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Question: The mean life of a battery used in a digital clock is 305 days. The lives of the batteries follow the normal distribution. The battery was recently modified to last longer. A sample of 20 of the modified batteries had a mean life of 311 days with a standard deviation of 12 days. You have been asked to test if the modifications have increased the mean life of the batteries at the .05 significance level.
a) State the null & alternative hypothesis:
b) Compute the test statistic and indicate your decision regarding the null hypothesis? Hint: First determine your decision rule.
In the 2000 football season, 247 plays were reviewed by officials using instant video replays, and 83 of them resulted in reversal of the original call.
Examine the plot of the regression residuals against t. Is there a tendency for the residuals to have long positive and negative runs? To what do you attribute this phenomenon?
Draw a scatterplot indicating a strong negative relationship between the variables pf income and mental illness. Be sure to label the axes correctly.
The study was done to distinguish people's religion with how many days that they have said they have been calm in past three days. Determine proportion of Catholics were calm for 1 out of 3 days?
Using the original data, estimate the population standard deviation with 90% probability.
At 95% level of confidence, can we conclude that the babies using the Gibbs product gained less weight?
A contractor is considering a sale that promises a profit of $32,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $9000 with a probability of 0.3. What is the expected profit?
Find the probability that fewer than 7 are satisfied. c) Find the probability that 8 or more are satisfied. d) Find the probability that between 4 and 7 are satisfied with the airline.
Probability distribution described by the following density curve and The expected value of the sum of the weights of the two oranges, in pounds
a researcher is testing a possible carcinogen on mice. he chooses 8 mice at random from a batch of 13 mice. unknown to
If he were to randomly select 120 corks from the next box, then how many of these corks would John expect to be undersized?
Telephone interviews were conducted on a representative sample of 1,003 adults living in the United States. For this sample, 506 adults admitted that they have paid to download music
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