Please help me do this case study with explanations with the answers and the calculations on excel
CASE STUDY:
Ya Ya's Yogurt. Last year Ya Ya Yogurt's decided to enter the flavored yogurt market, and it began cautiously by producing, distributing, and marketing a single flavor—a blueberry-flavored yogurt. The company’s initial venture into the yogurt market has been very successful; sales of blueberry are higher than expected, and consumers’ ratings of the product have a
Emboldened by the success and popularity of its blueberry-flavored yogurt, Ya Ya's management is now considering the introduction of a second flavor. Ya Ya's marketing department is pressing to extend the product line through the introduction of a strawberry-flavored yogurt, but senior managers are concerned about whether or not a strawberry option will increase Ya Ya's market share by appealing to potential customers who do not like blueberry. That is, the goal in offering the new product is to increase Ya Ya's market share rather than cannibalize existing sales of blueberry yogurt. The marketing department has proposed giving tastes of both blueberry and strawberry to a simple random sample of 50 customers and asking each of them to rate the two yogurts on the 100-point scale. If the mean score given to blueberry by this sample of consumers is 75 or less, Ya Ya's senior management believes the sample can be used to assess whether strawberry will appeal to potential customers who do not like blueberry. (NOTE: A separate data file is not necessary to perform the following calculations.)
Prepare a report that addresses the following:
a. Calculate the
b. If the Marketing Department increases the
c. Explain to Ya Ya's senior management why the probability that the mean score of blueberry given by the simple random sample of Ya Ya's customers will be 75 or less is different for these two sample sizes.
The customers' ratings of the product have mean .
The ratings have a standard deviation
The sample size of the customers is
Let the sample mean of the scores of blueberry be
The mean of the sample mean is .
The standard deviation of the sample mean is
Now,
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