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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x*, is found to be 111, and the sample standard deviation, s, is found to be 10.
a) Construct a 98% confidence interval about u if the sample size, n, is 22.
b) Construct a 98% confidence interval about u if the sample size, n, is 17.
c) Construct a 90% confidence interval about u if the sample size, n, is 22.
d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
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Given a binomial distribution with n=29 and p=0.83, would the normal distribution provide a reasonable approximation? Why or why not.
Explain finding value of test statistic for the given data also interpret the result. Can Mr. Ratter compute which the mean weight of the bags is less than 50 pounds.
a clinical trial is run to investigate the effectiveness of an experimental drug in reducing preterm delivery to a drug
The gestation period for human births can be taken as normally distributed with a mean of 266 days and a standard deviation of 16 days.If a gestation period is 276 days, what percentile among human births is this?
Bring to mind a research question that interests you, or a current event that utilizes statistics to present results, that you can use as an example for this discussion. State the research question or the current event and results.
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A family has 5 children and 1 of them is a boy...the percentage of boy is 1/5, or .020. Do you think one could say the chances of any woman having a boy would be 1/5? Explain your answer.
How many cans of paint should the sample contain if the researcher wants to be 98% certain of being within one percentage point of the true proportion of this chemical?
The quality control department of Widgets Manufacturing needs your help. They can't decide which significance level is appropriate for testing the claim that fewer than 50% of widgets from a production run are defective.
Find/discover an example of statistics in the news to discuss the following statement that represents one of the objectives of statistics analysis: "Statistics helps us make decisions based on data analysis.
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