Compute the value of the test statistic for the indicated test, based on the information given.
Testing H 0 : μ = 342 vs. H a : μ < 342, σ = 11.2, n = 40, x - = 339, s = 10.3
Testing H 0 : μ = 105 vs. H a : μ > 105, σ = 5.3, n = 80, x - = 107, s = 5.1
Testing H 0 : μ = − 13.5 vs. H a : μ ≠ − 13.5, σ unknown, n = 32, x - = − 13.8, s = 1.5
Testing H 0 : μ = 28 vs. H a : μ ≠ 28, σ unknown, n = 68, x - = 27.8, s = 1.3

#12 find the value of x. #13 find the value of the variable.

Shania's test scores in 8 subjects were 88, 91, 85, 74, 69, 72, 80, and 87. shania found the middle number of her scores. which type of measure did she find?

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.