Question

In: Math

The distribution of birthweight of singletons in city of Tianjin, China is approximately normal with mean...

The distribution of birthweight of singletons in city of Tianjin, China is approximately normal with mean m=3,445 grams and standard deviation = 409 grams [2]. An investigator plans to conduct a study to determine if birthweight for singletons whose mothers were with gestational diabetes mellitus (GDM) have the same mean. Based on literature search, the true mean birthweight for infants whose mothers with GDM is estimated 3,800 grams (± 250 grams). The investigator wants 90% power to detect the differences. A two-tails test conducted at the 0.05 level of significance will be used. What sample size is needed for this study? if the power is changed to 80%, what sample size is then needed?

Solutions

Expert Solution


Related Solutions

6. The distribution of scores on the SAT is approximately normal with a mean of 500...
6. The distribution of scores on the SAT is approximately normal with a mean of 500 and a standard deviation of 100. For the population of students who have taken the SAT…           A. What percentage have SAT scores greater than 550? B. What is the minimum SAT score needed to be in the highest 10% of the population? C. If the state college only accepts students from the top 60% of the SAT distribution, what is the minimum SAT...
The distribution of cholesterol levels in a boy is approximately normal with a mean of 170...
The distribution of cholesterol levels in a boy is approximately normal with a mean of 170 and a standard deviation of 30. Levels above 200 require attention. What is the probability of a boy with a cholesterol between 160 and 205?
The distribution of weights of United States pennies is approximately normal with a mean of 2.5...
The distribution of weights of United States pennies is approximately normal with a mean of 2.5 grams and a standard deviation of 0.03 grams. (a) What is the probability that a randomly chosen penny weighs less than 2.4 grams? (b) Describe the sampling distribution of the mean weight of 10 randomly chosen pennies. (c) What is the probability that the mean weight of 10 pennies is less than 2.4 grams? (d) Could you estimate the probabilities from (a) and (c)...
Given an approximately normal distribution with a mean of 159 and a standard deviation of 17,...
Given an approximately normal distribution with a mean of 159 and a standard deviation of 17, a) Draw a normal curve and label 1, 2, and 3 standard deviations on both sides on the mean. b) What percent of values are within the interval (142, 176)? c) What percent of values are within the interval (125, 193)? d) What interval contains 99.7% of all values? e) What percent of values are above 176? f) What percent of values are below...
4. Given an approximately normal distribution with a mean of 175 and a standard deviation of...
4. Given an approximately normal distribution with a mean of 175 and a standard deviation of 37, a) Draw a normal curve and label 1, 2, and 3 standard deviations on both sides on the mean. b) What percent of values are within the interval (138, 212)? c) What percent of values are within the interval (101, 249)? d) What percent of values are within the interval (64, 286)? e) What percent of values outside the interval (138, 212)? f)...
The heights of women follow an approximately normal distribution with a mean of 65 inches and...
The heights of women follow an approximately normal distribution with a mean of 65 inches and a standard deviation of 3.5 inches. Use this information and a z-table to answer the following questions. A. Bianca is 60 inches tall. Find the z-score for Bianca's height. Round your z-score to 2 decimal places. B. Find the proportion of the population Bianca is taller than. Round your proportion to 4 decimal places. C. What proportion of women are between 61.5 inches and...
The distribution of heights of adult men in the U.S. is approximately normal with mean 69...
The distribution of heights of adult men in the U.S. is approximately normal with mean 69 inches and standard deviation 2.5 inches. Use what you know about the EMPIRICAL RULE to answer the following. a)Approximately what percent of men are taller than 69 inches? b)Approximately what percent of men are between 64 and 66.5 inches?
Given an approximately normal distribution with a mean of 175 and a standard deviation of 37....
Given an approximately normal distribution with a mean of 175 and a standard deviation of 37. (a) What percent of values outside the interval (138, 212)? (b) What percent of values are outside the interval (101, 249)? (c) What percent of values are outside the interval (64, 286)?
The amounts of electricity bills for all households in a particular city have approximately normal distribution...
The amounts of electricity bills for all households in a particular city have approximately normal distribution with a mean of $140 and a standard deviation of $30. A researcher took random samples of 25 electricity bills for a certain study. a. Based on this information, what is the expected value of the mean of the sampling distribution of mean? b. What is the standard error of the sampling distribution of mean? c. If his one sample of 25 bills has...
At-term newborns in Canada vary in weight according to, approximately, a Normal distribution, with a mean...
At-term newborns in Canada vary in weight according to, approximately, a Normal distribution, with a mean of 3500 grams and standard deviation of 500 grams (a) Heavy birth weight (HBW) babies are those weighing over 4500 grams. Approxi- mately how many at-term newborns among the next 10000 will be HBW babies? (b) Low birth weight (LBW) babies are those weighing less than 2500 grams. Ap- proximately how many at-term newborns among the next 10000 will be LBW babies? (c) Approximately...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT