According to the National Health Statistics Reports, a sample of 33 men aged 20–29 years had...

According to the National Health Statistics Reports, a sample of 33 men aged 20–29 years had a mean waist size of 36.9 inches with a sample standard deviation of 8.8 inches. What is the 95% confidence interval for the mean waist size?

Expert Solution

Solution :

Given that,

t /2,df = 2.037

Margin of error = E = t/2,df * (s / $\sqrt$ n)

= 2.037 * (8.8 / $\sqrt$ 33)

Margin of error = E = 3.1

The 95% confidence interval estimate of the population mean is,

- E < < + E

36.9 - 3.1 < < 36.9 + 3.1

33.8 < < 40

(33.8 , 40)

orchestra answered 3 years ago

The National Health Statistics Reports described a study in which a sample of 33 one-year-old baby...

The National Health Statistics Reports described a study in which a sample of 33 one-year-old baby boys were weighed. Their mean weight was 25.4 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the =α0.05 level of significance and the P-value method with the TI-84 Plus calculator. 1) State the appropriate null and alternate hypotheses....

6. In a survey of men in the U.S. (aged 20 to 29), the mean height...

6. In a survey of men in the U.S. (aged 20 to 29), the mean height is 68.7 inches with a standard deviation of 3.1 inches. Assume this height data is normally distributed. a. What percentage of these men are taller than 72 inches? b. Find the 45th percentile. Interpret this value in a sentence. c. How tall are the middle 95% of men?

According the National Center for Health Statistics, the distribution of serum cholesterol levels for 20- to...

According the National Center for Health Statistics, the distribution of serum cholesterol levels for 20- to 74-year-old males living in the United States has mean 211 mg/dl, and a standard deviation of 46 mg/dl. a. We are planning to collect a sample of 25 individuals and measure their cholesterol levels. What is the probability that our sample average will be above 230? b. Which numbers are 1.96 standard errors away rom the expected value of the sampling distributions(i.e. 95% of...

According to the National Health Statistics Reports, the standard deviation of the weights of all one-year-old...

According to the National Health Statistics Reports, the standard deviation of the weights of all one-year-old baby boys born in the U.S. is 5.3 pounds. A random sample of 360 one-year-old baby boys born in the U.S. had a mean weight of 25.5 pounds. a) Construct a 90% confidence interval for the mean weight of all one-year-old baby boys in the U.S. Write a sentence that interprets this interval. b) Should this confidence interval be used to estimate the mean...

statistics In a survey of a group of men, the heights in the 20-29 age group...

statistics In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.1 inches and a standard deviation of 3.0 inches. A study participant is randomly selected.b) Find the probability that a study participant has a height that is between 65 and 72 inches.

(9). The National Health Statistics Reports dated Oct. 22, 2008, stated that for a sample size...

(9). The National Health Statistics Reports dated Oct. 22, 2008, stated that for a sample size of 277 18-year-old American males, the sample mean waist circumference was 86.3 cm. A somewhat complicated method was used to estimate various population percentiles, resulting in the following values. 5th 10th 25th 50th 75th 90th 95th 69.6 70.9 75.2 81.3 95.4 107.1 116.4 (a) Is it plausible that the waist size distribution is at least approximately normal? Explain your reasoning. Since the mean and median...

According to a Statistics Canada study from 2008: about 29% of women aged 18 to 24...

According to a Statistics Canada study from 2008: about 29% of women aged 18 to 24 engage in heavy drinking. (It is 47% for males.) The standard definition of heavy drinking is consuming 5 or more drinks on one occasion, 12 or more times over the past year. Assuming this to be true, if we choose a woman in this age group at random there is a probability of 0.29 of getting a heavy drinker. We can use software to...

According to Health Canada statistics more than half of COVID-19 cases among Canadians aged 20-59 are...

According to Health Canada statistics more than half of COVID-19 cases among Canadians aged 20-59 are women. Answer the following: (a) Provide some details of gendered division of COVID-19 cases. (b) Describe how the gendered division of COVID-19 cases relates to industrial and occupation segregation in Canada (providing specific examples and evidence). (c) Serious illness due to COVID-19 could lead to large interruptions in a person's career. Describe the impact of this interruption on future earnings. Include a discussion of...

According to the Australian Bureau of Statistics, 70% of all Australian men aged 18 and over are overweight or obese.

According to the Australian Bureau of Statistics, 70% of all Australian men aged 18 and over are overweight or obese. A student takes a random sample of 20 men aged 18 years and over. A particular variable of interest is the ‘number of men aged 18 and over who are overweight or obese’. Based on the above information answer the following questions: (a) What is an appropriate model to represent the variable of interest? Write down the parameters of the...

Data obtained from the National Center for Health Statistics show that men between the ages of...

Data obtained from the National Center for Health Statistics show that men between the ages of 20 and 29 have a mean height of 69.3 inches, with a standard deviation of 2.9 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.9 inches. The heights (in inches) of 20 randomly selected players are given below. 72 74 71 72 76 70 77 75 72 72 77 72 75 70 73 73...

Question