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Suppose that you do a test for H0: μ = 6 against HA: μ &neq; 6 you obtain a sample mean of 6.5 and the test gives you a a p-value of 6%. We want to connect the p-value to the confidence interval for the mean.
Statistics and Probability, Statistics
Confidence intervals (CI) are one of the simpler forms of inferential statistics. What does the CI represent? And why does our knowledge of the Central Limit Theorem (CLT) and the empirical rule let us understand why the ...
In this question are you just using the empirical rule? You know that your population is normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule as a rough approximation, what is ...
The probability that a student passes a class is p(P) = 0.59. The probability that a student studied for a class is p(S) = 0.55. The probability that a student passes a class given that he or she studied for the class is ...
You are promised $80 a year for the next 4 years. You are also promised a one-time payment of $2000 in 6 years. The interest rate is 6%. What is the total PV?
A customer service phone line claims that the wait times before a call is answered by a service representative is less than 3.3 minutes. In a random sample of 62 calls, the average wait time before a representative answe ...
Performance scores on a motor skills task form a normal distribution with μ = 20 and σ = 4. A psychologist is using this task to determine the extent to which increased self-awareness affects performance. The prediction ...
In families with four children, you're interested in the probabilities for the different possible numbers of girls in a family. Using theoretical probability (assume girls and boys are equally likely), compile a five-col ...
We want to estimate the mean weight of all 7th grade boys in a city. It is not known whether the distribution of the weights is normal or not. Suppose we have a random sample of 64 boys from 7th grade from that city and ...
According to national data, about 14% of American college students earn a graduate degree. Using this estimate, what is the probability that exactly 24 undergraduates in a random sample of 200 students will earn a colleg ...
What are financial ratios commonly used in quantitative models of debt ratings? List THREE financial ratios that represent three different factors and explain why these ratios can capture the company's ability to meet it ...
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