Cigarette Smoking A researcher found that a cigarette smoker smokes on average 31 cigarettes a day. She feels that this average is too high. She selected a random sample of 8 smokers and found that the mean number of cigarettes they smoked per day was 28. The sample standarddeviation was 2.9. At =α0.01, is there enough evidence to support her claim? Assume that the population is approximately normally distributed. Use the critical value method and tables. (a)State the hypotheses and identify the claim. (b)Find the critical value. (c)Compute the test value (d)Make the decision. (e)Summarize the results.

Cigarette Smoking A researcher found that a cigarette smoker smokes on average 31 cigarettes a day. She feels that this average is too high. She selected a random sample of 8 smokers and found that the mean number of cigarettes they smoked per day was 28. The sample standarddeviation was 2.9. At =α0.01, is there enough evidence to support her claim? Assume that the population is approximately normally distributed. Use the critical value method and tables. (a)State the hypotheses and identify the claim. (b)Find the critical value. (c)Compute the test value (d)Make the decision. (e)Summarize the results.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

Cigarette Smoking A researcher found that a cigarette smoker smokes on average 31 cigarettes a day. She feels that this average is too high. She selected a random sample of 8 smokers and found that the mean number of cigarettes they smoked per day was 28. The sample standarddeviation was 2.9. At =α0.01, is there enough evidence to support her claim? Assume that the population is approximately normally distributed. Use the critical value method and tables.

(a)State the hypotheses and identify the claim.

(b)Find the critical value.

(c)Compute the test value

(d)Make the decision.

(e)Summarize the results.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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