For each of the following scenarios state whether h0 should be rejected or not. state any assumptions that you make beyond the information that is given.
(a) h0 : µ = 4, h1 : µ 6= 4, n = 15, x = 3.4, s = 1.5, α = .05.
(b) h0 : µ = 21, h1 : µ < 21, n = 75, x = 20.12, s = 2.1, α = .10.
(c) h0 : µ = 10, h1 : µ 6= 10, n = 36, p-value = 0.061.

It takes a total of 6 hours to fill up an inground backyard pool using a standard house. a function can represent this situation to represent the amount of water in the pool until it is full a function of time the hose is running. determine the domain for the function

Me 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.

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.