Answered: A researcher found that a cigarette…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 12 smokers and found that the mean number of cigarettes they smoked per day was 29. The sample standard deviation was 2.7. At α=0.01, 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.

:H0 ▼(Choose one)

:H1 ▼(Choose one)

This hypothesis test is a ▼(Choose one) test.

(b)Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, seperate them with commas.

Critical value(s)=

(c)Compute the test value. Always round t score values to three decimal places.

(d)Make the decision.

▼(Choose one) the null hypothesis.

(e)Summarize the results.

There is ▼(Choose one) that the mean number of cigarettes smoked per day is less than 31.

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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