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A government worker claims that the standard deviation of the mean weight of all US Postal Service shipments is 0.40 pounds. If a hypothesis test is performed, how should you interpret a decision that (a) rejects the null hypothesis? (b) fails to reject the null hypothesis? First we figure out what the hypotheses are here by this easy trick. The claim is that the standard deviation (sigma) is equal to 0.40 pounds. Since it includes an "=" sign, it is the null hypothesis "H_0 : sigma = 0.40". Thus, the alternative hypothesis is "H_1: sigma not= 0.40". Then, depending on which scenario we find ourselves in after testing the hypothesis, we make a decision... (a) A decision that rejects the null hypothesis says that there is sufficient evidence to support the claim that "H_1 : sigma not= 0.40". (The evidence supports the alternative hypothesis) (b) A decision that fails to reject the null says that there is not enough evidence to support the claim that "H_1: sigma not= 0.40".
Student A transfers to FSU and has a cholesterol reading of 199. What is the probability of observing a cholesterol reading of 199 or less?
Two strategies over the 6-year period. Create a histogram of the final fund values. Based on your simulation results, which of the two strategies would you recommend? Why?
Using the original data, estimate the population standard deviation with 90% probability.
Assume that random variables X1,.....,X50 are independent and all have probability density function fX(x) = 1/x for 1
a standard deviation of 7.3 years. What is the 95% confidence interval estimate for the average number of years served by all Supreme Court justices?
"In each of the following situations, a hypothesis test for a population mean is needed. For each situation select the correct choice of the null hypothesis H0 and the alternative hypothesis Ha.
Choose an American driver at random and let the random variable X be the number of speeding tickets the driver has received in the last two years. The discrete probability distribution of X is shown.
Test the hypothesis that the annual incomes of corporate trainers in areas of more than 500,000 are significantly more than those in areas of less than 100,000.
A sample of the math test scores of 35 fourth-graders has a mean of 82 with a standard deviation of 15.
Which has mean of 88 and standard deviations 16. Find the probability that the difference between the sample mean. a)is more than 8. b)is less than by 18.
The information that the distribution of the serve speeds was bell shaped. What proportion of the player's serves are expected to be between 107 mph and 118 mph?
To test whether there is a significant mean difference among the three.
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