Question

Use the Roll Verification Data 1) Create a Histogram for the Height data. Convert to feet only to do this.ex 5 feet 3inches is 5+3/12=5.25 2) Calculate the mean, median, standard deviation A Hypothesis test 3) Jed raises chickens. He says that the average chicken weight is 5.5 lbs. Test his claim. A simple random sample, looks like it's from a Normal distribution of Jed's chickens was collected with the following data in pounds: 3.4, 5.8, 6.0.4.2.5.7.7.1.6.3, 6.2.5.1,7.2 (you find the stats)

Answer 1

we have the converted data is

converted
5.833333
5.416667
5.25
5.583333
5.833333
5.166667
6
5.666667
5.333333
5.833333
5.333333
5.583333
5.2
5.833333
5.291667
5.566667
5.266667
5.266667
4.916667
5.916667
5.083333
5.083333
5.166667
4.916667
5.25
5.333333

Ans a ) the histogram for the converted data is

Histogram of converted 6 5 Frequency 2 1 0 4.95 5.10 5.25 5.70 5.85 6.00 5.40 5.55 converted

Ans 2 ) using minitab>stat>basic stat>display descriptive stat

we have

Descriptive Statistics: converted

Variable Mean StDev Median
converted 5.4202 0.3134 5.3333

mean = 5.4202

Standard deviaation = 0.3134

median = 5.3333

Ans 3 ) the null and alternative hypothesis is

Ho : u = 5.5

Ha:u ≠ 5.5 (two tailed )

using minitab>stat>basic stat>one sample t

we have

One-Sample T: data

Test of μ = 5.5 vs ≠ 5.5

Variable N Mean StDev SE Mean 95% CI T P
data 10 5.700 1.194 0.377 (4.846, 6.554) 0.53 0.609

the value of test stat t = 0.53

p value = 0.609

since p value is greater than 0.05 so we do not reject Ho and conclude that average chicken weight is 5.5