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We assume that blood pressure, X, has a N(µ,σ2) distribution. To estimate µ and σ, we randomly sampled 9 people and measured their blood pressure. The sample mean and sample standard deviation are ¯ X = 110 and S = 6. Knowing that based on the t(8) distribution, 0.8-quantile = 0.9, 0.85-quantile = 1.1, 0.9quantile = 1.4, and 0.95-quantile = 1.9, answer the following questions.
a. Write down the point estimate for µ along with its standard error.
b. Write down the margin of error at 0.8 con?dence level.
c. Write down the 80% con?dence interval estimation for µ based on this sample.
d. Assume that we want to test the null hypothesis H0 : µ = 120 using a one sample t test, what is the t score?
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The distribution is shown here, where the random variable x is the number of days between the placement of the replenishment order and the receipt of the item.
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Find the confidence interval for the mean price, μ, of all dealer sticker prices of new cars: for a confidence level of 90% in thousands of dollars:
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