Question

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 40 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.2 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.) State the distribution to use for the test. (Round your answers to four decimal places.) B.) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) C.) What is the p-value? (Round your answer to four decimal places.) D.) 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.) E.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your lower and upper bounds to two decimal places.)

Answer #1

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 39 smokers of
this generation was done to see if the mean starting age is at
least 19. The sample mean was 18.2 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...

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 35smokers of this
generation was done to see if the mean starting age is at least 19.
The sample mean was 18.2 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,...

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 37 smokers of
this generation was done to see if the mean starting age is at
least 19. The sample mean was 18.2 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...

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 44 smokers of
this generation was done to see if the mean starting age is at
least 19. The sample mean was 18.2 with a sample standard deviation
of 1.3. Do the data support the claim at the 5% level?
Construct a 95% confidence interval for the true mean. Sketch...

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 39 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?
1. State the distribution to use for the test. (Round...

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 44 smokers of
this generation was done to see if the mean starting age is at
least 19. The sample mean was 18.2 with a sample standard deviation
of 1.3. Do the data support the claim at the 5% level?
left is not 17.82 18.2 right is not 18.58...

From generation to generation, the mean age when smokers first
start to smoke varies. However, the standard deviation of that age
remains constant of around 2.1 years. A survey of 40 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 95% confidence
level?

The mean age when smokers first start is 13 years old with a
population standard deviation of 1.8 years. A researcher thinks
that smoking age has significantly changed since the invention of
ENDS—electronic nicotine delivery systems. A survey of smokers of
this generation was done to see if the mean age has changed. The
sample of 34 smokers found that their mean starting age was 12.2
years old. Do the data support the claim at the 10% significance
level?
What...

In an interesting study by a tobacco company, they found that
the mean age when smokers first start to smoke varies in each
generation. However, the standard deviation of that age remains
constant of around 1.9 years. A survey of 45 smokers of the current
generation was done to test if the mean age for starting to smoke
is at least 20. The sample mean was 19.5 with a sample standard
deviation of 1.5. Do the data support the claim...

The mean work week for engineers in a start-up company is believed
to be about 60 hours. A newly hired engineer hopes that it's
shorter. She asks 10 engineering friends in start-ups for the
lengths of their mean work weeks. Based on the results that follow,
should she count on the mean work week to be shorter than 60 hours?
Conduct a hypothesis test at the 5% level.
Data (length of average work week): 70; 50; 55; 65; 65; 55;...

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