your estimated distribution of X, calan- bate the probability that a randomly drawn individual from a population of 250 shows Value of X between 65 and 70. 5d) Using
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please answer the question in the attached picture with work shown, thanks!
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- assume that the data was obtained from two indepen-dent samples. That is, 28 subjects were enrolled into the study, and half were randomly assignedto the corn flakes diet, and half to the oat bran diet. After two weeks the LDL cholesterol level ofeach individual was recorded. LDL (mmol/l)Subject Corn Flakes Oat Bran1 4.61 3.842 6.42 5.573 5.40 5.854 4.54 4.805 3.98 3.686 3.82 2.967 5.01 4.418 4.34 3.729 3.80 3.4910 4.56 3.8411 5.35 5.2612 3.89 3.7313 2.25 1.8414 4.24 4.14 Questions; a) What are the appropriate null and alternative hypotheses for a two-sided test?(b) Conduct the test at the 0.05 level of significance. What is the p-value?(c) Construct a 95% confidence interval.The following table shows the number of shirts by sizes that are manufactured in a factory on aparticular week:Extra Small Small Medium Large Extra Large390 470 520 680 440 Determine the level of measurement that describes the following (i) The size of the shirt that a customer purchased(ii) The total amount paid by the customer(iii) The address of the factory that manufactures the shirts A machine packages shirt in bags with a mean weight of 3 kg. A random sample of 20 bagshas a mean weight of 3.05 kg with a standard deviation of 0.05kg, From the data given, state the value of a(i) parameter [1](ii) statisticThe lengths (in kilometers) of a random sample of 18 rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table below. Lengths of Rivers (in km) 136 121 322 209 208 98 160 66 97 56 90 48 167 64 72 93 288 138 For the data shown above, find the following. Do not round any of your answers. The program here will take either answer.a) Find the 5-number summary: { ,,,, } b) Compute the IQR. Put your answer in the first box and the correct units in the second box. c) What is the lower fence for this data set? What is the upper fence for this data set? d) Which of the following is the correct modified boxplot for the data? What units would go on each of your answers above?
- 1. Determine the missing values represented by W, X, Y, and Z.A W = 118; X = 102; Y = 35 450 and Z = 6 923 750B W = 102; X = 118; Y = 32 450 and Z = 8 923 750C W = 105; X = 115; Y = 32 450 and Z = 8 923 750D W = 102; X = 118; Y = 37 450 and Z = 6 923 7502.Using the sample data in Table 1 above, determine the mean daily consumption of water. A 244.1lB 262.9lC 240.9lD 252.3l3. Using the sample data in Table 1 above, determine the median daily consumption of water.A 243.1lB 241.5lC 247.9lD 238.3lA popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 191 182 179 183 200 174 Height (cm)of Main Opponent 183 185 178 181 184 176 a. Use the sample data with a 0.01significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? Identify the test statistic. t= Identify the P-value. P-value = What is the conclusion based…The lengths (in kilometers) of a random sample of 20 rivers on the South Island of New Zealand that flow to the Tasman Sea are listed in table below. Lengths of Rivers (in km) 121 68 56 108 56 32 32 177 64 80 64 35 37 80 56 64 72 72 76 48 For the data shown above, find the following. Do not round any of your answers. The program here will take either answer.a) Find the 5-number summary: { ,,,, } b) Compute the IQR. Put your answer in the first box and the correct units in the second box. c) What is the lower fence for this data set? What is the upper fence for this data set? d) Which of the following is the correct modified boxplot for the data? What units would go on each of your answers above?
- A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 177 172 180 184 189 181 Height (cm) of Main Opponent 162 189 165 176 181 173 a. Use the sample data with a 0.05significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? Identify the test statistic. Identify the P-value. b. Construct the confidence interval…Following is the data related to the daily production of the two factories of same product located in two different states. Factory Daily Production Factory 1 66 66 73 83 74 73 73 69 82 71 73 66 67 80 79 78 Factory 2 66 63 71 65 65 67 57 48 71 73 68 58 62 81 60 62 72 72 57 77 68 Calculate the value of pool standard deviation (Sp), degree of freedom in the light of part “b” and SED