Hello! Can you help me to solve question 1 and 2 ? Thank you

Tall HWI x Soltips File | C:/Users/User/Downloads/ST1131%20tutorial_07_qn.pdf - Q 3 | [ Page view | A Read aloud | () Add text | V Draw " Highlight Erase| (f) Suppose we wished to plan a new experiment, to test for resistance to a new disease. We wish to obtain a 95% CI with the width of 0.2. What sample size n should we use? 2. A tax assessor wants to estimate the mean property tax bill for all homeowners in Madison, Wisconsin. A survey 10 years ago got a sample mean and standard deviation of $1400 and $1000. (a) How many tax records should the tax assessor randomly sample for a 95% confidence interval for the mean to have a margin of error equal to $100? What assumption does your solution make? (b) Suppose that it would now get a standard deviation equal to $1500. Using the sample size you derived in part (a), without doing any calculation, explain whether the margin of error for a 95% confidence interval would be less than $100, equal to $100, or more than $100? (c) Refer to part (b). Would the probability that the sample mean falls within $100 of the population mean be less than 0.95, equal to 0.95, or greater than 0.95? Explain. ST1131 141 X File | C:/Users/User/Downloads/ST 1131%20tutorial_07_qn.pdf + | D Page view | A Read aloud | () Addtext | \\ Draw * Highlight Erase | 6 2 1. The resilience of genetically modified plants to a particular disease was examined in an experiment. There are two types of genetic modification being studied: modification A and modification B. 104 plants with modification A were randomly sampled, and 90 plants with modification B were randomly sampled. These 194 plants were exposed to the same disease under the same conditions. Whether they were attacked by the disease (susceptible) or whether they remained unharmed (non- susceptible) was recorded. The data for this experiment is contained in gen_mod_plants . csv. (a) Identify the sample(s) and population(s). (b) Load the data into R, and create a 2 x 2 contingency table, with modification type in the rows and susceptibility in the columns. Comment on the row-wise conditional percentages in the table. (c) Write down p, the point estimate for the proportion of type A plants that are susceptible to this disease. (d) Compute a 95% confidence interval for the true proportion of type A plants that are susceptible to this disease. (e) Discuss which of the statements are true or false. i. 51.9% of all the type A genetically modified plants are susceptible to the disease. ii. We do not know what proportion of type A plants are susceptible, but we know it is between 42.3% and 61.5%. iii. We're 95% confident that the interval (42.3%, 61.5%) contains the true proportion of type A plants that are susceptible to disease. (f) Suppose we wished to plan a new experiment, to test for resistance to a new disease. We wish to obtain a 95% CI with the width of 0.2. What sample size n should we use? R 29"C Mostly cloudy ^ g x ( ()) ENG 0000 0000 Scanned with CamScanner