Let X ~ Bin(20, p). Suppose we test. Ho: p≤ 0.5 Ha: p > 0.5. Assume the rejection region is {14,15,16,17,18,19,20}. Then, we conclude_ (a) if X = 12. The type I error probability is _____(b) if p = 0.5. The type I error probability i (c) if p = 0.4.

d,e,f e) This result would be (usual, unusual) so the sample likely came from a population whose mean gestation period is(less, more, equal) to 266 days

The average wait time to get seated at a popular restaurant in the city on a Friday night is 12 minutes.  Is the mean wait time greater for men who wear a tie? Wait times for 13 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 13, 13, 11, 13, 13, 13, 13, 10, 12, 13, 13, 10, 13 What can be concluded at the the αα = 0.05 level of significance level of significance? The null and alternative hypotheses would be:     H0 = (p,u) (<,>,=,not equal) to _____ H1 = (p,u) (<,>,=,not equal) to  _____ The test statistic  (t,z) = ___ The p-value = _____  Thus, the final conclusion is that ... The data suggest that the population mean wait time for men who wear a tie is not significantly more than 12 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is more than 12. The data suggest the population mean is not significantly more than 12…

X ~ N(60, 14). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let ΣX be the random variable of sums.Give the distribution of X. Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) P(X < 60) =.Find the 30th percentile.

Assume that the random variable X is normally distributed, with mean u = 60 and standard deviation o=8. Compute the probability P (38 < X < 70) Please show step by step your calculations. Thank you.