What is the corresponding percentile and x-value that hasa z-score=-2. 3 with mean =100 and standard deviation =10?​.

Sagot :

Answer:

X value= 77

Percentile: 99th

Step-by-step explanation:

to find the x value:

[tex]x - μ + z(σ) \\ = 100 + ( - 2.3)(10) \\ = 100 - 23 \\ x = 77 \\ [/tex]

to find the percentile:

[tex]z = \frac{77 - 100}{10} \\ = \frac{23}{10} \\ z = 2.3 \\ [/tex]

find 2.3 in the z table. the value is .9892.

convert it to percent: 98.92%

round off 98.9, the answer is 99th percentile.

P.S. cumulative z table ginamit ko dito

P.S. alam mo ba 'yung answer ko sa module hindi ko na round off huhuhu buti pa dito sa brainly na round off ko huhu naiiyaq aq.