The length of time it takes for Neater Feet to sell a pair ofwalking boots has an unknown mean of π days and knownstandard deviation π = 3.12 days. We wish to create aconfidence interval for π. We randomly select 10 pairs ofwalking boots at Neater Feet stores and measure time to sale. Thesample mean was x = 17.12 days and the sample standarddeviation was s = 3.91 days.
a)What is the critical value for a 95% confidence intervalfor π? b) Create a 95% confidence interval for π. ( _____ , _____)
c) How long is the 95% confidence intervalfor π? d) How many observations would we need to guarantee that the 95%confidence interval above has a length of 2.0 or less? e) Create a 95% prediction interval for π using thisdata. ( _____ , _____ )
f) Assuming π is not known, create a 95.0% confidenceinterval for π using this data. ( _____ , _____ )
g. What is the length of the confidence interval for partf? h) Copy your R script for the above into the text box here.
The length of time it takes for Neater Feet to sell a pair of walking boots has an unknown mean of 𝜇 days and known stan
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