A random sample of 134 observations produced a sample mean of 33. Find the critical and observed values of z for the following test of hypothesis using α=0.1. The population standard deviation is known to be 6 and the population distribution is normal. H0: μ=28 versus H1: μ>28. Round your answers to two decimal places.
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1. Given that α=0.1, we need to find the z-value that corresponds to a cumulative probability of 0.9 (1-0.1) in the right tail of the standard normal distribution. Using a standard normal distribution table or calculator, the critical z-value is approximately 1.28. Show more…
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