Answered: Cigarette Smoking A researcher found…

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 30 cigarettes a day. She feels that this average is too low. She selected a random sample of 9 smokers and found that the mean number of cigarettes they smoked per day was 32. The sample standard deviation was 2.4 . At α=0.10, 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

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 greater than

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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