The random sample below is obtained to test the following hypothesis about the population mean.
H0: μ ≥1500
H1: μ < 1500
| 1509 |
1028 |
1640 |
784 |
1025 |
271 |
2384 |
888 |
1164 |
| 541 |
2179 |
1290 |
1358 |
1898 |
486 |
460 |
1383 |
1479 |
| 323 |
739 |
1088 |
2439 |
966 |
616 |
564 |
2086 |
1181 |
| 1473 |
724 |
1879 |
2301 |
2454 |
301 |
1103 |
2181 |
986 |
| 2532 |
1026 |
258 |
2168 |
1980 |
1517 |
2300 |
1905 |
1789 |
| 673 |
2274 |
2473 |
2125 |
1669 |
1724 |
1928 |
2287 |
1541 |
| 689 |
2071 |
941 |
2575 |
1245 |
1570 |
1521 |
1394 |
1539 |
| 1924 |
1004 |
1415 |
1103 |
2353 |
1557 |
1568 |
979 |
1243 |
| 1185 |
1790 |
1939 |
2088 |
1550 |
854 |
916 |
2529 |
2384 |
| 447 |
349 |
1116 |
2056 |
1384 |
505 |
1492 |
547 |
1371 |
| 1170 |
242 |
2042 |
426 |
1044 |
523 |
2227 |
1328 |
1349 |
| 2560 |
1416 |
585 |
2372 |
1261 |
2340 |
2560 |
1867 |
1035 |
| 1112 |
1052 |
956 |
1073 |
1056 |
2308 |
1203 |
293 |
2122 |
| 1713 |
493 |
512 |
788 |
770 |
1210 |
1915 |
2148 |
1522 |
| 371 |
1304 |
966 |
1607 |
1926 |
426 |
1716 |
1741 |
302
|
The level of significance of the test is α = 0.05. Compute the relevant test statistic.
This is a(n) _______ (two-tail, upper-tail, lower-tail) test. The test statistic is TS = _______.
a) Lower tail test.|TS| =1.97
Reject H0: μ ≥ 1500. Conclude that the population mean is less than 1500.
b) Lower tail test.|TS| =1.97
Do not reject H0: μ ≥ 1500. Conclude that the population mean is not less than 1500.
c) Lower tail test.|TS| =1.48
Do not reject H0: μ ≥ 1500. Conclude that the population mean is not less than 1500.
d) Upper tail test.|TS| =1.48
Reject H0: μ ≥ 1500. Conclude that the population mean is no greater than 1500.