In a study of larval development in the tufted apple bud moth (platynota idaeusalis), an entomologist measured the head widths of 36 larvae. all 36 larvae had been reared under identical conditions and had moulted six times. in the sample, the mean head width was 1.20 mm and the standard deviation was 0.14 mm. construct and interpret a 90% confidence interval for the population mean.

First choice:

Most of the data in each plot are greater than 48.

Explanation:

1. Boy's Heights.

Using the information you can create a frequency table:

Heigth    Frequency

40                   0

41                     1

44                    3

46                    3

48                    2

50                    3

52                    4

54                    4

56                    0

58                    0

60                    0

                   

                      20 boys

2. Girl's Heights.

Similarly, create your frequency table:

Height        Frequency

40                      0

41                       0

42                      0

44                      2

46                      3

48                       1

50                      3

52                       4

54                       3

56                       4

58                       0

60                       0

                     

                        20 girls

Which is a true statement for most of the data in each plot?

Most of the data in each plot are greater than 48.

Count the dots or add the frequencies from the tables.For boys, the frequency of points greater than 48 is: 3 + 4 + 4 = 11 which is more than half (there are 20 dots).For girls, the frequency of points greater than 48 is: 3 + 4 + 3 + 4 = 14, which is also more than half.

Hence, it is correct that most fo the data in each plot are greater than 48.