A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows:                                         105.6                                  90.9                                  91.2                                  96.9                                  96.5                                  91.3                                       100.1                                 105.5                                  99.6                                 107.7                                 103.3                                  92.4   Does this data suggest that the population mean reading under these conditions differ from 100?   State the null and alternative hypotheses.   Calculate, correct to 2 decimal places, the sample mean, x ; and   the sample standard deviation, s.   Evaluate the appropriate test statistic.   Test these hypotheses at 05 level of significance.

1. A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows:

                                      105.6                                  90.9                                  91.2                                  96.9                                  96.5                                  91.3

                                      100.1                                 105.5                                  99.6                                 107.7                                 103.3                                  92.4

Does this data suggest that the population mean reading under these conditions differ from 100?

• State the null and alternative hypotheses.

• Calculate, correct to 2 decimal places,
  • the sample mean, x ; and

• the sample standard deviation, s.

• Evaluate the appropriate test statistic.

• Test these hypotheses at 05 level of significance.