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1. Assume you need to build a confidence interval for a population mean within some given situation. Naturally, you must determine whether you should use

1. Assume you need to build a confidence interval for a population mean within some given situation. Naturally, you must determine whether you should use either the t-distribution or the z-distribution or possibly even neither based upon the information known/collected in the situation. Thus, based upon the information provided for each situation below, determine which (t-, z- or neither) distribution is appropriate. Then if you can use either a t- or z- distribution, give the associated critical value (critical t- or z- score) from that distribution to reach the given confidence level.
a. 98% confidence n=150 unknown population data believed to be normally distributed
Appropriate distribution:
Associated critical value:
b. 90% confidence n=12 unknown population data believed to be normally distributed
Appropriate distribution:
Associated critical value:
c. 95% confidence n=18 unknown population data believed to be skewed left
Appropriate distribution:
Associated critical value:
d. 99% confidence n=75 known population data believed to be very skewed
Appropriate distribution:
Associated critical value:

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