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"A machine is designed to fill jars with 16 ounces of coffee. A consumer suspects that the machine is not filling the jars completely. A sample of 8 jars has a mean of 15.6 ounces and a standard deviation of 0.3 ounce. Is there enough evidence to support the consumer's conjecture at a = 0.05?" (adapted from Bluman, 1998, p. 381).
a) First, identify the alternative and the null hypotheses.
b) Secondly, calculate the critical value and df.
c) Next, use the appropriate formula.
d) Finally, decide whether or not to reject the null hypothesis.
To determine the public's opinion of the police department, the police chief obtains a cluster sample of 15 census tracts within his jurisdiction and samples all households in the randomly selected tracts. Uniformed police officers go door to door..
Compute the 95% confidence interval for the proportion of adults who are planning to buy a new car in the next 6 months.
What is the probability that a randomly selected mango weighs less than 14 ounces?
The Roller Products Company produces roller skates and skateboards. It has three production lines. Production line 1 makes skateboard platforms.
A major department store chain is interested in estimating the average amount its credit card customers spent on their first visit to the chain's new store in the mall.
X has a normal distribution with a mean of 80.0 and a standard deviation of 3.5. Find the following probabilities.
Does this sample indicate a smaller average? Use α = 0.05 and assume a normally distributed population.
A competitive school requires an applicant to have an IQ score in the top 10% of adults. What is the cutoff score?
Normal distribution with average 500 and SD 100. A college wants their students to be in the top 12.5% for verbal aptitude. What minimum qualifying score should they set?
What is the 95% one-sided confidence interval for the average worker? What is the 95% predicted dose for a 95% one-sided confidence interval?
What are the singleton subsets of X and Y? are the empty set and the sample space the singleton subsets?
What is the z a/2 for a confidence level of 95%, the margin error of this sample and give a 95% confidence interval for the mean weight of boxes produced based on the sample mean of 16.4?
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