Question

Find the z score corresponding to x = 75, μ = 80, and σ = 2.75. a. -1.82 b. -5 c. 1.82 d. 5 Find the raw score (x) corresponding to z = 2.6, μ = 80, and σ = 2.75. a. 74.65 b. 72.85 c. 85.35 d. 87.15 Determine the area under the standard normal curve greater than z = -2.41. a. 0.9920 b. 0.0080 c. 0.4920 d. 0.0219 Find the area under the standard normal curve between z = -1.31 and z = -1.01. a. 0.7487 b. 0.0611 c. 0.2513 d. 0.9389 Find the z score that cuts off the largest 9% under the standard normal curve. a. 1.28 b. -1.34 c. 0.536 d. 1.34 Find the raw scores that cut off the most extreme 5% under the normal distribution's curve that has a mean of 12 and standard deviation of 3.5. a. 5.14 and 18.86 b. ±1.96 c. 6.24 and 17.76 d. ±1.645 

          Find the z score corresponding to x = 75, μ = 80, and σ = 2.75.
a. -1.82 
b. -5 
c. 1.82 
d. 5

Find the raw score (x) corresponding to z = 2.6, μ = 80, and σ = 2.75.
a. 74.65 
b. 72.85 
c. 85.35 
d. 87.15

Determine the area under the standard normal curve greater than z = -2.41.
a. 0.9920 
b. 0.0080 
c. 0.4920 
d. 0.0219

Find the area under the standard normal curve between z = -1.31 and z = -1.01.
a. 0.7487 
b. 0.0611 
c. 0.2513 
d. 0.9389

Find the z score that cuts off the largest 9% under the standard normal curve.
a. 1.28 
b. -1.34 
c. 0.536 
d. 1.34

Find the raw scores that cut off the most extreme 5% under the normal distribution's curve that has a mean of 12 and standard deviation of 3.5.
a. 5.14 and 18.86 
b. ±1.96 
c. 6.24 and 17.76 
d. ±1.645
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Added by Todd F.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Find the z score corresponding to x = 75, μ = 80, and σ = 2.75. a. -1.82 b. -5 c. 1.82 d. 5 Find the raw score (x) corresponding to z = 2.6, μ = 80, and σ = 2.75. a. 74.65 b. 72.85 c. 85.35 d. 87.15 Determine the area under the standard normal curve greater than z = -2.41. a. 0.9920 b. 0.0080 c. 0.4920 d. 0.0219 Find the area under the standard normal curve between z = -1.31 and z = -1.01. a. 0.7487 b. 0.0611 c. 0.2513 d. 0.9389 Find the z score that cuts off the largest 9% under the standard normal curve. a. 1.28 b. -1.34 c. 0.536 d. 1.34 Find the raw scores that cut off the most extreme 5% under the normal distribution's curve that has a mean of 12 and standard deviation of 3.5. a. 5.14 and 18.86 b. ±1.96 c. 6.24 and 17.76 d. ±1.645
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Transcript

-
00:01 Hey there, welcome to numerade.
00:03 We are giving a series of questions here and relating to z scores and probabilities.
00:11 So let's start with our part a.
00:14 Find a z score here corresponding to our values.
00:18 So what we know here is that our z score equation we're going to be utilizing is x minus the population mean, divided by the population standard deviation.
00:31 So our x value in this case is 75 minus 80 divided by our population standard deviation 2 .75.
00:42 So let's see what we get here.
00:47 Giving us a c score of around negative 1 .82.
00:58 All right.
00:59 So let's try part b over here.
01:02 For part b, find a raw score corresponding to c score equals 2 .6.
01:09 So we're going to find the raw score here.
01:11 So we have z score 2 .6, multiplied by our standard deviation of 2 .75.
01:20 And then we're going to add our mean, which is 80.
01:26 And let's see what we get here.
01:29 2 .6 times 2 .75 plus 80 equals 87 .15.
01:44 All right.
01:46 And let's try part c over here.
01:50 So for part c, we have determined area under the standard normal curve in which we have the probability, where the z score is greater than negative 2 .41.
02:07 So we can directly use our z score probability table to find what is our area here, to greater than negative 2 .41.
02:18 So what we get here is a probability of 0 .9920.
02:32 Alright, so let's carry on to part d...
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