Another product packaged by Prairie Flower Cereal Inc

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Another product packaged by Prairie Flower Cereal Inc. is an apple cinnamon cereal. To test the packaging process of 40 oz (1,134-gram) boxes of this cereal, 23 samples of six boxes each are randomly sampled and weighed. The lower and upper acceptance limits have been set at 1,120 grams and 1,150 grams respectively. The data are contained in the data File Granola.

a. Compute the overall sample mean, sample variance, and variance of the sample means for each sample

A group of business students conducted a survey on their university campus to determine student demand for a particular product, a protein supplement for smoothies. As part of their initial steps they randomly sampled 113 students and obtained data that could be helpful in developing their marketing strategy. The responses to this survey are contained in the data file Smoothies.

a. Find a 95% confidence interval estimate for the population proportion of students who would like supplements such as protein, creature, or energy boosters in their smoothies.

b. Estimate the population proportion of students who consider that they are very health conscious with a 98% confidence level.

c. Of the 113 respondents 77 indicated that they drank smoothies in the afternoon. Determine with 90% confidence an estimate of the population proportion that drinks smoothies in the afternoon.