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A quality characteristic of interest for a tea-bag-filling process is the weight of the tea in the individual bags. If the bags are under filled, two problems arise. First, customers may not be able to brew the tea to be as strong as they wish. Second, the company may be in violation of the truth-in-labeling laws. In this example, the label weight on the package indicates that, on average, there are 3.40 grams of tea in a bag. If the average amount of tea in a bag exceeds the label weight, the company is giving away product. Getting an exact amount of tea in a bag is problematic because of variation in the temperature and humidity inside the factory, differences in the density of the tea, and the extremely fast filling operation of the machine (approximately 215 bags a minute). The following table provides the weight in grams of a sample of 50 bags produced in one hour by a single machine:
2.95 3.70 3.42 3.40 3.53 2.54 3.54 3.45 3.52 3.813.57 3.40 3.83 2.54 3.55 2.62 3.66 3.46 2.64 3.513.67 3.40 3.47 3.61 2.53 3.32 2.67 3.29 3.49 3.553.77 3.57 3.42 3.58 3.68 3.50 3.32 3.50 3.53 2.583.61 3.45 3.44 3.25 3.56 3.63 3.50 2.57 3.67 3.36
a. Compute the arithmetic mean and median.b. Compute the first quartile and third quartile.c. Compute the range, interquartile range, variance, standard deviation, and coefficient of variation.d. Interpret the measures of central tendency within the context of this problem. Why should the company producing the tea bags be concerned about the central tendency?e. Interpret the measures of variation within the context of this problem. Why should the company producing the tea bags be concerned about variation?
Six groups of randomly selected students matched for IQ and age were formed. Each student was taught a concept of time by using one of three methods: Lecture, demonstration
Here are the shopping times (in minutes) for a sample of shoppers at a particular shoe store: 25, 38, 34, 41, 37 and find the standard deviation of this sample of shopping times. Round your answer to at least two decimal places.
Find a 90% confidence interval for the population average µ of the percentage of hospitals providing at least some charity care.
Events A and B are mutually exclusive events defined on common sample space. If P (A) 0.5 and P (A or B) = 0.70, determine P (B).
Examined the effect of body position on blood pressure
Construct a 90% prediction interval for sales when the total sq footage is 4.2 billion. The equation of the regression line is yhat=499.967x - 1595.147.
Following data represent random sample of bank balances for population of checking account customers at large eastern bank. Based on data, determine the 95 percent confidence interval estimate for true population mean?
Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 588 depressed individuals is selected and treated with Resithan, and 201 find relief from their depression.
One group is given the new drug and the other group is given the standard drug. Data are recorded on the effects of each drug. Is the research division using dependent or independent samples? Why?
Test the null hypothesis that these Arizona students scored the same as the North Dakota students. (238 North Dakota students had a mean of 525)What t-statistic do you obtain?
Find the probability that the mean wieght of these 400 bags exceeds 16.6 ounces.
A survey of 600 non-fatal accidents showed that 111 involved the use of a cell phone. Find a point estimate for p, the population proportion of accidents that involved the use of a cell phone.
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