Question
Asked Jul 5, 2019
11 views

In a normal distribution of pain estimates (0 = no pain, 100 = lots of pain) where μ = 25 and σ = 11, what percent of patients would you expect to estimate their pain above a 75? Round your answers to a whole percent.

check_circle

Expert Answer

Step 1

The given information is that the normal distribution of pain estimates with mean 25 and standard deviation is 11.

The percentage of the patients expects to estimate their pain above 75 is calculated as follows:

help_outline

Image Transcriptionclose

P(X>75)- PXu 75- X-u 75-25 11 = P 50 PZ> 11 P(Z>455) -1-P(Z 4.55) 1-(455)

fullscreen
Step 2

Using Z table for finding the cumulative function:

help_outline

Image Transcriptionclose

01 02 04 09 00 s000 5040 5080 5120 S160 S199 5239 5279 5319 5396 5438 5478 5517 57 5596 5636 5675 5714 5359 S753 0.1 02 5793 5832 5871 5910 5948 5987 6026 6064 61036141 03 6179 6217 6255 6293 0.4 6331 636864066443S80 517 6554 6591 6628 66460067366772 5808 44 9 0.5 6915 50 7019 7054 08 7123 7157 7190 224 0.6 7257 7291 7324 7357 389 2422 2454 246 3517 59 07 7580 7611 642 7673 7704 734 764 794 7823 7852 0.8 7881 910 939 %7 995 8023 8051 80788106 8133 09 8159 8186 8212 8238 254 8289 83158340 83658389 10413 43846146s 5085318554577 859962 11 643 665 8 8708 8729 8749 8770 790 810 12 49 869 888907 9258944 8962 980997 015 13 032 9049 9066 3082 0999115 9131 9147 9162 9177 14 9192 9207 9222 9236 9251 9265 9279 9292 9306 9319 15 9332 9345 9357 9370 9382 9394 9406 94189429 9441 16 9452 9463 9474 9404 495 505 9515 9625 9535 9645 9554 9564 9573 582 591599 9608 9616 96259633 18 9641 9649 656 64 671 9678 986 9693 9699 9706 19 9713 9719 725 9732 9738 9744 9750 97569761 9767 20 9772 9778 9783 9788 9793 9798 903 9808 9812 9817 21 98219826 98309834 9638s842 9846 ses0 98549857 22 9861 964 68 71 75 9878 981 4 87 90 23 9893 9896 98989901 99049906 99099911 9913 9916 24 9918 9920 9922 9925 9927 9929 9931 993299349936 25 99389940 9941 9943 9945 9946 99489949 951 9952 26 9953 9955 9956 9957 9959 9960 9961 9962 9963 996 27 99659966 99679968 99699970 9971 9972 9973 830 9974 28 9974 9975 9976 9977 9977 9978 9979 9979 9980 9981 29 981 962 982 963 9849984 985 985 986 986 3.0 9987 9967 9967 9968 988 9989 99 9989 990 9990 31 990 991 991 991 992 992 992 992 993 993 3.2 9993 993 994 994 994 94 994 995 995 9 33 9995 9995 995 996 996 996 996 996 996 997 3.4 9997 9997 9997 997 9997 9997 9997 997 9997 9998

fullscreen
Step 3

From the Z table, it can observe that the maximu...

help_outline

Image Transcriptionclose

Therefore, (4.55) nearly equal to 1 P(X>75) 1-1 0 Therefore, the probability value is approximatley 0

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of who...

A: (A)The sample mean and standard deviation is calculated below:

question_answer

Q: Consider the following multiple regression model :          y hat = -6.72 + 0.51x1 - 0.69x2 + 1.452x...

A: The given multiple regression model is as follows:

question_answer

Q: A random sample of 30 binomial trials resulted in 12 success. Test the claim that the population por...

A:  Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three s...

question_answer

Q: Select the statistic test that best fits each description. Study examining how much of the variation...

A: Regression:Regression analysis explains whether two variables are related or not and correlation exp...

question_answer

Q: A, B, C

A: a.The null and alternative hypotheses are:

question_answer

Q: An office has three smoke detectors. In case of fire, each detector has probability 0.9 of detecting...

A: Probability of at least one event occurring:It is given that there are three smoke detectors and eac...

question_answer

Q: 9.3 Question is in the attached picture.

A: a. Identifying whether the linear combination are contrast:Contrast:A contrast is linear combination...

question_answer

Q: Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted an...

A: Hey, since there are multiple subpart questions posted, we will answer first three subparts. If you ...

question_answer

Q: The Orchard Cafe has found that about 10% of the diners who make reservations don't show up. If 86 r...

A: The aim is to find the mean, µ, and standard deviation, σ of the binomial distribution.