Determine the area under the standard normal curve that lies to the right of the following z score. Use a table if necessary. Round your answer to four decimal places.

z = –1.62

Question

Determine the area under the standard normal curve that lies to the right of the following z score. Use a table if necessary. Round your answer to four decimal places.

z = –1.62

goformit100 · Answer

Madam is the Question Comple, it seems that some more data are required for solving the answer.

anonymous · Answer

That's the whole question

goformit100 · Answer

Ok then let me and @nader1 try it.

anonymous · Answer

Lies to the right....

anonymous · Answer

Do you have a standard normal table? This can also be calculated precisely using a calculator that has statistics functions.

anonymous · Answer

So clearly we know: $$
\Phi(z)
$$Is the area to the left, and we know that the total area is $1$.

anonymous · Answer

http://www.danielsoper.com/statcalc3/calc.aspx?id=2 It gave a value correct to 7 decimal places. My TI-84 computes it out to 10 places. Most statistical tables will only provide 4 or 5 decimal digits of accuracy, which is usually sufficient.

anonymous · Answer

So the area to the right is just: $$
1-\Phi(z) = 1-\Phi(-1.62)
$$

anonymous · Answer

You find $\Phi(z)$ by looking up $z$ in a $z$-table.

anonymous · Answer

@bcaronna Does this make sense?

anonymous · Answer

you will find z=1.57

anonymous · Answer

yeah I think so.. it's that easy? so what if it were asking for the are to the left?

anonymous · Answer

Okay, once again.

The area to the left is: $$
A_{left}=\Phi(z)
$$The total area is $$
A_{total}=1$$The total area is the sum of the right and left areas: $$
A_{left}+A_{right} =A_{total} \implies \Phi(z) + A_{right} = 1 \implies A_{right}= 1-\Phi(z)
$$

anonymous · Answer

how do I find Φ(z)

anonymous · Answer

what is Φ ?

anonymous · Answer

is the answer .9473 ?

anonymous · Answer

z=1.57 the answer

anonymous · Answer

that's the area under that standard normal curve?

anonymous · Answer

yea

anonymous · Answer

@msumner 
@msumner 
@msumner

anonymous · Answer

that doesn't make sense. 0.05261614 is what I got when I put -1.62 into the link you sent me

anonymous · Answer

so isn't it 1 - 0.05261614

anonymous · Answer

it impossible z= -1.62

anonymous · Answer

you should findthat z  =1.57

anonymous · Answer

how ??? it literally says in the original problem that z = -1.62

anonymous · Answer

are you sure it is -.1.62?

anonymous · Answer

bro, scroll up and look at the problem it says z = -1.62

anonymous · Answer

because people have same given but z =1.57 it work with link mmm that strange let me see then

anonymous · Answer

lol never mind man I figured it out thank you anyways