Blood potassium level, continued. judy’s measured potassium level varies according to the normal distribution with with μ=3.8 and σ=0.2mmol/l. let’s consider what could happen if we took 4 separate measurements from judy. what is the blood potassium level l such that the probability is only 0.05 that the average of 4 measurements is less than l? (hint: this requires a backward normal calculation.)

the book says about 3.64 but i got 3.28

The value of l = 3.64

Step-by-step explanation:

Consider the provided information.

μ=3.8 and σ=0.2mmol/l and n=4

As we know

We have given α = 0.05

So by the standard normal table:

Compute

Hence, the value of l = 3.64

step-by-step explanation:

when the line is solid:

when the line is dashed:

this > inequality sign means:

this < inequality sign means:

this > inequality sign means:

this < inequality sign means:

about the problem:

srry i'm not done ! i'll