A computer scientist is investigating the usefulness of twodifferent design languages in improving programming tasks. Twelve expert programmers, familiar with both languages, are askedto code to code a standard function in both languages, and asked tocode a standard function in both languages, and time (in minutes)is recorded. The data follow: Programmer123456789101112Design Language 1 Design Language 217152115182417142123Time1318181419112221101319241520 (a) Is the assumption that the difference in coding time is normally distributed reasonable?(b) Find a 95% confidence interval on the difference in mean coding times. Is there significant indication that one design language ispreferable at a 5% significance level?i≤ MD ≤ i. Round your answer to 3 decimal places (e.g. 98.765).

The question is about hypothesis testingto find :a) Is it reasonable to assume that the difference…

(a) Is the assumption that the difference in coding time is normally distributed reasonable? (b) Find a 95% confidence interval on the difference mean coding times. Is there significant indication that one design language is preferable at a 5% significance level? i ≤ MD= i Round your answer to 3 decimal places (e.g. 98.765).

(a) Is the assumption that the difference in coding time is normally distributed reasonable? (b) Find a 95% confidence interval on the difference mean coding times. Is there significant indication that one design language is preferable at a 5% significance level? i ≤ MD= i Round your answer to 3 decimal places (e.g. 98.765).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

A computer scientist is investigating the usefulness of twodifferent design languages in improving programming tasks. Twelve expert programmers, familiar with both languages, are askedto code to code a standard function in both languages, and asked tocode a standard function in both languages, and time (in minutes)is recorded. The data follow:

Programmer
1
2
3
4
5
6
7
8
9
10
11
12
Design Language 1 Design Language 2
17
15
21
15
18
24
17
14
21
23
Time
13
18
18
14
19
11
22
21
10
13
19
24
15
20

(a) Is the assumption that the difference in coding time is normally distributed reasonable?
(b) Find a 95% confidence interval on the difference in mean coding times. Is there significant indication that one design language is
preferable at a 5% significance level?
i
≤ MD ≤ i
. Round your answer to 3 decimal places (e.g. 98.765).

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

Expert Solution