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In fiscal 1996, the U.S. Agency for International Development provided 238,300 metric tons of corn soy blend (CSB) for development programs and emergency relief in countries throughout the world. CSB is a highly nutritious, low-cost fortified food that is partially cooked and can be incorporated into different food preparations by the recipients.
The specifications for the CSB state that the mixture should contain 2 pounds of vitamin premix for every 200 pounds of product. These specifications are designed to produce a mean vitamin C content in the final product of 40mg per 100g. A sample of 8 readings from a production run has a mean of 22.50mg per 100g with a standard deviation of 7.19mg per gram.
Is there significant evidence that this production run does not meet the specifications? Use a 1% level of significance.
1. State the Null Hypothesis and the Alternative Hypothesis
2. Determine the test statistic.
3. Determine the P-value
4. Make a decision regarding the hypotheses based on the P-value and the Level of Significance.
What are the appropriate H0 and Ha for each of the following research studies? In addition, note whether the hypothesis test is one- or two-tailed.
Annual family dental expenses for the families of a random sample of ten employees of a company are given below. You can assume the family dental expenses for the employees of the company are normally distributed.
The t-statistics that was obtained in the study of 400 subjects was t=20, rejecting the null hypothesis and showing that the drug has a beneficial effect. Why was management upset?
Compute the optimal production quantities for the company?
A random sample of gasoline taxes (in cents) is shown here for 12 states. Use the data to estimate the true population mean gasoline tax with 90% confidence. Does your interval contain the national average of 44.7 cents?
The NY Dept of Motor Vehicles (DMV) designs its license plates with space for 7 letters or numerals. In the most recent iteration, the DMV uses three letters followed by 4 numbers.
A psychologist claims that more than 6.3% of the populations suffer from professional due to greate shyness. Categorize the Type II error in this context.
Why does Bob continue to play the video game even after losing $300?
How large a sample is required to estimate the mean speed with a margin of error equal to 2 miles per hour with 90% confidence?
Avalon Bakery would like you to recommend how many loaves of its rye bread to bake at the beginning of each day. Each loaf costs the bakery $3.00 and can be sold for $6.00.
A researcher conductued a study of the access speed of 35 hard drives and concluded that his maximum error of estimate was 35. If he were to conduct a second study to reduce the maximum error of estimate to 7, about how many hard drives should he ..
Calculate a 90% confidence interval for the percentage of homes in the US that had guns at the time of survey.
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