Hello,  can you please help me with this math problem.  Can you explain and show me step by step  of how to do this math problem.  Thank you. The annual earnings​ (in dollars) of 35 randomly selected microbiologists are shown in the data table. Use the data to​ (a) find the sample​ mean, (b) find the sample standard​ deviation, and​ (c) construct a​ 98% confidence interval for the population mean. 100,072, 79,789, 47,418, 91,794, 75,968, 80,907, 73,746, 99,313, 83,364 61,505, 78,153, 44,337, 81,407, 79,648, 82,721, 67,885, 87,264  92,453 63,544 , 51,826, 60,521, 63,891, 74,434, 67,571, 58,217,  74,730,  57,174,94,606, 54,999, 50,916 , 46,807,  66,302, 78,257, 60,290, 89,833 (a.) Find the sample mean.      ______  (Type an integer or decimal rounded to two decimal places as​ needed.) (b.)  Find the sample standard deviation.        ______  (Type an integer or decimal rounded to two decimal places as​ needed.) (c)  construct a 98% confidence interval for the population mean.       _______  ( rounded to two decimal​ places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
icon
Related questions
Question

Hello,  can you please help me with this math problem.  Can you explain and show me step by step  of how to do this math problem.  Thank you.

The annual earnings​ (in dollars) of 35 randomly selected microbiologists are shown in the data table. Use the data to​ (a) find the sample​ mean, (b) find the sample standard​ deviation, and​ (c) construct a​ 98% confidence interval for the population mean.

100,072, 79,789, 47,418, 91,794, 75,968, 80,907, 73,746, 99,313, 83,364 61,505, 78,153, 44,337, 81,407, 79,648, 82,721, 67,885, 87,264  92,453 63,544 , 51,826, 60,521, 63,891, 74,434, 67,571, 58,217,  74,730,  57,174,
94,606, 54,999, 50,916 , 46,807,  66,302, 78,257, 60,290, 89,833

(a.) Find the sample mean.

     ______  (Type an integer or decimal rounded to two decimal places as​ needed.)

(b.)  Find the sample standard deviation.

       ______  (Type an integer or decimal rounded to two decimal places as​ needed.)

(c)  construct a 98% confidence interval for the population mean.

      _______  ( rounded to two decimal​ places)

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill