Hypothesis about the population mean

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Reference no: EM13871481

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.

Reference no: EM13871481

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