# Mean birthweight isstudied because low birthweight is an indicator of infantmortality. A study of...

Mean birthweight is studied because low birthweight is an indicator of infant mortality. A study of babies in Norway published in the International Journal of Epidemiology shows that birthweight of full-term babies (37 weeks or more of gestation) are very close to normally distributed with a mean of 3600 g and a standard deviation of 600 g.

Suppose that Melanie is a researcher who wishes to estimate the mean birthweight of full-term babies in her hospital. What is the minimum number of babies should she sample if she wishes to be at least 99% confident that the mean birthweight of the sample is within 150 grams of the the mean birthweight of all babies? Assume that the distribution of birthweights at her hospital is normal with a standard deviation of 600 g.

n=((z*σ)/m)^2

• n = sample size

• z = t-distributions table value

• σ = Standard deviation

• m = margin of error

n = ( (1.96*600)/100))^2

n = (1176/100)^2

n = (11.76)^2

n = 138.29 --> Ceiling Function (Round to Highest whole integer value)

n = 139

source: completed question and verified correct

The following information is provided,
Significance Level, α = 0.01, Margin or Error, E = 150, σ = 600

The critical value for significance level, α = 0.01 is 2.58.

The following formula is used to compute the minimum sample size required to estimate the population mean μ within the required margin of error:
n >= (zc *σ/E)^2
n = (2.58 * 600/150)^2
n = 106.5

Therefore, the sample size needed to satisfy the condition n >= 106.5 and it must be an integer number, we conclude that the minimum required sample size is n = 107
Ans : Sample size, n = 107

#### Earn Coin

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### Suppose that we want to test the hypothesis that mothers with low socioeconomic status (SES) deliver babies whose bir...

Suppose that we want to test the hypothesis that mothers with low socioeconomic status (SES) deliver babies whose birthweights are different than "normal". To test this hypothesis, a list of birthweights from 87 consecutive, full-term, live-born deliveries from the maternity ward of a hospital in a low-SES area is obtained. The mean birghweight is found to be 115 oz with a sample standard deviation of 25 oz. Suppose that we know from nationwide surveys based on millions of deliveries that...

• ### A scientist has read that the mean birth weight of babies bom at full term is...

A scientist has read that the mean birth weight of babies bom at full term is 75 pounds. The scientist, believing that the mean birth weight of babies bornet full term is less than this value, plans to perform a statistical test. She selects a random sample of 125 bath weights of babies bom at full term. Suppose that the population of birth weights of babies bom at full term has a standard deviation of 16 pounds and that the...

• ### Statistics Probability Problem - Need help by Friday, November 18th before 9pm PST

Birth weights of babies born to full-term pregnancies follow roughly a Normal distribution. At Meadowbrook Hospital, the mean weight of babies born to full-termpregnancies is 7 lbs with a standard deviation of 14 oz (1lb = 16 oz).Rachel is one of Dr. Watts' patients. Rachel had an ultrasound three weeks ago and the doctors established that the baby already weighed 7lbs at that point. She isabout to deliver her baby (full term). What is the probability that the baby will...

• ### Dean Halverson recently read that full-time college students study 20 hours each week. She decides to...

Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of less than 20 hours each week. A random sample of 32 students were asked to keep a diary of their activities over a period of several weeks. It was found that he average number of hours that the 32 students studied each week was 19.1 hours....

• ### 191 Math 134-5, 9, 10, PS 16 Estimating a population Mean Total: 30 Points (14:16) Name:...

191 Math 134-5, 9, 10, PS 16 Estimating a population Mean Total: 30 Points (14:16) Name: I CELLO S 1. Blood Alcohol Concentration: As per the National Highway Traffic Safety Administration, out of a random sample of 51 fatal crashes in 2013 in which the driver had a positive blood alcohol concentration (BAC), the mean BAC recorded was 0.167 gram per deciliter (g/dl) with a standard deviation of 0.010 g/dl. Determine a 90% confidence interval for the mean BAC in...

• ### Background: Between the years of 1997 and 2003, the World Health Organization collected data on head...

Background: Between the years of 1997 and 2003, the World Health Organization collected data on head circumference, arm circumference, and other body measurements for 8440 children from Brazil, Ghana, India, Norway, Oman and the USA. All of the children were healthy and breastfed by mothers who did not smoke. Children in the sample lived in socioeconomic conditions favorable to normal physical growth. Variables such as parental education level and income level were used to exclude children whose growth was “environmentally...

• ### A scientist has read that the mean birth weight, H, of bables bom at full term...

A scientist has read that the mean birth weight, H, of bables bom at full term is 7.3 pounds. The scientist, belleving that he is different from this value, plans to perform a statistical test. She selects a random sample of birth weights of babies bom at full term and finds the mean of the sample to be 7.6 pounds and the standard deviation to be 1.5 pounds. Based on this information, answer the questions below. What are the nut...

• ### 10. The Beck & Watson article is a Group of answer choices quantitative study qualitative study...

10. The Beck & Watson article is a Group of answer choices quantitative study qualitative study 11. Beck & Watson examined participants' experiences and perceptions using what type of research design? Group of answer choices particpant obersvation phenomenology 12. Select the participants in the Beck & Watson study Group of answer choices Caucasian women with 2-4 children Caucasian pregnant women 13. In the Beck & Watson study, data was collected via a(n) Group of answer choices internet study focus group...

• ### 14. Select the number of participants in the Beck & Watson study Group of answer choices...

14. Select the number of participants in the Beck & Watson study Group of answer choices 8 13 22 35 15. Beck & Watson determined their final sample size via Group of answer choices coding saturation triangulation ethnography 16.Through their study, Beck & Watson determined Group of answer choices after a traumatic birth, subsequent births have no troubling effects after a traumatic birth, subsequent births brought fear, terror, anxiety, and dread Subsequent Childbirth After a Previous Traumatic Birth Beck, Cheryl...

• ### What kind of instruments were used in the study? Did it clearly link to the research...

What kind of instruments were used in the study? Did it clearly link to the research question? (One paragraph minimum) Page Organlzation of Hospital Nursing and 30-day Readmissions In Medicare Patlents Undergoing Surgery Chenjuan Ma, PhD National Database of Nursing Quality Indicators, University of Kansas School of Nursing 3901 Rainbow Bvd, M/S 3060 Kansas City, KS 66160, USA Matthew D McHugh, PhD, and Center for Heath Outcomes and Palcy Research University of Pennsyivania School of Nursing 418 Cune Bivd., Fagin...