From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 41 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) A. Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. B. Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: reject the null hypothesisdo not reject the null hypothesis (iii) Reason for decision: Since α > p-value, we do not reject the null hypothesis.Since α > p-value, we reject the null hypothesis. Since α < p-value, we reject the null hypothesis.Since α < p-value, we do not reject the null hypothesis. (iv) Conclusion: There is sufficient evidence to conclude that the starting age for smoking in this generation is less than 19.There is not sufficient evidence to conclude that the starting age for smoking in this generation is less than 19.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 41 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level?

Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

A. Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

B. Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.

(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =

(ii) Decision:

reject the null hypothesisdo not reject the null hypothesis

(iii) Reason for decision:

Since α > p-value, we do not reject the null hypothesis.Since α > p-value, we reject the null hypothesis. Since α < p-value, we reject the null hypothesis.Since α < p-value, we do not reject the null hypothesis.

(iv) Conclusion:

There is sufficient evidence to conclude that the starting age for smoking in this generation is less than 19.There is not sufficient evidence to conclude that the starting age for smoking in this generation is less than 19.

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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