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# Sample Size of Purchase Amounts

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Purchase Amounts for all Customers Shopping at a Local Supermarket on a Given Friday

Customer Amount
1 \$35.97
2 \$52.23
3 \$93.08
4 \$2.90
5 \$91.13
6 \$150.69 4. Problem 4 contains data of the amount that customers spend in a supermarket on a specific Friday. Assume this data represents the population.
7 \$75.76
8 \$95.74 a. What sample size would be required to be 95% sure that the estimate is within + \$10?
9 \$79.33 b. How would the sample size value change for a one sided interval (+\$10)
10 \$36.69 c. Use the data from the first 30 customer to create a sample n = 30. What is the 95% confidence interval for this sample data?
11 \$278.50 d. What is a generic 95% confidence interval for any sample n=30?
12 \$82.54
13 \$58.93
14 \$131.56
15 \$106.52
16 \$215.11
17 \$3.42
18 \$0.42
19 \$71.01
20 \$97.99
21 \$110.10
22 \$289.33
23 \$48.02
24 \$1.60
25 \$45.05
26 \$305.44
27 \$157.87
28 \$26.89
29 \$16.44
30 \$37.69
31 \$146.98
32 \$31.96
33 \$101.57
34 \$12.06
35 \$50.92
36 \$117.43
37 \$184.54
38 \$62.78
39 \$154.01
40 \$91.97
41 \$139.55
42 \$285.63
43 \$12.73
44 \$179.99
45 \$34.72
46 \$132.84
47 \$38.56
48 \$51.41
49 \$85.59
50 \$139.34
51 \$239.40
52 \$5.10
53 \$172.15
54 \$136.67
55 \$222.74
56 \$138.40
57 \$140.38
58 \$23.91
59 \$17.88
60 \$153.83
61 \$146.55
62 \$52.36
63 \$150.43
64 \$141.97
65 \$29.67
66 \$280.48
67 \$54.16
68 \$101.26
69 \$26.56
70 \$32.16
71 \$151.86
72 \$158.88
73 \$111.91
74 \$109.35
75 \$61.69
76 \$48.12
77 \$247.15
78 \$105.98
79 \$119.42
80 \$107.41
81 \$163.28
82 \$184.66
83 \$147.16
84 \$46.01
85 \$60.68
86 \$24.19
87 \$187.94
88 \$37.38
89 \$70.05
90 \$42.18
91 \$68.57
92 \$76.19
93 \$50.72
94 \$160.46
95 \$13.94
96 \$93.98
97 \$80.04
98 \$109.65
99 \$21.57
100 \$112.20
101 \$110.89
102 \$68.21
103 \$87.25
104 \$40.76
105 \$61.76
106 \$240.38
107 \$29.35
108 \$102.58
109 \$222.16
110 \$169.74
111 \$11.32
112 \$17.30
113 \$28.99
114 \$52.03
115 \$203.83
116 \$80.59
117 \$295.70
118 \$40.85
119 \$86.88
120 \$38.21
121 \$65.35
122 \$228.90
123 \$23.50
124 \$210.61
125 \$65.90
126 \$84.68
127 \$66.71
128 \$108.78
129 \$86.24
130 \$312.29
131 \$47.99
132 \$167.38
133 \$79.78
134 \$154.43
135 \$40.79
136 \$9.02
137 \$6.80
138 \$76.07
139 \$308.86
140 \$35.48
141 \$6.35
142 \$136.21
143 \$43.08
144 \$43.19
145 \$33.57
146 \$11.70
147 \$13.61
148 \$86.46
149 \$13.28
150 \$14.85
151 \$57.43
152 \$54.08
153 \$51.88
154 \$217.07
155 \$25.68
156 \$18.45
157 \$24.95
158 \$33.05
159 \$58.46
160 \$40.03
161 \$37.67
162 \$66.44
163 \$215.24
164 \$66.53
165 \$77.99
166 \$20.73
167 \$44.95
168 \$160.72
169 \$31.63
170 \$263.41
171 \$169.65
172 \$41.39
173 \$22.64
174 \$113.86
175 \$62.13
176 \$89.41
177 \$9.07
178 \$22.87
179 \$23.31
180 \$83.42
181 \$16.48
182 \$32.46
183 \$113.46
184 \$181.54
185 \$16.16
186 \$294.98
187 \$100.41
188 \$97.79
189 \$20.55
190 \$36.51
191 \$72.58
192 \$15.75
193 \$205.93
194 \$18.60
195 \$52.18
196 \$99.29
197 \$6.41
198 \$53.78
199 \$226.38
200 \$178.51
201 \$8.18
202 \$142.63
203 \$127.50
204 \$64.80
205 \$143.14
206 \$133.78
207 \$59.85
208 \$185.79
209 \$111.94
210 \$59.02
211 \$236.52
212 \$41.30
213 \$66.62
214 \$23.03
215 \$174.76
216 \$6.67
217 \$38.85
218 \$38.98
219 \$174.38
220 \$65.61
221 \$129.06
222 \$204.94
223 \$138.72
224 \$129.99
225 \$11.83
226 \$53.43
227 \$131.80
228 \$0.34
229 \$179.28
230 \$89.40
231 \$146.70
232 \$30.76
233 \$31.93
234 \$94.46
235 \$219.50
236 \$8.62
237 \$116.98
238 \$21.38
239 \$242.18
240 \$9.89
241 \$76.22
242 \$271.54
243 \$211.69
244 \$28.70
245 \$55.21
246 \$33.21
247 \$47.70
248 \$38.22
249 \$33.61
250 \$243.79
251 \$148.22
252 \$233.69
253 \$163.64
254 \$156.91
255 \$130.28
256 \$101.21
257 \$20.36
258 \$159.02
259 \$47.07
260 \$263.21
261 \$50.36
262 \$23.12
263 \$28.60
264 \$39.07
265 \$258.73
266 \$3.35
267 \$13.12
268 \$183.31
269 \$111.27
270 \$233.97
271 \$72.97
272 \$63.20
273 \$155.24
274 \$30.81
275 \$28.90
276 \$79.75
277 \$109.19
278 \$247.41
279 \$58.26
280 \$7.25
281 \$270.10
282 \$56.11
283 \$15.70
284 \$14.86
285 \$163.97
286 \$8.14
287 \$186.56
288 \$63.63
289 \$203.61
290 \$166.87
291 \$82.82
292 \$108.59
293 \$33.19
294 \$219.79
295 \$29.53
296 \$88.11
297 \$149.30
298 \$1.30
299 \$16.70
300 \$23.45
301 \$63.32
302 \$6.12
303 \$70.13
304 \$26.82
305 \$144.19
306 \$30.42
307 \$63.91
308 \$172.26
309 \$119.11
310 \$19.05
311 \$37.87
312 \$145.39
313 \$16.52
314 \$60.39
315 \$12.91
316 \$53.27
317 \$296.90
318 \$61.59
319 \$117.45
320 \$54.53
321 \$211.74
322 \$204.18
323 \$7.41
324 \$239.72
325 \$43.83
326 \$154.09
327 \$15.49
328 \$35.93
329 \$11.29
330 \$26.35
331 \$64.30
332 \$212.53
333 \$21.49
334 \$98.76
335 \$96.21
336 \$29.30
337 \$185.18
338 \$33.02
339 \$87.37
340 \$116.38
341 \$102.39
342 \$234.61
343 \$75.76
344 \$81.68
345 \$42.83
346 \$33.06
347 \$76.39
348 \$94.10
349 \$26.09
350 \$27.07
351 \$74.20
352 \$73.99
353 \$89.97
354 \$173.32
355 \$28.53
356 \$91.30
357 \$64.77
358 \$5.35
359 \$14.89
360 \$49.55
361 \$7.87
362 \$17.18
363 \$207.41
364 \$76.41
365 \$86.16
366 \$52.95
367 \$33.13
368 \$24.96
369 \$1.51
370 \$53.93
371 \$60.02
372 \$184.81
373 \$107.41
374 \$128.61
375 \$138.17
376 \$12.63
377 \$301.14
378 \$89.13
379 \$226.55
380 \$83.96
381 \$16.39
382 \$94.31
383 \$67.88
384 \$18.75
385 \$21.36
386 \$150.07
387 \$39.23
388 \$66.17
389 \$21.85
390 \$52.15
391 \$82.25
392 \$3.59
393 \$44.45
394 \$175.12
395 \$13.96
396 \$85.40
397 \$142.22
398 \$1.45
399 \$23.84
400 \$105.40
401 \$107.17
402 \$116.65
403 \$187.45
404 \$63.87
405 \$4.39
406 \$74.53
407 \$54.06
408 \$29.96
409 \$46.88
410 \$43.05
411 \$28.07
412 \$9.07
413 \$57.44
414 \$38.11
415 \$154.94
416 \$5.66
417 \$51.03
418 \$35.12
419 \$63.24
420 \$47.25
421 \$78.62
422 \$33.34
423 \$34.53
424 \$40.38
425 \$46.41
426 \$41.40
427 \$19.01
428 \$218.19
429 \$15.42
430 \$3.27

https://brainmass.com/statistics/hypothesis-testing/sample-size-274938

#### Solution Preview

See the attached file. Thanks. Hope this will help.

4. Problem 4 (P4 on the Exam template) contains data of the amount that customers spend in a supermarket on a specific Friday. Assume this data represents the population. (20 points)

a. What sample size would be required to be 95% sure that the estimate is within + \$10?
First calculate the Standard deviation of the population
Standard Deviation \$73.85
The get the value ...

#### Solution Summary

The solution examines the sample size for purchase amounts for shopping at a local supermarket.

\$2.19