QUESTION

Can someone please answer these questions that is due 4/23/18 @ 4pm please thank you Chapter 6, Section 4-HT, Exercise 211 Use the t -distribution

Chapter 6, Section 4-HT, Exercise 211

Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.

Test H0 : μA=μB

vs Ha : μA≠μB

using the fact that Group A has 8 cases with a mean of 125 and a standard deviation of 18 while Group B has 15 cases with a mean of 118 and a standard deviation of 14.

(a) Give the test statistic and the p-value.

test statistic =

Enter your answer in accordance to item (a) of the question statement

p-value =

Enter your answer in accordance to item (a) of the question statement

(b) What is the conclusion of the test? Test at a 10%

level.

Reject H0

.

Do not reject H0

.

Chapter 6, Section 4-HT, Exercise 213

A study1 randomly assigned students to take notes either longhand or using a laptop. The resulting scores of the students on a test of the material are given in the table below. Does the data provide evidence that it is more effective to take notes longhand rather than on a laptop?

Note-takingn

s

Longhand38

25.6

10.8

Laptop40

18.3

9.0

Table 1: Summary statistics for test scores after taking notes longhand or on a laptop

Let group 1

and group 2

be the score on the test for those taking notes by hand and those taking notes on a computer, respectively.

Calculate the relevant test statistic.

t

-statistic=

the absolute tolerance is +/-0.02

Find the p

-value.

p

-value =

the absolute tolerance is +/-0.0005

What is the conclusion?

Reject H0

.

Do not reject H0

.

Do we have evidence to conclude that it is more effective to take notes longhand?

Yes

No