	2310
110	1320
90	1130
110	1500
130	1950
80	1010
110	1770
140	1840
140	2330
140	2490
120	1550
120	1900
210	2320
120	1700
180	2500
170	2380
160	1880
120	1780
120	1610
90	1230
140	1920
100	1260
90	1260
190	2470
130	2420
110	1550
100	1260
140	2230
100	1500
140	1970
120	1530
120	1800
110	1520
170	2210
100	1440
110	1470

a. Select the null and the alternativehypotheses in order to test whether average sales differ from$130,000.

• H₀: μ = 130,000;H_A: μ ≠ 130,000

• H₀: μ ≥ 130,000;H_A: μ < 130,000

• H₀: μ ≤ 130,000;H_A: μ > 130,000

b-1. Calculate the value of the test statistic.(Negative value should be indicated by a minus sign. Roundintermediate calculations to at least 4 decimal places and finalanswer to 3 decimal places.)

b-2. Find the p-value.

• p-value < 0.01

• 0.01 ≤ p-value < 0.02

• 0.02 ≤ p-value < 0.05

• 0.05 ≤ p-value < 0.10

• p-value ≥ 0.10

c. At α = 0.05 what is yourconclusion? Do average sales differ from $130,000?

• Reject H₀; average sales differ from$130,000.

• Reject H₀; average sales do not differ from$130,000.

• Do not reject H₀; average sales differ from$130,000.

• Do not reject H₀; average sales do notdiffer from $130,000.