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Suppose a technician claims that hermonthly repairsare less than 50 units, on average. Several of hercoworkers do not believe her, so the technician decides to

Suppose a technician claims that hermonthly repairsare less than 50 units, on average. Several of hercoworkers do not believe her, so the technician decides to do a hypothesis test, at a 10% significance level, to persuade them. Sherecords data from16 previous months and works through the testing procedure:

  • H0: =50; Ha: <50
  • x=41
  • =6
  • =0.1 (significance level)
  • The test statistic isz0=x0n=4150616=6
  • The critical value is z0.1=1.28.

Conclude whether to reject or not reject H0, and interpret the results.

Select the correct answer below:

  1. Reject H0. At the 10% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis.
  2. Reject H0. At the 10% significance level, the data provide sufficient evidence to conclude that the meanmonthly repairsisless than 50 units.
  3. Do not reject H0. At the 10% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis.
  4. Do not reject H0. At the 10% significance level, the data provide sufficient evidence to conclude that the mean smonthly repairsisless than 50 units.

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