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Finding appropriate z- and t-scores is important when constructing confidence intervals. Confidence intervals allow one to estimate important population parameters such as population mean, population proportion, population standard deviation, etc. We will also study how confidence intervals will let one determine how large of a sample is required in order to get within a desired error range. Thus, confidence intervals offer important real-world applications. In Part 4 of this lab (described below) you will use a population mean confidence interval to determine if the local economy is sufficient to handle a new candy-making business.
Part 3, however, focuses on finding the correct z- and t-scores for a given confidence level. You should carefully follow the examples located inside the Conf Intervals worksheet in our Lab 6 Excel file (linked above or here). Then, answer the following questions. Note that these questions are also inside the worksheet.
1. Using Excel, find the z-score that corresponds to the following Confidence Levels:
a. 80%
b. 85%
c. 92%
d. 97%
2. Using Excel, find the t-score that corresponds to the following Confidence Levels and Sample Sizes:
a. 95% with n = 25
b. 96% with n = 15
c. 97% with n = 21
d. 91% with n = 10
Determine the expected shape of distribution of sample mean? Compute the likelihood of choosing a sample with mean of at least $112,000?
Using random numbers of 0.1562, 0.9821, 0.3409, 0.5594, and 0.7758, compute the time required for each of five simulated maintenance checks of the airplaine's landing gear.
A developmental psychologist is studying memory development in children. He is interested in determining the exact age at which children began to recall long-term episodic memories.
Lab technicians at a major mdical lab can process an average of 400 blood samples a day with a standard deviation of 50 samples. The processing follows a normal distribution.
To test the effectiveness of a new studying strategy, a teacher randomly divides a sample of 8 students into tow groups, with n = 4 in each group.
The following data shows the packages gathered for delivery for ten days and the proportion of packages received not delivered to the customers at expected time.
what is the sample space of all possible outcomes? Are the outcomes equally likely?
In a survey of women in a certain country (ages 20-29) the mean height was 64.5 inches with a standard deviation of 2.75 inches. What height represents the 90th percentile? What height represents the first quartile?
Set up a null and alternative hypothesis to test whether this sample is falling below expectations.
A manufacturing process makes items whose weights are normally distributed. It is known that 22.57% of all the items made weigh between 100 grams up to mean and 49.18% weigh from the mean up to 190 grams. Find out the standard deviation.
Use this information to find the upper and lower limits of the first class if you wish to construct a frequency distribution with 10 classes.
Evaluate a simple aggregate price index for 2004. Use 2000 as the base period - Estimating the simple aggregate price index.
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