I would like some assistance with the following probability distrution and inference for mean and population exercise

I would like detailed explanation as well

20. It is known that the weight of cows is normally distributed with an average of 1400 lbs and a standard deviation of 200 lbs. In a random sample of 50 cows, what is the probability that a cow weighs less than 1355 lbs? A-0.9441 B-0.5909 C-0.0559 D-0.409021. Forbes magazine wants to determine whether the average height of basketball players exceeds 182cm. Suppose that a random sample of 45 basketball players showed an average height of 183::m with a standard deviation of 50cm. What is the value of the test statistics? AD.1259 3-0.1342 C0.2345 D-U.2592 21A simple random sample of 400 iPhone users were asked if thew,r had issues with their phone after installing the new ICIS update. If it is known that in fact, 53% of iPhone users have issues with their phone after the new update, what is the probability that the sample proportion will be within 3% of the population proportion? AD.1151 3-0.7698 CU.3849 [1.8349 23. A fish farmer in St. Elizabeth claims that his Pink Snappers grow to an average of 12.5 inches in length. A sample of 30 fish is taken and the mean length is revealed to be 11 inches. If it is known that the standard deviation of Pink Snappers is 5.2 inches. Test at the 5% level of significance that the fish farmer has overstated {greaterthan} the true mean length of his fish. A H0u =35. H1u-(125' Test Statistics = 1.58, Pvalue= 0.9429, Conclusion We fail to reject the null hypothesis at the 5% significance level and conclude that there is enough evidence that the population mean length of Pink Snapper is greater than 11 inches. 3- H0\" :11. H1911, Test Statistics = 1.58, Pvalue= 0.9429, Conclusion We reiect the null hypothesis at the 5% significance level and conclude that there is enough evidence that the population mean length of Pink Snapper is Less than 12.5 inches. (3 H0.J =11. Hlu >11, Test Statistics = 1.58, Pvalue= 0.0571, Conclusion We fail to reject the null hypothesis at the 5% significance level and conclude that there is not enough evidence that the population mean length of Pink Snapper is greater than 12.5 inches. D- HOIJ =12_5,H1u11; Test Statistics 2 1.58, Pvalue= 0.9429, Conclusion We reject the null hypothesis at the 5% significance level and conclude that there is not enough evidence that the population mean length of Pink Snapper is Less than 12.5 inches. \"sun-.. u. . ..... unululuu. .u ._._...... ......... 4...... ...._...._,.... 24. The lecturer of an Introductory Statistics class would like to evaluate her teaching styles and requests printed copies of the course evaluation survey to give each student in her class. She also and hand it in at the end of class. Ifall her students completed the survey, this scenario represents a? Aparameter Bpopulation Csarnple Dcensus E-statistics 25. The department of chemistry would like to determine whether students prefer practical or theory assignments. The department emails a survey asking students to participate. What type of sampling method is being used? A Voluntarv Response Sample 3 Stratified Response Sample CMultistage Random Sample DSimple Random Sample ECluster Random Sample