Consider the sample observations on stabilized viscosity of asphalt specimens: 2781, 2900, 3013, 2856, and 2888. Assume they come from a normal distribution. Suppose that for a particular application it is required that the true mean viscosity be less than 3000. Does this requirement appear to have been satisfied? State and test the appropriate hypotheses. Use a level of significance α=0.05, and all the three testing approaches. State your decision and conclusion

Someone answer asap for ! max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a. the median of max’s data is 250 b. more than half of the data points max recorded were 177 centimeters. c. a data point chosen at random is as likely to be above the mean as it is to be below the mean. d. every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

As a salesperson you get $50/day and $3.60/each sales you make. if you want to make $60 in one day, how many sales would you need need to make ? a 3b 4c 5d 6 show work.

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)