The dot plots below show the test scores of seventh- and eighth-grade students: Based on visual inspection of the dot plots, which grade, if any, appears to have the higher mean score? Grade 7 Grade 8 Both groups show about the same mean score. No conclusion about mean score can be made from the data. Grade 7 : 6 dots for 50,4 dots for 60, 6 dots for 70,4 dots for 80. Grade 8 : 7 dots for 60 ,4 dots 70,4 dots for 80,3 dots for 90 ,and 2 dots for 100.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm