Julia Deutsch _ HW_ Week 4

pdf

School

New York University *

*We aren’t endorsed by this school

Course

1305

Subject

Statistics

Date

Jan 9, 2024

Type

pdf

Pages

Uploaded by ProfessorTeam17161

Julia Deutsch HW: Week 4 STATISTICS AND DATA ANALYSIS HOMEWORK EXERCISES PETER LAKNER 5. Bluefish purchased at the Lime Beach Fishing Terminal produce a filet weight which has a mean of 4.5 pounds with a standard deviation of 0.8 pound. If a restaurant manager purchases 50 such fish, then what is the probability that she will have at least 220 pounds of filets? Sample space = 50 fish Mean fish weight = 4.5lbs Sd = 0.8lbs FIND: P(X ≥ 220lbs of fish) P( Σ Xi ≥ 220 ) = P (( Σx - nμ / √n 𝜎 ) ≥ (220 - 50 - 4.5) / (√50 x 0.8) = P(Z ≥ -.88) Calculate P( Σ Xi ≥ 220 ) in R IN R: > 1-pnorm(-0.88) [1] 0.8105703 The probability that 50 fish will have at least 220 pounds of filets is 0.8106 6. A company is interested in estimating µ, the mean number of days of sick leave during the last year taken by all its employees. They select a random sample of 100 employees and note the number of sick days taken by each employee in the sample. The following sample statistics are computed: ¯x = 12.2 days, s = 3 days. Find a 95% confidence interval for µ X ̄ = 12.2 s = 3 n = 100 Confidence level = .95 Df (n-1) = 100-1= 99 a =1-0.95=0.05 a/2 = 0.05/2 = 0.025 t(a/2) = SEE R CODE IN R:

> qt(0.975,99) [1] 1.984217 Margin of error = 1.984217 95% confidence interval of the mean is, X ̄ -E < μ < X ̄ +E 12.2 - 1.984217 μ < 12.2 + 1.984217 10.216 < μ < 14.184 Answer: (10.216, 14.184)

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

Julia Deutsch _ HW_ Week 4

Related Documents