Question
Asked Dec 9, 2019
10 views

Ten COS Math 21 students were asked how many hours they studied for their final. Here are their responses.

8 10 12 7 9 13 8 10 14 10

Twelve COS Math 200 students were asked the same questions. Here are their responses. 6 7 5 8 10 6
8 5 0 11 9 6

At the 0.05 level of significance, test the claim that the mean number of hours studied by Math 21 students is greater than the mean number of hours studied by Math 200 students.

check_circle

Expert Answer

Step 1

Solution:

It is given that the number of samples of Math 21 students is 10 and number of samples of Math 200 students is 12.

Level of significance value is 0.05.

The sample mean of Math 21 students is obtained below:

 x̄1=(sum of all observations)/sample size=10.1.

The sample mean of Math 200 students is obtained below:

 x̄2=(sum of all observations)/sample size=6.75.

Step 2

The sample standard deviations of Math 21 students and Math 200 students are obtained below:

The s1 and s2 be the sample standard deviations of Math 21 students and Math 200 students.

help_outline

Image Transcriptionclose

Σκ-3). S = п-1 (8–10.1)° +(10 –10.1)° + .+ (10 – 10.1) .. 10 -1 = 2.283 Σ(-) х— х, S2 п-1 |(6-6.75) +(7-6.75)' + .+ (6 – 6.75) 12 –1 = 2.864 || ||

fullscreen
Step 3

The null and alternative hypotheses are given below:

Let µ1 be the mean of Math 21 students and µ2 be the mean of Math 200 students

Null hypothesis:

H0:µ1= µ2

Alternative hypothesis:

H1:µ1>µ2

...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Consider a normal distribution with mean 30 and standard deviation 10. What is the probability a val...

A: Z table gives us probability for Z< z z in this case is 0 as caclculated below.Therefore, the pro...

question_answer

Q: The president of a college wants to determine the mean number of units that college students take pe...

A: From the given information, the population standard deviation is 2.1 units, the confidence level is ...

question_answer

Q: A student wanted to construct a 99% confidence interval for the mean age of students in her statisti...

A: Solution:From the given information, number of students is 9 and confidence level is 99%, sample mea...

question_answer

Q: 6.46. The joint density of X and Y is f(x, y) = c(x? – y²)e¯ 0<x < ∞, - x <y <a Find the conditional...

A: From the given information, the joint density function for X and Y is,

question_answer

Q: Can you do Problem 2 questions (a) and (b)?

A: (a) The first quartile of the given funds is 513.201 and it is calculated by using the Excel functio...

question_answer

Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The valv...

A: Null hypothesis:µ=7.8.Alternative hypothesis:µ&lt;7.8.Here, the sample mean, x-bar is 7.7.Population...

question_answer

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the da...

A: Regression:In order to obtain the least square regression line, first perform regression analysis on...

question_answer

Q: Potential buyers for a new car were randomly divided into two groups. One group was shown the "A" ve...

A: Here, the potential buyers for a new car were divided into two groups. The researcher wants to compa...

question_answer

Q: A sociologist is studying the age of the population in Blue Valley. Ten years ago, the population wa...

A: (i) Null Hypothesis: There is no sufficient evidence that age distribution of the population of Blue...