Fat contents (in percentage) for 10 randomly selected hot dogs were given in the

Question

Fat contents (in percentage) for 10 randomly selected hot dogs were given in the article "Sensory and Mechanical Assessment of the Quality of Frankfurters". Use the following data to construct a 98% confidence interval for the true mean fat percentage of hot dogs:
Note: you should carry at least 5 decimal precision for any intermediate calculations then round your answer as indicated in the problem

A) x =
    Note: round this answer to 1 decimal place precision

B) s =
    Note: round this answer to 1 decimal place precision

C) t-crit =
    Note: round this answer to 2 decimal place precision

D) Low: % to High: %
    Note: round these endpoints to 1 decimal place precision

Explanation / Answer

Confidence Interval
CI = x ± t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
CI = Confidence Interval
Mean(x)=22.37
Standard deviation( sd )=4.3548
Sample Size(n)=10
t crirt = 2.821
Confidence Interval = [ 22.37 ± t a/2 ( 4.3548/ Sqrt ( 10) ) ]
= [ 22.37 - 2.821 * (1.37711) , 22.37 + 2.821 * (1.37711) ]
= [ 18.48518,26.25482 ] ~ [ 18.5,26.3 ]

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.