Mathematics Homework Help

I need support with this Statistics question so I can learn better.

Q1 Use your calculator or the standard normal tables to find the following probabilities. Round to 4 decimal places.

a. P(z < 1.07) = _____

b. P(z > -0.46) = ______

c. P(-2.05 < z < 0.79) = ________

Q2. SAT scores are normally distributed with a mean of

$\mu =1026$μ=1026 and a standard deviation of $\sigma =187$σ=187. Use this information to answer the following questions. Please show how you are arriving at your answer. Round probabilities to four decimal places.

a. Suppose one test taker is chosen at random. What is the probability that the score is below 1000? In other words, what is P(x < 1000)?

b. Suppose that a sample of 40 test takers is chosen and the sample mean score is computed. What is the probability that the sample mean score is below 1000? In other words, what is P(x ‘bar’ < 1000)?

Q3 In order to construct a confidence interval, what two things must you have?

margin of error

population parameter

population standard deviation

Q4 point estimateA recent survey of 850 Americans showed that 552 of them plan to celebrate Halloween in some way. Use this sample to construct a 95% confidence interval for the proportion of all Americans who plan to celebrate Halloween.

a. point estimate

b. margin of error

c. confidence interval