A psychologist wants to test whether there is any difference in puzzle-solving abilities between boys and girls. Independent samples of twelve boys and fourteengirls were chosen at random. The boys took a mean of 37 minutes to solve a certain puzzle, with a standard deviation of 4.3 minutes. The girls took a mean of32 minutes to solve the same puzzle, with a standard deviation of 5.4 minutes. Assume that the two populations of completion times are normally distributed,and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that the mean puzzle-solving times for boys, µ, differs from themean puzzle-solving times for girls, µ,?Perform a two-tailed test. Then fill in the table below.Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis:H.The alternative hypothesis:H :0The type of test statistic:(Choose one) vThe value of the test statistic:(Round to at least threedecimal places.)The two critical values at the0.05 level of significance:(Round to at least threedecimal places.)||and|Can we conclude that the mean puzzle-solvingtimes for boys differs from the mean puzzle-solvingtimes for girls?YesNo

Name: A psychologist wants to test whether there is any difference in puzzl
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A psychologist wants to test whether there is any difference in puzzle-solving abilities between boys and girls. Independent samples of twelve boys and fourteengirls were chosen at random. The boys took a mean of 37 minutes to solve a certain puzzle

The test is to check whether or not there is any difference in puzzle-solving abilities between boys…

Answered: A psychologist wants to test whether…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

100%

A psychologist wants to test whether there is any difference in puzzle-solving abilities between boys and girls. Independent samples of twelve boys and fourteen
girls were chosen at random. The boys took a mean of 37 minutes to solve a certain puzzle, with a standard deviation of 4.3 minutes. The girls took a mean of
32 minutes to solve the same puzzle, with a standard deviation of 5.4 minutes. Assume that the two populations of completion times are normally distributed,
and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that the mean puzzle-solving times for boys, µ, differs from the
mean puzzle-solving times for girls, µ,?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis:
H.
The alternative hypothesis:
H :0
The type of test statistic:
(Choose one) v
The value of the test statistic:
(Round to at least three
decimal places.)
The two critical values at the
0.05 level of significance:
(Round to at least three
decimal places.)
||and|
Can we conclude that the mean puzzle-solving
times for boys differs from the mean puzzle-solving
times for girls?
Yes
No

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

Where did the numbers 12 and 14 come from?

Solution

by Bartleby Expert

SEE SOLUTION

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

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

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc