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could you please answer the 2 questions: 1. According to recent survey, canadians in the age group +65 have the best credit scores of all

could you please answer the 2 questions:

1. According to recent survey, canadians in the age group +65 have the best credit scores of all 65+. canadians have a normal distribution with a mean of 750 and a standard deviation of 150. find the probability that the mean credit score of a random sample of 49 canadians from this group is (4 decimals)

a) less than 700=______

b) more than 800= _____

2. according to the canadian internet use survey by statistics canada in 2018, 71% of canadian seniors (65 and over) used the internet on a daily or nearly daily basis. a market researcher wishes to estimate the current (summer 2020) proportion of all canadian seniors who use the internet on a regular basis.

a) How large should the sample size be so that a 95% confidence interval for the proportion of all canadian seniors who use the internet on a regular basis has a margin of error of 0.02) consider the result of p^=0.71 from the 2018 study as preliminary sample portion.

b) it is expected that the internet use among canadian seniors has grown steadily since 2018 so, the proportion of users obtained from the 2018 survey will not be valid in 2020. assuming the current/valid sample proportion is unknown, what is the most conservative estimate of sample sixe that would limit the margin of error within 0.02 of the population proportion for a 95% confidence interval

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