a) Box-and-whisker plot: plot 1st
b)
5 point summary:
Minimum = 31
First quartile, Q1 = 40
Median =45
Third quartile, Q3 = 52.5
Maximum = 68
Interquartile range, IQR = Q3 - Q1 = 52.5 - 40 = 12.5
c)
Class interval | Frequency |
31 - 38 | 11 |
39 - 46 | 24 |
47 - 54 | 15 |
55 - 62 | 7 |
63 - 70 | 3 |
Total | 60 |
Class interval | Midpoint, x | Frequency, f | fx | fx² |
31 - 38 | 34.5 | 11 | 379.5 | 13092.75 |
39 - 46 | 42.5 | 24 | 1020 | 43350 |
47 - 54 | 50.5 | 15 | 757.5 | 38253.75 |
55 - 62 | 58.5 | 7 | 409.5 | 23955.75 |
63 - 70 | 66.5 | 3 | 199.5 | 13266.75 |
Total | 60 | 2766 | 131919 |
Mean, x̅ = ∑fx / n = 2766/60 = 46.1
Standard deviation, s = √((∑fx² - (∑fx)²/n)/(n-1)) = √((131919 - 2766²/60)/(60- 1))
= 8.6420 = 8.64
----
Chebyshev's theorem states that the proportion or percentage of any data set that lies within k standard deviation of the mean where k is any positive integer greater than 1 is at least 1 – 1/k^2.
0.75 = 1-1/k²
1/k² = 1 - 0.75
k² = 1/0.25
k = 2
75% Chebyshev interval centered about the mean.
Lower limit = x̅ - 2*s = 46.1 - 2*8.64 = 28.82
Upper imit = x̅ + 2*s = 46.1 + 2*8.64 = 63.38
d)
∑x = 2769
∑x² = 132179
n = 60
Mean, x̅ = Ʃx/n = 2769/60 = 46.15
Standard deviation, s = √[(Ʃx² - (Ʃx)²/n)/(n-1)] = √[(132179-(2769)²/60)/(60-1)]
= 8.6256 = 8.63
How Democratic is Georgia County by-county results are shown for a recent election. For your convenience,...
1. What percent of undergraduate enrollment in coed colleges and universities in the United States is male? A random sample of 50 such institutions give the following data.Percent Males Enrolled in Coed Universities and Colleges41 47 48 76 51 41 49 57 43 48 42 39 38 57 46 57 58 26 55 57 45 33 56 37 46 52 40 47 41 38 45 38 54 57 57 27 68 49 46 39 30 53 40 52 40 54...
1. What percent of undergraduate enrollment in coed colleges and universities in the United States is male? A random sample of 50 such institutions give the following data. T41 47 48 76 51 41 49 57 43 48 42 39 38 57 46 57 58 26 55 57 45 33 56 37 46 52 40 For this problem, use five classes. Percent Males Enrolled in Coed Universities and Colleges 47 41 38 45 38 54 57 57 27 68 49...
West Battery Corp. has recently been receiving complaints from retailers that its 9-volt batteries are not lasting as long as other name brands. James West, head of the TQM program at West's Austin plant, believes there is no problem because his batteries have had an average life of 5050 hours, about 10% longer than competitors' models. To raise the lifetime above this level would require a new level of technology not available to West. Nevertheless, he is concerned enough...
Sample Data Sample Data Hour Sample Taken Hour Sample Taken 1 4 5 X 1 3 1 42 2 3 4 5 6 2 39 36 25 60 28 53 22 56 41 34 43 45 59 42 36 40 45 39 48 26 42 34 61 48 45 29 3 31 61 38 40 54 26 38 42 37 41 53 37 47 41 37 29 20 26 43 38 33 37 37 35 33 36 41 25 37...
Please answer this like right now West Battery Corp. has recently been receiving complaints from retailers that its 9-volt batteries are not lasting as long as other name brands. James West, head of the TQM program at West's Austin plant, believes there is no problem because his batteries have had an average life of 40 hours, about 10% longer than competitors' models. To raise the lifetime above this level would require a new level of technology not available to West....
MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An experiment was designed to estimate the mean difference in weight gain for pigs fed ration A as compared with those fed ration B. Eight pairs of pigs were used. The pigs within each were there were assigned at random to the two animals within each pair. The gains (in pounds) after 45 days are shown in the following table. Assuming weight gain is normal, find the confidence intervalimate the of the differences...
4 Using your TI-83/4, sketch a histogram of the following data (n = 25; Sx = 1327) and calculate the (a) mean, (b) median, (c) mode and (d) sample standard deviation. (e) How would you describe the shape of the histogram? (pp 56, 58, 89) 48 59 31 34 35 37 41 46 42 45 47 49 51 52 52 60 61 67 77 75 55 83 53 56 71 5
NO Excel. Please show all steps. May the ratings be ever in your favor.Thank you. 61, 52, 59, 57, 56, 56, 58, 55, 56, 60, 57, 58, 53, 57, 56, 55, 57, 61, 58, 59, 56, 59, 57, 54, 54 Mean = 56.84 , Variance = 5.094 , Standard Deviation = 2.257 , Range = 9 , Median = 57 Use this dataset, answer the following questions. Enter the number with at least 3 decimal places. 1. Suppose the upper...
mpt.php?attempt=2052118cmid=106895 Portfolio Online Support Moodle 101 CODel Services Moodle Resources 1 TI out of A feeding test is conducted on a herd of 25 dairy cows to compare two diets, A and B. A sample of 13 cows randomly selected from the herd, are fed diet A and the remaining cows are fed with diet B. From observations made over a three-week period, the average daily milk production (in L) is recorded for each cow. Milk Yield (in L) Diet...
Do the Academy Awards involve discrimination based on age? Listed below are the ages of actresses and actors at the times that they won Oscars in the Best Actress and Best Actor categories. the ages are listed in order, beginning with the first Academy Awards ceremony in 1928. (Note: in 1968 there was a tie in the Best Actress category, and the mean of the two ages is used; in 1932 there was a tie in the Best Actor category,...