Trials in an experiment with a polygraph include 99 results that include 22 cases of wrong results and 77 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80​% of the time. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution.

Red Blood Cell Count: A simple random sample of 300 adult males is taken to measure the red blood cell count (in cells per microliter). Use a significance level of 0.01 to test the claim that the sample has a mean less than the population mean (μ = 5.4 million cells per microliter). Does the sample have a normal distribution? Explain why. Does the result suggest that the male sample has a red blood cell count below 5.4 million cells per microliter? Determine the descriptive statistics of the sample. State the statistical hypotheses: H0 and HA. Determine the α Is this test one or two tailed? What statistical conclusion did you reach regarding the question being evaluated? RED 4.80 4.73 4.47 4.32 4.95 3.95 4.68 4.60 4.09 5.47 4.44 4.15 5.07 4.38 5.22 4.22 4.32 4.30 6.34 5.60 4.93 5.18 3.54 4.61 4.22 4.99 5.23 4.01 4.07 5.06 4.30 4.28 4.76 4.14 4.61 4.67 4.36 4.28 4.59 4.77 3.86 5.38 5.03 4.60…

A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank's claim. Use the information given below. Use a significance level of .05 and assume the variances are equal. Local Bank (n = 46, avg wait time x = 2.3, sample standard deviation s = 1.1) Competitor Bank (n = 50, avg wait time x = 2.6, sample standard deviation s = 1.0) Are the samples dependent or independent? State your Null/Alternative hypotheses What is the test - statistic? What is the p-value? What are the critical values? Does the test - statistic lie in the rejection region? Interpret the Result? Does the result change for a different value of alpha? Explain? FORMULAS to get answers MUST BE SHOWN with figures

The patient recovery time from a particular surgical procedure was normally distributed with a mean of 5.6 days and a standard deviation of 2.1 days.  What is the probability of spending more than three days in recovery? The 90th percentile for recovery time is?