Question

A farmer would like to estimate the mean amount of

milk produced per day by his 300 cows. He selects a

random sample of 15 cows and records the amount of

milk produced in gallons) by those cows. The dotplot

shows the data. Given that all of the recorded values are integers, what is the value of the standard error of the mean?

0.765

0.792

2.267

2.346

Answer 1

0.765

Explanation:

The dot plot shows the data

x= 20,21,22,23,24,24,25,25,25,26,26,27,28,29,31

The mean x`= ∑x/n =20+21,+22,+23,+24,+24,+25,+25,+25+,26+,26+,27+,28+,29+,31/15= 376/15

=25.067

where n is the sample size= 15

The standard deviation is σ=2.96

( using calculator)

The standard error is calculated as

SE= σ/√n

SE= 2.96/√15

SE= 0.765