Need help with this assignment if someone could help me that would be very much appreciated!

USE ONLY THE ZSCORES AND TSCORES FROM THE CHARTS (not your calculator) when showing your work!! Be sure to determine whether the standard deviation is known (a) or unknown (5). Round all answers to the values given. 1. In order to determine how well a new method of teaching vocabulary is working in Pi necrest Elementary School, education researchers plan to give a vocabulary test to a sample of 120 sixthgraders. It is known that scores on this test have a standard deviation of o : 8.2. The researchers plan to find the sample mean and then construct a 99% confidence interval for the population mean test score. la. What is the critical zvalue for this confidence interval from the z scores chart? 1a. 1b. Find the margin of error (E) for this confidence. Show your work. 1b. 2. A sample of 325 patients between the ages of 40 and 82 were given a combination of the drugs ezetimibe and simvastatin. They achieved a mean reduction in total cholesterol of 0.94 millimole per liter. Assume the standard deviation is o : 0.25. 20. Use your calculator to construct a 95% confidence interval for the mean reduction in total cholesterol in patients who take this combination of drugs. 20. 2b. Should this confidence interval be used to estimate the mean reduction in total cholesterol for patients over the age of 85? Use a complete sentence or two to explain your answer. 2c. The doctors were hoping that the mean reduction in cholesterol level was less than 0.95. Use your results to determine if this is true. Write a complete sentence or two to explain your answer. 3A. 3B. 4A. 4B. A random sample of 3575 videos on Netflix was collected by a statistical researcher. A month later, the number of times each had been viewed was determined. The sample mean was 192.25 with a standard deviation of 223.75. Use your calculator to construct a 98% confidence interval for the mean number of times videos from Netflix had been viewed in the past month. 4A. Based on the confidence interval from 3A, is it reasonable to believe that the mean number of viewings is 175? Use a sentence or two to explain your decision. A machine that fills Captain Crunch Blueberry cereal boxes is supposed to put 22.5 ounces of cereal in each box. A simple random sample of 36 boxes is found to contain a sample mean of 21.9 ounces of cereal. It is known from past experience that the fill weights are normally distributed with a population standard deviation(o) of 0.35 ounces. Construct a 99% confidence interval for the mean fill weight. Find the standard error for the given information. Show your work. 2A. Construct a 95% confidence interval estimate of the mean fill weight for the cereal boxes. Show your work. (Check your answer with your calculator). 23. 4C. Write a sentence or two that interpret the results related to your confidence interval. A researcher aT The UniversiTy of Florida (60 GATORS!) is collecTing daTa abouT The school's sTudenT aThleTes and The mean number of hours spenT on required aThleTic acTiviTies each day. The populaTion sTandard deviaTion is known To be 3.25 hours. How many sTudenTaThleTes musT be included in The sample To be 95% confidenT ThaT The sample mean is wiThin 0.35 hour of The populaTion mean? Show your work in The opproprioTe formula below and Then wriTe your answer on The line provided. You MUST use The n formula given in The modules. 5. You wanT To esTimoTe The mean omounT of Time college sTudenTs spend on TLKTOK each monTh. HOW MANY college sTudenTs musT be surveyed in order To be 99% confidenT ThaT your sample mean is wiThin 12 minuTes of The populaTion mean? From a prior Nielsen survey, assume ThaT The popuIaTion sTandard deviaTion, o, is 185 minuTes. Use The sample size formula in The space below and show all work. WriTe your answer on The line provided. You musT use The n formula given in The modules