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.

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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 (A) 6.5 +1.99 23 (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 tº (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 H, at the 1% significance level. (E) There is sufficient evidence to accept Ho at the 1% significance level. 8) Textbooks are getting more expensive for undergraduate students. Your local community college wants to take an SRS of undergraduate students to find out how much money they spend on textbooks. The college wants to construct a 90% confidence interval with a margin of error of less than $5. Based on last year's data, they estimate the population standard deviation to be $45. What are the minimum number of students the college needs to sample in order to have this margin of error? (A) 210 (B) 220 (C) 230 (D) 240 mm (E) 250

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.
(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
00.
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 H, at the 1% significance level.
(E) There is sufficient evidence to accept Ho at the 1% significance level.
Transcribed Image Text: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. (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 00. 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 H, at the 1% significance level. (E) There is sufficient evidence to accept Ho at the 1% significance level.
8) Textbooks are getting more expensive for undergraduate students. Your local community college
wants to take an SRS of undergraduate students to find out how much money they spend on textbooks. The college
wants to construct a 90% confidence interval with a margin of error of less than $5. Based on last year's data, they
estimate the population standard deviation to be $45. What are the minimum number of students the college needs
to sample in order to have this margin of error?
(A) 210
(B) 220
(C) 230
(D) 240
(E) 250
Transcribed Image Text:8) Textbooks are getting more expensive for undergraduate students. Your local community college wants to take an SRS of undergraduate students to find out how much money they spend on textbooks. The college wants to construct a 90% confidence interval with a margin of error of less than $5. Based on last year's data, they estimate the population standard deviation to be $45. What are the minimum number of students the college needs to sample in order to have this margin of error? (A) 210 (B) 220 (C) 230 (D) 240 (E) 250
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