SAT College

Serum cholesterol levels of 100 hypertensive patients were recorded. Mean cholesterol level was 190 mg/d1. The data was symmetrically distributed around the mean. Roughly 68% of the patients had serum cholesterol level between 175 mg/dl and 205 mg/dl. a. Calculate the standard error b. What will be the range of 95% confidence interval?

Answers

Answer 1

The standard error is 1.5.

The range of 95% confidence interval is 160 mg/dL and 220 mg/dL

What is the standard error of the distribution?

The standard error of the distribution is calculated as follows:

Standard error = standard deviation/√N

where N is the number of participants = 100

From the empirical rule of a normal or symmetrical distribution;

68% of the data lies within one standard deviation95% percent within two standard deviations, and99.7% within three standard deviations from the mean.

Therefore,  175 mg/dl and 205 mg/dl lie one standard deviation from the mean.

One standard deviation = 175 - 190 or 205 - 190 = ±15

Standard deviation = 15

a. Solving for the standard error using the equation above;

Standard error = 15/√100

Standard error = 1.5

b. The range of 95% confidence interval is two standard deviations away from the mean.

Range of values two standard deviations from the mean = 190 - (2*15) and 190 + (2 * 15)

Range of values two standard deviations from the mean = 160 mg/dL and 220 mg/dL

Therefore, the range of 95% confidence interval is 160 mg/dL and 220 mg/dL

In conclusion, the standard error is calculated from the standard deviation and the sample size.

Learn more about standard error at: https://brainly.com/question/14467769

#SPJ1

Related Questions

Other Questions
Ayda is writing about a recent trip. which word choice would best create the effect of excitement? the overlook on the mountain created views. where may food worker eat durning breakes What is the value of x to the nearest tenth? The figure is not drawn to scale The sum of three numbers is 100. The second number is 2 times the third. The third number is 8 less than the first. What are the numbers? The examination of the physical and chemical properties of urine to determine the presence of abnormal elements is known as? Kayla wrote the following sentence but forgot to insert a colon.There is one actor who is better than all the rest Tom Hanks.Which sentence correctly places the colon for Kayla?There is one actor who is better than all the rest: Tom Hanks.O There is one actor who is better: than all the rest Tom Hanks.There is one actor: who is better than all the rest Tom Hanks.There is one actor who is: better than all the rest Tom Hanks.You must check the box below prior to submitting your exam! Where do you pay a bill by credit card when the bill was not entered through the enter bills window? What assumption lay at the foundation of the american progressive agenda in the early twentieth century? A family leaves russia and takes up residence in the united states, where they gradually lose russian cultural traditions. doing so, these people have modified their? A certain cellular phone plan charges $31.00 per month plus $0.14 for each minute of usage. The monthly charge is given by the formula monthlycharge=0.14x+31, where x represents the number of minutes of usage per month. What is the charge for a month with 340 minutes of usage? Write your answer to two decimal places as money is traditionally written. who is chief Seattle if a population overshoots its ___ it may have a population crash The odds of rolling a die and getting an even number is 50%. Write out the success set and the sample set to use the definition of probability to show that this is true. What would you predict about the demand elasticities for these two types of consumers? _____ are the cells of the innate immune system that digest cellular debris and pathogens. Which of the graphs below shows the solution set of -7 < x What is the key to carbohydrate loading before an athletic event, such as a marathon?' Sheri got her sons standardized achievement scores back. one of the things she noted was that her son achieved a national percentile ranking of 89 in math. this score represents _____ Scenario 1: Cameron works at a local grocery store after school. He is paid $8 for each hour he works.Scenario 2: At a local bakery, one box of donuts costs $5. Two boxes of donuts cost $10.Consider the two scenarios given above. Can you write an equation to represent each situation? What would the graphs of these equations look like? Can you think of a situation that would result in a similar equation? What are the elements to Madonna, Saint Thomas Aquinas, and Saint Paul, Bernardo Daddi, about 1330