Question

In: Statistics and Probability

According to the Centers for Disease Control and Prevention (CDC), the mean weight of U.S. men...

According to the Centers for Disease Control and Prevention (CDC), the mean weight of U.S. men of age 30–39 years old is191.802 pounds. Using the provided sample data file, conduct a one-sample ?-z-test of a mean to test whether the mean weight of men of age 30–39 years old who smoke daily is lower than191.802.

Conduct the z-test at a significance level of α=0.05 to test the null hypothesis, H0:μ=191.802, against the alternative hypothesis, H1:μ<191.802, where ?μ represents the mean weight of U.S. men of age 30–39 who smoke daily. Assume that the population standard deviation of weight, σ, is 42.221 pounds.

The sample data provided contain weight results collected from a 2015 survey conducted by the National Center for Health Statistics for men of age 30–39 who smoke daily.

Click to download the data in your preferred format.

CrunchIt! CSV Excel JMP Mac-Text Minitab PC-Text R SPSS TI-Calc

Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place.

x¯ =

pounds

Compute the standard deviation, SD, of the sampling distribution of the mean. (Some people call this the standard error.) Give your answer with precision to at least two decimal places.

SD =

Next, determine the z-statistic for this hypothesis test. Provide your answer with precision to two decimal places. Avoid rounding until the final step.

z =

Using software, compute the P-value for the z-statistic. Give your answer precise to at least three decimal places. You may find software manuals helpful.

P-value =

If the test requires that the results be statistically significant at a level of α=0.05, fill in the blanks, and complete the sentences that explain the test decision and conclusion.

The decision is to

reject

the null hypothesis. There

is

enough evidence at a significance level of α=0.05 that the mean weight for U.S. men of age 30–39 who smoke daily is less than 191.802 pounds.

Expert Solution

Assumed data,
sample mean, x =191.3
number (n)=50 because not given in the data
Given that,
population mean(u)=191.802
standard deviation, σ =42.221
null, Ho: μ=191.802
alternate, H1: μ<191.802
level of significance, α = 0.05
from standard normal table,left tailed z α/2 =1.645
since our test is left-tailed
reject Ho, if zo < -1.645
we use test statistic (z) = x-u/(s.d/sqrt(n))
zo = 191.3-191.802/(42.221/sqrt(50)
zo = -0.084
| zo | = 0.084
critical value
the value of |z α| at los 5% is 1.645
we got |zo| =0.084 & | z α | = 1.645
make decision
hence value of |zo | < | z α | and here we do not reject Ho
p-value : left tail - ha : ( p < -0.084 ) = 0.466
hence value of p0.05 < 0.466, here we do not reject Ho
ANSWERS
---------------
null, Ho: μ=191.802
alternate, H1: μ<191.802
test statistic: -0.084
critical value: -1.645
decision: do not reject Ho
p-value: 0.466
we do not have enough evidence to support the claim that the mean weight of men of age 30–39 years old who smoke daily is lower than 191.802.

orchestra answered 2 years ago

According to the Centers for Disease Control and Prevention (CDC), obesity in the U.S. population increased...

According to the Centers for Disease Control and Prevention (CDC), obesity in the U.S. population increased from about 12% in 1991 to about 34% in 2006. The highest increase occurred in 18- to 29-year-olds. Although part of the reason is our increasingly sedentary lifestyle, the principal cause is our overconsumption of abundant processed food products, many of which are high in fat and sugar content. Why do you think fat tastes good to so many people, and is difficult to...

1) According to the Centers for Disease Control and Prevention (CDC), the mean total cholesterol level...

1) According to the Centers for Disease Control and Prevention (CDC), the mean total cholesterol level for persons 20 years of age and older in the United States from 2007–2010 was 197 mg/dL. a. What is the probability that a randomly selected adult from the population will have a total cholesterol level of less than 183 mg/dL? Use a standard deviation of 35 mg/dL and assume that the cholesterol levels for the population are normally distributed. b. What is the...

You are an administrator at the Centers for Disease Control and Prevention (CDC) in Atlanta, Georgia....

You are an administrator at the Centers for Disease Control and Prevention (CDC) in Atlanta, Georgia. You are informed that a new strain of the flu virus is quickly spreading across the country. It is potentially life-threatening for young children and the elderly. The CDC quickly begins producing a vaccine for the new strain but there is not going to be enough vaccine produced to distribute to everyone in need. You are asked to identify how to distribute the vaccine...

Through a published schedule and set of guidelines, the Centers for Disease Control and Prevention (CDC)...

Through a published schedule and set of guidelines, the Centers for Disease Control and Prevention (CDC) and public health officials recommend that every child receive certain vaccinations by age 6. What are the benefits of this recommendation to public health officials, to the community and to other children? Some parents and health care professionals question the CDC’s recommendations and decide not to vaccinate their children, while others, like Jennifer Margulis, choose to vaccinate their children along an alternative schedule. How...

If you were the director of the Centers for Disease Control and Prevention (CDC), what measures...

If you were the director of the Centers for Disease Control and Prevention (CDC), what measures would you implement to reduce the US vulnerability to pandemics in the future? Explain your answer; use evidence to support your answer.

Healthy Lifestyles The Centers for Disease Control and Prevention (CDC) in Atlanta, Georgia, is the government...

Healthy Lifestyles The Centers for Disease Control and Prevention (CDC) in Atlanta, Georgia, is the government agency responsible for disease-related issues in the United States. The CDC coordinates efforts to counteract outbreaks of diseases and funds a variety of medical and health research studies. The CDC also serves as a central clearinghouse for health-related data. The CDC conducts the annual Behavioral Risk Factor Surveillance Survey. The survey measures a whole series of lifestyle characteristics that relate to health and longevity,...

The Centers for Disease Control and Prevention (CDC) recommended against vaccinnating the whole population against the...

The Centers for Disease Control and Prevention (CDC) recommended against vaccinnating the whole population against the smallpox virus because the vaccination has undesirable, and sometimes fatal, side effects. Suppose that the accompanying table gives the data that are available about the effects of a smallpox vaccination program. Percent of population vaccinated Deaths Due to Small Pox Deaths due to vaccination side effects 0% 200 0 10% 180 4 20% 160 8 30% 140 12 40% 120 16 50% 100 20...

Use guidelines from the Centers for Disease Control and Prevention (CDC) to validate your information on...

Use guidelines from the Centers for Disease Control and Prevention (CDC) to validate your information on legal requirements in regard to reporting STDs. Present your findings on reportable diseases in the state of Florida and legal implications in failure to reporting.

Reducing Health Disparities In 2011, the Centers for Disease Control and Prevention (CDC) published the first...

Reducing Health Disparities In 2011, the Centers for Disease Control and Prevention (CDC) published the first CDC Health Disparities and Inequalities Report (CHDIR). This report examined health disparities in the United States associated with various characteristics, including race/ethnicity, sex, income, education, disability status, and geography. Among other recommendations, the 2011 CHDIR emphasized the need to address health disparities with a dual intervention strategy that focuses on populations at greatest need and improves the health of the general population by making...

The United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages...

The United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages 12–59 test seropositive for HPV‑16. Suppose that Tara, an infectious disease specialist, assays blood serum from a random sample of ?=1000 women in the United States aged 12–59. Apply the central limit theorem for the distribution of a sample proportion to find the probability that the proportion,p^, of women in Tara's sample who test positive for HPV‑16 is greater than 0.202 Express the result...