A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Upper H Subscript 0 Baseline colon mu equals 175 millimeters versus Upper H Subscript 1 Baseline colon mu greater-than 175 millimeters, using the results of n equals 4 samples. Calculate the P-value if the observed statistic is

The p-value of the observed statistic is 0.15866

Step-by-step explanation:

The given parameters of the system are;

The standard deviation of the foam height, σ = 20 mm

The null hypothesis, H₀; μ = 175 mm

The alternative hypothesis, Hₐ; μ > 175 mm

The number of observations that make the sample, n = 4

The observed statistic, = 185

The test statistic is given as follows;

Therefore, we get;

P(Z > 1) = 1 - P(Z < 1) = 1 - 0.84134 = 0.15866

The p-value of the observed statistic = 0.15866

the answer to the question is a

step-by-step explanation:

it has the same slope and the same y-intercept.

y + 11 = -7/9(x - 18)

y + 11 =-7/9x + 14

b

y = -7/9x + 3

y-intercept (0, 3)

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,