The B&K Real Estate Company sells homes and is currently serving the Southeast region. It has recently expanded to cover the Northeast states. The B&K realtors are excited to now cover the entire East Coast and are working to prepare their southern agents to expand their reach to the Northeast.B&K has hired your company to analyze the Northeast home listing prices in order to give information to their agents about the mean listing price at 95% confidence. Your company offers two analysis packages: one based on a sample size of 100 listings, and another based on a sample size of 1,000 listings. Because there is an additional cost for data collection, your company charges more for the package with 1,000 listings than for the package with 100 listings.Sample size of 100 listings:95% confidence interval for the mean of the Northeast house listing price has a margin of error of $25,000Cost for service to B&K: $2,000Sample size of 1,000 listings:95% confidence interval for the mean of the Northeast house listing price has a margin of error of $5,000Cost for service to B&K: $10,000The B&K management team does not understand the tradeoff between confidence level, sample size, and margin of error. B&K would like you to come back with your recommendation of the sample size that would provide the sales agents with the best understanding of northeast home prices at the lowest cost for service to B&K.In other words, which option is preferable?Spending more on data collection and having a smaller margin of errorSpending less on data collection and having a larger margin of errorChoosing an option somewhere in the middleFor your initial post:Formulate a recommendation and write a confidence statement in the context of this scenario. For the purposes of writing your confidence statement, assume the sample mean house listing price is $310,000 for both packages. “I am [#] % confident the true mean . . . [in context].”Explain the factors that went into your recommendation, including a discussion of the margin of error

We will start with the plaintext string'hi mom123456,Instructions - Use Wolfram Alpha to perform all calculations.We will use the standard ASCII alphabet for the project with a six-character blocking value. I will show you how to use the alphabet in Wolfram Alpha.Use the following prime numbers for all your encryption/decryption workp = 15485887 and q = 179424691Use e = 179 for your encryption exponent.Your task is to first encrypt and then decrypt the plaintext message given above.You will need to compute and display the following:N, the product of the given prime numbers.phi(N)=the Euler phi function value.d =your decryption exponent.The plaintext message converted to integers using the required six-character blocking value.The encrypted integer string.The decrypted integer string.The decrypted plaintext string to confirm your work is correct.Your report should include a written description of all the steps you took to complete both the encryption process and the decryption process including Wolfram Alpha screen shots showing all your calculations.here is the youtube linkhttps://youtu.be/Cf2LlptNZbY