Best estimate for the unknown standard deviation


Complete the mcq:

Q1. If σ is unknown when completing a hypothesis test about the population mean, then the best estimate for the unknown standard deviation is s. _____ T/F

Q2. The chi-square distribution is used for inferences about the population mean μ when the standard deviation σ is unknown. ____ T/F

Q3. The t-distribution is used for all inferences about a population's variance. ___ T/F

Q4. When the means of two unrelated samples are used to compare two populations, we are dealing with two dependent means ___ T/F

Q5. Pretest versus post-test (before versus after) studies are usually independent samples. ____ T/F

Q6. The number of degrees of freedom for the critical value of t is equal to the smaller of n1 -1 or n2 -1 when making inferences about the difference between two independent means for the case when the degrees of freedom are estimated. ___ T/F

Q7. The F distribution is a symmetric distribution. ____ T/F

Q8. Which of the following would be the correct null hypotheses for testing the claim that the proportion of make students (M) who smoke at a particular college is greater than the proportion of female students (F) who smoke?

A. H0: pM ≥ pF
B. H0: pM ≤ pF
C. H0: pM > pF
D. H0: pM < pF

Q9. Which of the following would be the correct hypotheses for testing the claim that the mean waiting time to be served at a large post office is at least 6.5 minutes?

A. H0: μ ≥ 6.5 and Ha: μ< 6.5
B. H0: μ= 6.5 and Ha: μ ≠6.5
C. H0: μ ≤ 6.5 vs. Ha: μ > 6.5
D. H0: μ > 6.5 vs. Ha: μ ≥6.5

Q10. The mean age of 25 randomly selected college seniors was found to be 23.5 years, and the standard deviation of all college seniors was 1.3 years. Which of the following is the correct symbol for 1.3 years?

A. μ B. s C. σ D. X‾

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Basic Statistics: Best estimate for the unknown standard deviation
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