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A survey claims that 9 out of 10 doctors (i.e., 90%) recommend brand A for their patients who have children. To test this claim against the alternative that the actual proportion of doctors who recommend brand A is less than 90%, a random sample of 100 doctors results in 83 who indicate that they recommend brand A. The value of the test statistic z in this problem is approximately:
a. z=-1.99b. z=-1.83c. z=2.33d. z=-2.33
A sample of 30 cookies is taken to test the claim that each cookie contains at least 9 chocolate chips. The average number of chocolate chips per cookie in the sample was 7.8 with a standard deviation of 3.
The total profit (in dollars) for sales of x rowing machines is given by P(x) = -0.2x^2 + 300x - 200. What is the profit if 500 are sold? For what value of x will the profit be at a maximum?
Assuming the manufacturer's claim is true, what is the probability the consumer group's sample has a mean life of 52 or fewer months?
A manufacturer claims that the mean lifetime of its light bulbs is 55 months. The standard deviation of these lifetimes is 6 months. Twenty-two bulbs are selected at random, and their mean lifetime is found to be 56 months.
A random sample of 41 basketball players from The Official NBA Basketball Encyclopedia gave the sample standard deviation for player height as s=3.32 inches.
What percentage of the averages or medians of the sample will be greater than 140 seconds?
Based on the answers to a through d, decide whether or not to reject the null hypothesis at the given significance level. Explain your conclusion in the context of the problem.
Compute a 95% confidence interval for the population mean, based on the sample 25, 27, 23, 24, 25, 24 and 59. Change the number from 59 to 24 and recalculate the confidence interval.
Develop a joint probability table for these data and use the table to answer the remaining questions. What do the marginal probabilities tell you about the age of the US population?
I need to find the maximum and minimum surface areas for 2 cubes with a total volume of 432 in^3. No other perameters are specified. I've been able to use common sense to find the max is 432 sq/inches
Among Americans who are auto racing fans, 59% identify NASCAR as their favorite type of racing. What is the probability that all four have NASCAR as their favorite?
Chocolate bars produced by a certain machine are labeled with 16.0 oz. The distribution of the actual weights of these chocolate bars is Normal with a mean of 16.1 oz and a standard deviation of 0.1 oz. A chocolate bar is considered underweight if..
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