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A random sample of size 9 is collected from a normally distributed random variable. The sample mean is 6.507 and the sample variance is 3.99. An exact 80% confidence interval for the mean of the random variable is required. How should you calculate confidence interval using quantiles from a t-distribution and with how much degree of freedom? Is it approprait to use in calculating the confidence of interval quantiles from a normal distribution?Explain and show work.
Suppose a sample of 35 surveys shows a sample mean of 17 minutes. Use = 4 minutes. Is the premium rate justified? Formulate the null and alternative hypotheses for this application.
What is the value of the population mean? What is the best estimate of this value?
question suppose that the medium coffees sold by a certain coffee shop have a mean volume of 16 ounces and a standard
Compute the mode, median and mean for the college students and compute the mode, median and mean for the parents' data
prediction interval for the regression line.using the age and sick days data from table below find the 98 prediction
Plot the data on the same line and give your impression regarding any apparent differences between the two companies.
Registration process takes, on average, 2 minutes per patient. Among patients who get prescriptions, average time spent with doctor is 5 minutes. Among those admitted to hospital, average time is 30 minutes.
The mean lifetime of light bulbs made by this manufacturer differs from 55 months? Can we conclude that the mean lifetime of light bulbs made here differs from 55 months?
At a 5% level of significance, is there enough evidence from this survey to conclude that more than half of all adults would rather have $100 than a day off?
How many individuals will it need to sample to achieve this level of accuracy and confidence?
The probability that Luis will pass his statistics test is 0.44. What is the probability that he will fail his statistics test?
Suppose you roll a standard die 2000 times and let X be the sum of the values you get. Using the Central Limit Theorem, for what value of a is P[X >= a] approximately equal to P[N(0,1) >= 2] ?
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