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Flip a coin 20 times and 5 heads are obtained. Let p denote the probability of getting a head from each flip. Do a conservative test of size 0.06 for H0:p=< 0.4 vs Ha: p>0.4
Is this a statistically significant difference? Write the two statistical hypothesis and conduct the appropriate test with your conclusion justified.
The following data was randomly drawn from a normal population. At an alpha level of .05, does the mean of the population differ significantly from -150. Use Excel.
What is the probability that the student is both a sophomore and a history major?
Suppose that in order to satisfy legal requirements, a meat pie manufacturer may only produce .2% of pies below a weight of 750grams. If the preceding holds and if the weight of all pies is normally distributed with a standard deviation of 50 gram..
A manufacturer produces a batch of memory chips (RAM) and measures the mean-time-between-failures (MTBF). The manufacturer then changes a manufacturing process and produces another batch and again measures the MTBF.
A sample of 49 observations is taken from a normal population. The sample mean is 55 and the sample standard deviation is 10. Determine the 99% confidence interval for the population mean.
Indicate which of the following responses below is correct. Discuss why it is correct or discuss why standard deviation is such a valuable statistic in so many situations.
A sample of 50 customers resulted in a sample mean of $90. What is the probability of obtaining a sample with a sample mean smaller than $90?
The data is shown on the table. Is there a difference in mean SBP between treatments? Run the appropriate test at α= 0.05
The price of a book depends on the length. Let the random variable C denote the price of a book in dollars. If C = 4 + 0.1*P, what is the expected value of the price of a book?
If the city manager knows the average salary nationally is $38,300, which test of significance should be used? Why?
During a professor's office hours, students arrive, on average, every ten minutes. Assume that the distribution of the time between arrivals follows an exponential distribution. Suppose that a student has just left.
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