Ethan and Drew went on a 10-day fishing trip. The number of smallmouth bass caug

Question

Ethan and Drew went on a 10-day fishing trip. The number of smallmouth bass caught and released by the two boys each day is shown in the accompanying data table. Complete parts (a) through (d) below. Click the icon to view the data table (a) Find the population mean and the range for the number of smallmouth bass caught per day by each fisherman. Do these values indicate any differences between the two fishermen's catches per day? The range for the number of smallimouth bass caught per day by Ethan is Type an integer or a decimal. Do not round.) The population mean for the number of smallmouth bass caught per day by Ethan is (Simplify your answer) The range for the number of smallmouth bass caught per day by Drew is Type an integer or a decimal. Do not round.) The population mean for the number of smallmouth bass caught per day by Drew is Simplify your answer.) Do these values indicate any differences between the two fishermen's catches per day? Data Table O A. Yes. Ethan has a much lower population mean than Drew O B. Yes. Ethan has a much higher range than Drew O C. No. Both Ethan and Drew have a similar range O D. No. Both Ethan and Drew have a similar population mean and range (b) Draw a dot plot for Ethan. Draw a dot plot for Drew. Which fisherman seems more consistent? Choose the correct dot plot for Ethan below Ethan 10 24795 89 10 810 Drew 15 23 18 2017 2 9 3 Print Done Choose the correct dot plot for Drew below O Click here to view dot plot d

Explanation / Answer

SolutionA:

Rcode:

ethan <- c(10,24,7,9,5,8,9,10,8,10)
drew <- c(15,2,3,18,20,1,17,2,19,3)
range(ethan)
mean(ethan)
range(drew)
mean(drew)

range of ethan is

=max-min=24-5=19

range of ethan=19

pop mean for ethan =sample mean=10

range of drew is

=max-min=20-1=19

Range=19

mean of drew

mean of drew =10

NO both ethan and drew have same population mean and range.

Solutionb:

From the dorplot in R we found

Ethan seems more consistent,since more of the observations are clustered together.

SOlutionc:

rcode is

ethan <- c(10,24,7,9,5,8,9,10,8,10)
drew <- c(15,2,3,18,20,1,17,2,19,3)

To find syandar deviation

sd(ethan)
sd(drew)

sd of ethan is5.2

sd of drew is 8.3

yes since the fresher men have same popualtion means and ranges while having different population standard deviations.

Ethan has more connsistent record since his standard deviation is lower

Solutiond:

range =maxmin

OPTIOND

The range only takes into account the smallest an largest values ,which does not rvide any information about the dispersion of the distribution between thse values

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