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Conduct a one-tailed hypothesis test given the information below. A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 116 days. After a revised mix has been developed, a sample of nine boxes of cake mix had a mean of 117.333 and a standard deviation of 2.456. At the 0.05 significance level, what is the critical value? State the null and alternative hypothesis. Draw a diagram. Provide the computation of the test statistic. State your decision in terms of the null hypothesis. Please show work.
The weight of an almond is normally distributed with mean 0.05 ounce and standard deviation of 0.015 ounce. Find the probability that a package of 100 almonds will weigh between 4.3 and 5.3 ounces.
In a random sample of 225 students at a university, 180 stated that they were nonsmokers. Based on this sample, compute a 95% confidence interval for the proportion of all students at the university who are nonsmokers.
You had calculated the following measures of central tendency: the mean, the median, and the mean trimmed 25%. Which of these measures of central tendency will change when you correct the recording error?
The following frequency table lists the sales of an item and the number of times it has occurred. It was obtained from historical records.
Suppose the world series is about to begin. Some people get together and each decide to predict different win-loss patterns for the seven possible games during the coming series.
A method of determining if relationships exist between two variables is:
Assume the reliability of a product is given by an exponential distribution with a mean of 1 year. How long would it take to achieve a 10% failure rate?
The manufacturer of an airport baggage scanning machine claims it can handle an average of 530 bags per hour.
Do you think this detection bias would strengthen or attenuate the association between vegetarian diet and learning disabilities? Defend your choice briefly.
Jose scores 842 on the SAT. Assuming that both tests measure the same thing, what score on the ACT is equivalent to Jose's SAT score?
A study of cardiovascular risk factors compared heavy smokers, light smokers, and nonsmokers. Both men and women were included in the study so that the two factors are smoking level and gender.
Before 1918, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male?
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