In a sample of 30 girls the mean weight at birth was 3.27 kg with a...

In a sample of 30 girls the mean weight at birth was 3.27 kg with a standard deviation of 0.66 kg.
a) Write a 95% confidence interval to estimate the mean weight of all girls at birth.
b) Explain the meaning of this interval.

Expert Solution

Here, we want to compute the 95% Confidence Interval for the mean birth weight of girls and explain the meaning of it.

The detailed procedure to answer the given Questions is as given in the images below:-

a)

b)

This answers your question.

Hope it helps !!!

If you understood the answer, please rate Positively.

orchestra answered 2 years ago

Construct a 90% confidence interval of the mean birth weight of 195 boys with sample mean...

Construct a 90% confidence interval of the mean birth weight of 195 boys with sample mean =32.7 hg , and standard deviation =6.6 hg. Group of answer choices a) 1.645<mean<1.777 b) 31.923<mean<33.477 c) 32%<mean<33% d) 0.777<mean<1

In a sample of 35 koalas, the sample mean weight was 9.41 kg, with a standard...

In a sample of 35 koalas, the sample mean weight was 9.41 kg, with a standard deviation of 1.38 kg. a. What must be assumed before a t confidence interval to estimate the population mean? b. Find and interpret a 99% confidence interval using the koala data. You will have to use your calculator’s “TInterval” on the “stats” setting because JMP requires the individual weights, which are not available. c. If a future study aims to estimate the mean koala...

1. a random sample of the birth weight of 186 babies has a mean 0f 3103...

1. a random sample of the birth weight of 186 babies has a mean 0f 3103 g and a standard deviation of 696 g. construct a 90% confidence interval estimate of the mean birth weight of babies.

A sample of 49 sudden infant death syndrome (SIDS) cases had a mean birth weight of...

A sample of 49 sudden infant death syndrome (SIDS) cases had a mean birth weight of 2998 g. Based on other births in the county, we will assume σ = 800 g. Calculate the 95% confidence interval for the mean birth weight of SIDS cases in the county. Interpret your results.

Girls of a certain age in the nation have a mean weight of 85 with a...

Girls of a certain age in the nation have a mean weight of 85 with a standard deviation of 10.8 lb. A complaint is made that girls are underfed fed in a municipal children's home. As evidence, a sample of 25 girls of the given age is taken from the children's home with a mean weight of 89.41 lb. What can be concluded with α = 0.01? a) What is the appropriate test statistic? (choose one of the following) 1....

Assume that newborn girls have birth weights with a mean of 3021 grams and a standard...

Assume that newborn girls have birth weights with a mean of 3021 grams and a standard deviation of 694 grams. A random sample of 100 newborn girls is obtained and they have a mean birth weight of 2963 grams. What is the probability of randomly selecting another 100 newborn girls and getting a mean birth weight that is 2963 grams or lower?

The mean weight of males aged over 30 years in a certain population is 76 KG....

The mean weight of males aged over 30 years in a certain population is 76 KG. Recently there was some tendency among this population to practice exercises to reduce weight. A random sample of size 40 is selected and it is found that sample mean and standard deviation are 74 and 8 respectively. Do the data provide sufficient evidence to conclude that the mean weight for this population has reduced. Use 5% significance level. please can someone help

1. A sample of 30 Valencia oranges showed a mean weight of 5.5 ounces with a...

1. A sample of 30 Valencia oranges showed a mean weight of 5.5 ounces with a standard deviation of 0.5 ounces. What is the margin of error at 95% confidence? 2. A sample of 30 Valencia oranges showed a mean weight of 5.5 ounces with a standard deviation of 0.5 ounces. What is the 95% confidence interval? 3. A sample of 30 Valencia oranges showed a mean weight of 5.5 ounces with a standard deviation of 0.5 ounces. Do Valencia...

Listed below are weights (hectograms or hg) of randomly selected girls at birth. Use the sample...

Listed below are weights (hectograms or hg) of randomly selected girls at birth. Use the sample data to construct a 95% confidence interval for the mean weight of girls. 33 28 33 37 31 32 31 28 43 28 33 26 30 31 28 Address the following questions: What is alpha What is Zα/2 or tα/2 Which formula did you use and what is the Confidence Interval?

A 1.71 kg ball and a 3.27 kg ball are connected by a 1.76 m long...

A 1.71 kg ball and a 3.27 kg ball are connected by a 1.76 m long rigid, massless rod. The rod is rotating clockwise about its center of mass at 24 rpm. What torque will bring the balls to a halt in 10.06 s? (Give an absolute value of torque.)

Question