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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?
the yearly cost of dental claims for the employees of the local shoe manufacturing company is normally distributed with
The data for the cats, you realize that if you now include data from one more cat, Redbeard, the mean whisker length of the cats becomes 10.514 cm. What was Redbeard's mean whisker length?
A hash table has space for 100 records then. what is the the probability of collision before the table is 10% full?
1. rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2.
Calculate separately for 1983 and 1987, the 95% confidence interval for the proportion of students who had driven an automobile while drinking.
Expand the above table to show the change in Ms A's investment portfolio over the year, and construct a suitable diagram to illustrate that information.
Analysis of how hypothesis testing and the use of confidence intervals are the same and analyze how these are different.
Your mayor just announced that the local unemployment rate dropped last month from the prior month. It went from 10.5% to 10.4%. Is this a significant drop? Explain.
a coin is tossed 7 times. let a be the event that the first toss is heads. let b be the event that the fifth toss is
From past experience, an airline has found the luggage weight for individual air travelers on its trans-Atlantic route to have a mean of 80 pounds and a standard deviation of 20 pounds.
Use these data to create a data-based CDF for the distribution of weights for lab animals. Estimate the probability that an animal's weight will be less than 9.5 grams.
1 describe the distribution of sample means2 the term error is used in two different ways in hypothesis testing a type
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