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To test H0​: μ=50 versus H1​: μ<50​, a simple random sample of size n=26 is obtained...

To test H0​: μ=50 versus H1​: μ<50​, a simple random sample of size n=26 is obtained from a population that is known to be normally distributed. Answer parts​ (a)-(c). ​(a) If x overbar =47.3 and s=13.1​, compute the test statistic. t= _________ ​(Round to two decimal places as​ needed.) (b) Draw a​ t-distribution with the area that represents the​ P-value shaded. Determine whether to use a​ two-tailed, a​ left-tailed, or a​ right-tailed test. c) Approximate the​ P-value.

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