Analysis of Height Data and Statistical Measures

Review June The following data relate to the heights of 20 persons:
1.73 1.66 1.65 1.60 1.71 1.58 1.75 1.56 1.63 1.64
1.68 1.71 1.78 1.73 1.57 1.69 1.65 1.63 1.66 1.72
1. It groups these data into intervals of width 0.05, so the apparent lower limit of the former is 1.55. Make a table that appear real and perceived boundaries, the class marks and the two types of absolute frequencies.
Lim. Real
(Li, L i) N i Xini
(1.545, 1.595) 1.55 - 1.59 1.57 3 4
(1.595, 1.645) 1.60 - 1.64 1.62 4 10
(1.645, 1.695) 1.65 - 1.69 1.67 6 15
(1.695, 1.745) 1.70 - 1.74 1.72 5 18
(1.745, 1.795) 1.75 - 1.79 1.77 2 20
20
Find the average of these heights of two ways: with the data grouped and ungrouped. Which of the two means is more accurate? Why? Media with pooled data without grouping 1.6675 and 1.6665 (the second most accurate Find the standard deviation, variance and median of grouped data. 0.060156 Standard deviation; 0.00361875 variance, median 1,670. We consider the Data from the previous year as a sample of a population, and assume that the height follows a normal distribution. 1. Halla confidence interval 90% to the average height of the population; interpret it. (you can calculate the sample standard deviation with pooled data s(1.6426, 1.6904) It has been hypothesized that the average height of this population is not lower than 1.68. Taking = 10%, the data contradict the sample? The statistic is -0.98 and the rejection region (-; -1.33), then the sample data do not contradict the hypothesis.

Head circumference of girls aged two years follows a normal distribution of mean 4 8, 5 and standard deviation 1.46 (data in cm. What percentage of two-nins perietro ans has a minor head of 45 cm? 1.29% If a girl two years has a head circumference of 50 cm, where the percentile 88 percentile means that a child of two years is in the 40th percentile? What has this child head circumference47.885 What is the probability that five nins of this age have an enormous permetro mean head of 50 cm? 0.9963 The number of packages daily pharmacy sells a particular drug ontinue a Poisson distribution of parameter 7. 1 What is the probability that sell seven containers? 0.1490 are the chances to sell between ten and fifteen containers inclusive? 0.1671 Of all the packaging must have to start the day if you want to have a probability of at least 0.99 of that you run out? least 14