When constructing a confidence interval for μ and/or a hypthesis test, how do you decide whether to use the t distribution or the normal distribution?  Are there any circumstances when it is acceptable to use either distribution?

Q: A researcher wants to estimate the mean blood cholesterol level of young men ages 15-25 with a…

A: Given that,  Confidence interval =83.56% Standard deviation=35 mg/dl We have to find the value of n

Q: Use the standard normal distribution or the​ t-distribution to construct a 90​% confidence…

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Q: Suppose that your sample size is 3000 and that you wish to construct a 95% confidence interval. Your…

A: From the provided information,n = 3000Confidence level = 95%Sample standard deviation (s) = 42.3

Q: pbm 4

A: Given data and calculation is shown below Formation of Hypothesis Null Hypothesis:- The Daily…

Q: A random sample of 732 judges found that 405 were introverts. Construct a 95% confidence interval…

A: we have given that sample size n=732 favorable cases x= 405  and sample proportion p^=x/n

Q: a. What is the appropriate distribution to use to construct a confidence interval based on this…

A: Given that  Sample size = 13 Mean = 40.8 Standard deviation = 2.2 99% confidence interval

Q: SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An…

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Q: the results. Use the standard normal distribution or the t-distribution to construct a 95%…

A: The yards per carry of 25 randomly selected running backs…

Q: A professor is trying to find the average exam grade in his class. The sample mean should be within…

A: Determine the value of sample size n. The value of sample size n is obtained as shown below: Use…

Q: SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested…

A: Critical value: The value of α is 0.05 for 95% confidence level. Using excel formula…

Q: SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested…

A:

Q: SAT scores are normally distributed with a mean of 1,500 and a standard deviation at a college is…

A: The population standard deviation is known. So, the critical value from the standard normal table at…

Q: Work Time Lost due to Accidents At a large company, the Director of Research found that the average…

A:

Q: When calculating the confidence interval for a population mean, we should use a normal distribution…

A: According to the central Limit theorem The mean of sample following the normal distribution as the…

Q: SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An…

A: We have to find sample size....

Q: SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An…

A: It is given that the confidence level is 0.80, the population standard deviation is 300 and the…

Q: 55 and 145​? ​(b) What percentage of people has an IQ score less than 55 or greater than 145​? ​(c)…

A: Scores of an IQ test have a ​bell-shaped distribution with a mean of 100 and a standard deviation of…

Q: SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An…

A: Given,standard deviation(σ)=300margin of error(E)=15α=1-0.95=0.05α2=0.025Z0.025=1.96

Q: what would be the probability that you would select any one individual who falls between +1 and -2…

A: Given that,

Q: Use the standard normal distribution or the​ t-distribution to construct a 99​% confidence interval…

A:

Q: Suppose that your sample size is 3 and that you wish to construct a 95% confidence interval. Your…

A: Sample Size= 3Standard eviation=20.4Confidence of interval = 95%We have to find margin of error?

Q: An article in the San Jose Mercury News stated that students in the California state university…

A: Given, Sample size (n) = 48 Sample mean (x̅) = 5.1 Sample standard deviation (s) = 1.2

Q: Test the claim that the mean GPA of night students is significantly different than 3.3 at the 0.2…

A: Given: Sample size (n) = 50 Sample mean (x̅) = 3.28 Standard deviation (s) = 0.03 Level of…

Q: Selling used cars is often a pain, A lot of selling to do for very little gain My used car lot has…

A: Given, n = 36 mean = 7245 s =  2500 Confidence level = 95%

Q: The t-test serves as a measure of the agreement between two measurements of the same quantity.…

A: It is true that the t-test serves as a measure of the agreement between two measurements of the same…

Q: Selling used cars is often a pain, A lot of selling to do for very little gain My used car lot has…

A: We have to find given ci.

Q: SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An…

A: Margin of Error: margin of error of a point estimate provides the extent of accuracy with which the…