answer me please

Task1. [5pts] The results of statistics were examined in a group of 10 students and the following data (Polish grades) were obtained: 3, 4, 3, 5, 4, 3, 3, 2, 2, 4. For the above data, build a (pointwise) distribution series (i.e. framed list of values and frequencies). Find the weighted arithmetic mean, median and mode. Task2. [5pts] The time X (in minutes) of the delay of 10 trains was examined and the following results were obtained: 4, 8, 4, 25, 6, 18, 20, 26, 18, 12. Calculate the arithmetic mean, median, mode and the following variation characteristics: variance, standard deviation, coefficient of variation. Task3. (5pts] The weight of a package of flour is a random variable X with the expected value m and standard deviation o. 100 packages were randomly selected from the batch of flour and it was calculated that X100 = 0.998kg, $10o = 0.005kg. At the significance level o = 0.01 verify Ho(m = 1.0) vs. Hi(m 18.5) e) At the significance level of 0.05 check the hypotheses Ho(m = 20) vs. Hi(m # 20) Task5. [5pts] Use the information provided to check the suggested hypotheses. We assume that the considered feature X has a normal distribution N(m, o) and we verify the hypothesis Ho(m = 7) vs. the hypothesis formulated below a) Hi(m 7), m = 8, $2 = 4, a = 0.02 c) Hi(m # 7),m = 9, $2 = 9, a = 0.05 Task6. [5pts] Formulate a task analogous to task 1 and present its solution :) The list of individual data should contain at least 20 elements. Task7. (5pts] In two groups of students the Polish grades of probability and statistics final exam were as follows: Group (I): 2/ 3/ 2/ 5/ 3.5/ 4/ 3.5/ 5/ 3/ 5/ 3/ 3.5/ 3/ 2/ 5/ 5/ 5/ 3/ 4.5/ 3/ 3/ 4 Group (II): 4/ 4.5/ 4.5/ 5/ 3/ 2/ 2/ 3/ 3.5/ 4/ 4/ 5/ 5/ 3.5/ 4/ 3/ 4.5/ 2/ 3 Use the coefficient of variation V and evaluate, in which of the two groups the recorded values show greater variability? Task8. [5pts] There is an inscription on the matchboxes: 48 matches on average. A random sample of 20 boxes was taken from the morning delivery and it was calculated that the average number of matches in a box is 47.5 pcs and the standard deviation in this sample is 3 pcs. We assume that the distribution of the number of matches in the boxes is normal N(m, o). At the o = 0.01 significance level, determine if the inscription on the box is consistent with reality. Also set a critical significance level. (Answer: Qcrit = 0.24) Task9. [5pts] Formulate a task analogous to task 8 and present its solution :) The list of individual data should contain at least 20 elements. Task10. [5pts] Formulate a task analogous to task 4 and present its solution :)