Select all the False statements: | Increasing the chance of making Type I error will reduce the chance of making Type Il error. The probability of making a Type Il error goes up as the sample size goes up. A hypothesis that was rejected at the 1% level of significance would not be rejected at the 5% level of significance. | It is impossible to make both Type I and Type IlI error on the same problem at the same time.

A medical researcher is working on a new treatment for a certain type of cancer. Theaverage survival time after diagnosis on the standard treatment is two years. In an earlytrial, she tries the new treatment on three subjects who have an average survival timeafter diagnosis of six years. Although the survival time has tripled, the results are notstatistically significant even at the 0.10 significance level. The explanation isA) the placebo effect is present, which limits statistical significance.B) the sample size is small.C) that although the survival time has doubled, in reality the actual increase is reallytwo years.D) the calculation was in error. The researchers forgot to include the sample size.

Suppose in one season, one baseball team averaged 20 run per game ( team 1), and team 2 averaged 10 runs .   Assume each team had 10 hitters (n=10 for both).  Assume that we don’t know the population standard deviations on each teams hits, but assume the sample standard deviations are 5 for each team.  Test whether this difference is significant at the 95% confidence level, i.e., it is rarely likely to occur by chance if one team isn’t really better than the other.  Use this information to answer questions 8 -12 below (Hint: Solve like “Are Men and Women Equal Talkers” Problems) The appropriate test statistic for testing whether the difference between these two means is unlikely to have happened by chance is the   z-statistic b .t-statistic chi-square statistic F-statistic   The value of the test statistic is (assume population standard deviations are unknown, and not equal).   14.14 .401 .600 4.46     At the 95% confidence level, can we say this is a common difference in…

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