List below are the speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, CA. Use the sample data to construct a 99% confidence interval estimate of the population standard deviation: speeds 62, 58, 58, 56, 60, 53, 58

The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485

Step-by-step explanation:

Confidence interval of standard deviation is given as follows;

s =

Where:

= Sample mean

s = Sample standard deviation

n = Sample size = 7

χ = Chi squared value at the given confidence level

= ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857

The sample standard deviation s = = 2.854

The test statistic, derived through computation, = ±3.707

Which gives;

1.7047 < σ < 7.485

The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.