AP Statistics Chapter 10 Review: Confidence Intervals and Hypothesis Testing, Lecture notes of Statistics

AP Statistics. Name. Chapter 10 Review. Part I - Multiple Choice (Questions 1-10) - Circle the answer of your choice. 1. If the 90% confidence interval of the ...

Typology: Lecture notes

2021/2022

Uploaded on 08/05/2022

jacqueline_nel
jacqueline_nel 🇧🇪

4.4

(242)

3.2K documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
AP Statistics Name __________________________________________________________
Chapter 10 Review Part I - Multiple Choice (Questions 1-10) - Circle the answer of your choice.
1. If the 90% confidence interval of the mean of a population is given by
45 3.24
, which of the following is correct?
(a) There is a 90% probability that the true mean is in the interval.
(b) There is a 90% probability that the sample mean is in the interval.
(c) If 1,000 samples of the same size are taken from the population, then approximately 900 of them will contain the true mean.
(d) There is a 90% probability that a data value, chosen at random, will fall in the interval.
(e) None of the above.
2. Which of the following will reduce the width of a confidence interval?
I. Increasing the confidence level.
II. Increasing the sample size.
III. Decreasing the standard deviation.
(a) I only
(b) I and II only.
(c) II and III only.
(d) I, II, and III.
(e) None of the above.
3. Which of the following is true?
(a) A highly significant result indicates that the sample result never really happened.
(b) If the probability of sample data yielding a statistic as or more extreme than a given value is approximately 0, then we have a good
indication that bias must have been involved with the data collection.
(c) If the probability of sample data yielding a statistic as or more extreme than a given value is approximately 0, then we have a good
indication that the value of the parameter could be significantly different than what is stated.
(d) If the probability of sample data yielding a statistic as or more extreme than a given value is approximately 0, then we have a good
indication that whoever stated the expected value is lying.
(e) None of the above.
4. The P-value of a test of significance is the probability that:
(a) The decision resulting from the test is correct.
(b) 95% of the confidence intervals will contain the parameter of interest.
(c) The null hypothesis is true.
(d) The alternative hypothesis is true.
(e) None of the above.
5. The confidence that we feel about a 90% confidence interval comes from the fact that
(a) there is a 90% chance that the population parameter is contained in the confidence interval.
(b) there is a 90% chance that the sample statistic is contained in the confidence interval
(c) 90% of the confidence intervals constructed around a sample statistic will contain the population parameter
(d) the terms confidence and probability are interchangeable
(e) the concepts of confidence and probability are synonymous
pf3
pf4

Partial preview of the text

Download AP Statistics Chapter 10 Review: Confidence Intervals and Hypothesis Testing and more Lecture notes Statistics in PDF only on Docsity!

AP Statistics Name __________________________________________________________ Chapter 10 Review Part I - Multiple Choice (Questions 1-10) - Circle the answer of your choice.

  1. If the 90% confidence interval of the mean of a population is given by 45 3.24, which of the following is correct?

(a) There is a 90% probability that the true mean is in the interval. (b) There is a 90% probability that the sample mean is in the interval. (c) If 1,000 samples of the same size are taken from the population, then approximately 900 of them will contain the true mean. (d) There is a 90% probability that a data value, chosen at random, will fall in the interval. (e) None of the above.

  1. Which of the following will reduce the width of a confidence interval? I. Increasing the confidence level. II. Increasing the sample size. III. Decreasing the standard deviation.

(a) I only (b) I and II only. (c) II and III only. (d) I, II, and III. (e) None of the above.

  1. Which of the following is true?

(a) A highly significant result indicates that the sample result never really happened. (b) If the probability of sample data yielding a statistic as or more extreme than a given value is approximately 0, then we have a good indication that bias must have been involved with the data collection. (c) If the probability of sample data yielding a statistic as or more extreme than a given value is approximately 0, then we have a good indication that the value of the parameter could be significantly different than what is stated. (d) If the probability of sample data yielding a statistic as or more extreme than a given value is approximately 0, then we have a good indication that whoever stated the expected value is lying. (e) None of the above.

  1. The P-value of a test of significance is the probability that:

(a) The decision resulting from the test is correct. (b) 95% of the confidence intervals will contain the parameter of interest. (c) The null hypothesis is true. (d) The alternative hypothesis is true. (e) None of the above.

  1. The confidence that we feel about a 90% confidence interval comes from the fact that

(a) there is a 90% chance that the population parameter is contained in the confidence interval. (b) there is a 90% chance that the sample statistic is contained in the confidence interval (c) 90% of the confidence intervals constructed around a sample statistic will contain the population parameter (d) the terms confidence and probability are interchangeable (e) the concepts of confidence and probability are synonymous

  1. What sample size should be chosen to find the mean number of absences per month for school children to within .2at a 95% confidence level if it is know that the standard deviation is 1.1?

(a) 11 (b) 29 (c) 82 (d) 96 (e) 117

  1. What assumptions are necessary to validate a 95% confidence interval from a sample size 6 of the form:

1.96 1. 6 6

x    x ?

I. The sample must have been randomly drawn from the population. II. The population is approximately normal. III. The population standard deviation must be known.

(a) I only. (b) I and II only. (c) I and III only. (d) I, II, and III. (e) None of the above.

  1. In general, how does doubling the sample size change the confidence interval size?

(a) Doubles the interval size. (b) Halves the interval size.

(c) Multiplies the interval size by 2.

(d) Divides the interval size by 2.

(e) Cannot be determined without knowing the sample size.

  1. Under what conditions would it be meaningful to construct a confidence interval estimate when the data consists of the entire population?

(a) If the population size is small n  30 

(b) If the population size is large n  30 

(c) If a higher level of confidence is desired (d) If the population of truly random (e) Never

  1. A pharmaceutical company executive claims that a medication will produce a desired effect for a mean time of 58.4 minutes. A government researcher runs a hypothesis test of 250 patients and calculates a mean of 59.5. If the population standard deviation is known to be 7.6, in which of the following intervals is the P-value located?

(a) P <. (b) .01 < P <. (c) .025 < P <. (d) .05 < P <. (e) P >.

  1. A pharmaceutical manufacturer does a chemical analysis to check the potency of products. The standard release potency for cephalothin crystals is 910 (  8.2) and the manufacturer believes this claim may be too high. An assay of 16 lots gives the following potency data:

897 914 913 906 916 918 905 921 918 906 895 893 908 906 907 901

a. Test the manufacturer’s claim at the 0.01 level of significance.

μ = 910, sigma = 8.2 n = 16 x 907.75 =.

μ = the true standard release potency for cephalothin crystals.

Ho: μ = 910 Ha: μ < 910

Assumptions: SRS is assumed, not given. Normality of the sampling distribution is verified graphically. Sigma is known.

Calculations:

z

  ^ P ( z < -1.0976) = normalcdf (-1e99, -1.0976) =.

Conclusion: Since p > a, the results are not significant and we fail to reject Ho. There is not sufficient evidence to believe the true mean release potency for cephalothin crystals is less than 910.