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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 with the objective of making it last longer. A sample of 20 of the modified batteries had a mean life of 311 days with a standard deviation of 12 days. Did the modification increase the mean life of the battery?
a. State the null hypothesis and the alternate hypothesis.
b. Show the decision rule graphically. Use the .05 significance level.
c. Compute the value of t. What is your decision regarding the null hypothesis? Briefly summarize your results.
Determine the following areas under standard Normal distribution curve.
According to the study, the mean age of a self-employed individual is 46.6 years with a standard deviation of 10.8 years.
Must the company replace old truck? If so which of new trunks must they use? Describe in detail.
Formulate the hypotheses that can be used to determine whether union membership increased in 2006.
The weight of a product is normally distributed with a mean of four ounces and a variance of .25 "squared ounces." What is the probability that the randomly selected unit from a recently manufactured batch weighs no more than 3.50 ounces.
Develop an appropriate forecast model for the given problem whereas the student population has remained constant during this period.
A radio station wants to know if residents in their area are in favor of a proposed tax increase. They invite listeners to call in to respond to the poll. 645 of the 800 who responded were against the tax.
Compute the 95% confidence interval around the mean of each of the three groups and plot the confidence interval in the space provided above.
Determine the mean and standard deviation of this distribution?
Use this information to construct a probability table, and then calculate each of the following probabilities: P(foreign car)
At the .01 level of signiicance, is the true mean greater than 10?
Construct the 90% and 99% confidence interval for population mean. Which interval is wider? If convenient, utilize technology to construct confidence intervals.
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