4. Find the(a) mean,(b) median,(c) mode, and(d) midrange for the given sample data.

An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where

1=smooth-yellow, 2=smooth-green, 3=wrinkled-yellow, and 4=wrinkled-green.

Do the results makesense?

3

3

2

3

3

2

4

2

3

1

2

3

4

4

Question content area bottom

Part 1

(a) The mean phenotype code is

enter your response here.

(Round to the nearest tenth asneeded.)

Part 2

(b) The median phenotype code is

enter your response here.

(Type an integer or adecimal.)

Part 3

(c) Select the correct choice below and fill in any answer boxes within your choice.

A.

The mode phenotype code is

enter your response here.

(Use a comma to separate answers asneeded.)

B.

There is no mode.

Part 4

(d) The midrange of the phenotype codes is

enter your response here.

(Type an integer or adecimal.)

Part 5

Do the measures of center makesense?

A.

Only themean, median, and midrange make sense since the data is nominal.

B.

All the measures of center make sense since the data is numerical.

C.

Only themean, median, and mode make sense since the data is numerical.

D.

Only the mode makes sense since the data is nominal.

5.Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of=1.2 kg and a standard deviation of=5.6 kg. Complete parts(a) through(c) below.

Question content area bottom

Part 1

a. If 1 male college student is randomlyselected, find the probability that he gains between 0 kg and 3

kg during freshman year.The probability is

enter your response here.

(Round to four decimal places asneeded.)

Part 2

b. If 16 male college students are randomlyselected, find the probability that their mean weight gain during freshman year is between 0kg and 3 kg.

The probability is

enter your response here.

(Round to four decimal places asneeded.)

Part 3

c. Why can the normal distribution be used in part(b), even though the sample size does not exceed30?

A.

Since the weight gain exceeds30, the distribution of sample means is a normal distribution for any sample size.

B.

Since the distribution is of samplemeans, notindividuals, the distribution is a normal distribution for any sample size.

C.

Since the original population has a normaldistribution, the distribution of sample means is a normal distribution for any sample size.

D.

Since the distribution is ofindividuals, not samplemeans, the distribution is a normal distribution for any sample size.