1) An SRS of 80 teachers found that the average time they have been teaching is 6.5 years with a standard deviation of 2.3 years. Assuming the distribution of years that teachers have been teaching is approximately Normal, construct a 95% t-interval to estimate the population mean of how long teachers have been teaching. 2.3 y co (A) 6.5 1.99 (B) 6.5 ± 1.99 (C) Cannot be determined because 6.5-3*2.3 is negative, so the distribution is not normal (D) Cannot be determined because we do not know the df to find t (E) Cannot be determined because we do not know the population standard deviation 2) You are going to conduct a one-sample t-test for a population mean using a 5% significance level. Which of the following statements would be correct? (A) If your population is not Normal, you should not carry out a significance test, regardless of the sample size. (B) If your sample data shows no outliers or strong skewness, you can carry out a significance test, as long as your sample size is greater than 30. (C) If your population standard deviation is known, you can carry out a significance test, regardless of the sample size. (D) If your sample size is at least 30, you can carry out a significance test, regardless of your population distribution shape. (E) If your sample size is less than 30, you cannot carry out a significance test, regardless of your population distribution shape. 3) You carry out a significance test and conclude that you can reject the null hypothesis in favor of the alternative at the 5% significance level. Which of the following statements is correct? (A) Ho can be rejected at the 1% significance level. (B) Ho can be accepted at the 1% significance level. (C) HA can be rejected at the 1% significance level. (D) There is insufficient evidence to reject Ho at the 1% significance level. (E) There is sufficient evidence to accept Ho at the 1% significance level.
An SRS of 80 teachers found that the average time they have been teaching is 6.5 years with a standard deviation of 2.3 years. Assuming the distribution of years that teachers have been teaching is approximately Normal, construct a 95% t-
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