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Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below.
The firm examined 45 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation, s = 4.45 pages. Is the true mean greater than 10 at a 99% confidence level?
A. Choose the Hypothesis
B. Specify the Decision Rule
C. Calculate the Test Statistic
D. Make the Decision
E. Give an interpretation of the Decision
F. P-value Method
1. Calculate the P-value. What is it?
2. Does that P-value support the Decision in Part D
A film alliance used a random sample of 50 U.S. citizens to estimate that the typical American spent 78 hours watching videos and DVDs last year. The standard deviation of this sample was 9 hours.
An orange juice producer buys all their oranges from one particular orchard. The amount of juice from the oranges is approximately normally distributed with a mean of 152 ml. and a standard deviation of 41 ml.
The average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a randomly selected cherry tree in this nursery is less than 13 feet tall.
A test of hypothesis is conducted at the .05 level of significance to test either or not the population correlation is zero.
Average electric use was studied.a previously known population standard deviation was 450KWH. a sample of 81 houses was studied and found to have a mean of 1858 KWH. Find the 95% confidence interval for the true mean.
A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each location. Research question: At α = . 05, does vehicle type vary by mall location?
Give a brief description of a real-world example in which one measure of central tendency provides useful information while another measure of central tendency provides meaningless (or even misleading) information.
What is the distinction between a one-sided and a two-sided hypothesis test in this problem?
State the null and alternative hypotheses. Using the test statistic, degrees of freedom and p-value, what can you conclude about the null hypothesis? What is the 95% confidence interval of the difference? Interpret the 95% confidence interval using t..
The net profit of an investment is normally distributed with a mean of $10,000 and a standard deviation of $5,000. The probability that the investor's net profit will be between $12,000 and $15,000 is _____________.
In a public opinion poll, 48% of 189 respondents favor an elimination of taxes on dividend income.
Suppose that SAT score is normally distributed with a mean 988 and a standard deviation of 211 in 2004.A local college plans to set up a scholarship budget for 2005 where $5000 will be awarded to each incoming freshman whose SAT score is higher th..
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