A machine set up to fill a single dose of medication used in eye surgery is programmed to put an average of o ml. (shown on right) in each dose. In order to validate that the machine has been programmed correctly, a random sample of n (shown on right) doses was taken at the start of a production run resulting in a sample mean, X-bar (shown on right), and sample standard deviation, s (shown on right). If the Null Hypothesisfor a two tailed test is Ho: x = o what would the p-value be for this two tailed hypothesis test if the sample value for the standardized test statistic is Z (shown on right)?

n = 81

s =5

X-bar=4.5

Ho: _x= _o= 4

? =0.05

Z =0.9

The power curve for a two tailed single mean hypothesis test depicts the probability that you reject the null hypothesis for a given value of the true mean, ?1 (shown on right).Given the null hypothesis (shown on right), sample size n (shown on right), and level of significance ? (shown on right), what is the P(Reject Ho / ?x = ?1).In other words, what is the probability that you reject Ho if the true mean was equal to ?1?

?₁=40

Ho: _x= 40

n =65

? =0.01

A machine, set up to fill a single dose of medication used in eye surgery, is programmed to put an average of o ml. (shown on right) in each dose. In order to validate that the machine has been programmed correctly, a random sample of 40 doses was taken at the start of a production run and the two tailed null hypothesesHo: x = o (shown on right) conducted at a ? level of significance (shown on right). If the upper and lower critical values for the unstandardized test statistic, X-bar, were calculated to be LCVand UCV (shown on right), identify the value on the X-axis for A, B, C, D, OR E shown on the right (x-axis value = ??).

Ho: ?_x= ?_o= 15

? =0.05

UCV = 17

LCV = 13

x-axis value= E

\f