Can you please help me these questions?

1. In constructing a confidence interval for the population mean using thet-distribution, we often need the degrees of freedom (df), confidence level, and the critical value.

Use the Studentt-distribution to determine the missing values in the table below.

Report the positivetcritical value accurate to 3 decimal places.

Sample size	Degrees of freedom	Confidence level	Critical value (t)
	17	%	2.898
28		%	1.314
	9	95%
16		90%

2. Ifn=,x=47, ands=3, construct a confidence interval at a80%confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place. _______ << _______

3.. The table below contains the birth weights in grams of 26 African American babies born at BayState Medical Center in Springfield, Massachusetts in 1986. Compute a 95% confidence interval for birth weight. Data

Weight

2502

2787

2916

2962

2940

2951

2935

3019

3036

3349

3389

3430

3402

3773

3857

1147

1704

1942

2105

2180

2311

2367

2416

2371

2454

2496

1. Find the point estimate for the birth weights. Round your answer to 2 decimal places.
2. Determine the value oftc. Round your answer to 5 decimal places.
3. Find the margin of error for the confidence interval. Round your answer to 1 decimal place.
4. Construct the confidence interval for birth weights. Enter your answer as an open interval of the form (a,b) and round to the nearest integer.

________.

5. Babies weighing less than 2500 grams are considered to be of low birth weight. Can you conclude that the average birth weight is greater than 2500 grams?

a) No conclusions can be drawn since the confidence interval contains25002500.

b)Yes, the entire confidence is above25002500.

c)No, the entire confidence interval is below25002500.