Question

A random sample of the number of farms (in thousands) in various states follows. Estimate the mean number of farms per state with confidence. Assume α=0.05. Round intermediate and final answers to one decimal place. Assume the population is normally distributed.

a) 12.4
b) 14.2
c) 15.8
d) 18.3

Answer 1

To estimate the mean number of farms per state with confidence, you need the sample mean, population standard deviation, and sample size.

Step-by-step explanation:

To estimate the mean number of farms per state with confidence, we can use the formula:

Confidence Interval = X ± (Z * (σ / sqrt(n)))

Where:

• X is the sample mean
• Z is the z-score corresponding to the desired confidence level
• σ is the population standard deviation
• n is the sample size

In this case, we are given the sample mean (X = 12.4) and we need to estimate the mean number of farms per state. Since the population standard deviation (σ) and sample size (n) are not provided, we cannot calculate the confidence interval or estimate the mean number of farms per state. Therefore, none of the given options (a, b, c, d) can be selected.