In replicate analyses, the carbohydrate content of a glycoprotein ( a protein with sugars attached to it) is found to be 12.6, 11.9, 13.0, 12.7, and 12.5 g of carbohydrate per 100 g of protein. Find the 90% confidence intervals for the carbohydrate content.

ankarskogC

ankarskogC

Answered question

2020-12-03

In replicate analyses, the carbohydrate content of a glycoprotein ( a protein with sugars attached to it) is found to be 12.6, 11.9, 13.0, 12.7, and 12.5 g of carbohydrate per 100 g of protein. Find the 90% confidence intervals for the carbohydrate content.

Answer & Explanation

grbavit

grbavit

Skilled2020-12-04Added 109 answers

Step 1 Data values are given population standard deviation is not known hence we use T Interval. Sample size (n)=5 Degrees of freedom(df): df=n1
=51
=4 Confidence level =0.90 Use T table or excel command =T.INV.2T (10.90,4) to get critical value Critical value (tc)=2.132

X(X12.54)212.60.003611.90.4096130.211612.70.025612.50.0016Total62.70.652

Sample mean: x=i=15ξn
=62.75
12.54 Sample standard deviation: s=i=15(xix)2n1
=i=15(xi12.54)251
=0.6524
=0.163
=0.403733 Step 3 =x±tcsn
=12.54±2.132×0.4037335
=12.54±2.132×0.180555
=12.54±0.3849
=(12.540.3849,12.54+0.3849)
=(12.1551,12.9249)

Step 4 Answer: 90% confidence interval is ( 12.16, 12.92 )

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?