![christiannpettyy](/avatars/3712.jpg)
christiannpettyy
24.06.2020 •
Mathematics
A study is done to determine if students in the California state university system take longer to graduate than students enrolled in private universities. 100 students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5591 years and 1 year, respectively. Suppose the following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.8. The private university students took on average 4.1 years with a standard deviation of 0.3. Conduct a hypothesis test at the 5% level.
Solved
Show answers
More tips
- F Family and Home What is a Smart Home System and How Does it Work?...
- F Food and Cooking Do Aphrodisiacs Really Work? Separating Fact from Fiction...
- C Computers and Internet Log-in: what is it and why do you need it?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
Answers on questions: Mathematics
- M Mathematics If you draw a single card once from a deck of ordinary p laying ca rds, w hat is t he pro bability t hat i t will be a. The ace of diamonds? b. A 10? c. A queen or a heart?...
- M Mathematics Whats your name?my name is...
- M Mathematics What is 73 Times 5 equal...
- M Mathematics A ladder leans against a side of a building, making a 63-degree angle with the ground, and reaching over a fence that is 6 feet from the building. The ladder barely touches...
- M Mathematics Find the value of k that would make the left side of the eequatios a perfect square trinomial. value of k that would make the left side of the equation a perfect square...
- M Mathematics Which is an exponential decay function? | F(x) = 6 of x) = )* F = 39 flm =(-3)...
- M Mathematics The average rate of change of f(x) over the interval [0, 3] is given by the formula . The value of f(3) is . The value of f(0) is . The average rate of change of f(x) over...
- M Mathematics Pre-Test Active The equation cost Gid) = x can be used to determine the measure of angle BAC. OOO 2s 3.4 cm 10 cm...
- M Mathematics Tems produced by a manufacturing process are supposed to weigh 90 grams. However, there is variability in the items produced, and they do not all weigh exactly 90 grams....
- M Mathematics A method for modifying variables that reduces bias prior to cluster analysis is a. removing outliers. b. standardization. c. weighting. d. randomizing....
Ответ:
There is enough evidence to support the claim that students in the California state university system take significantly longer to graduate than students enrolled in private universities (P-value = 0.0007).
Step-by-step explanation:
This is a hypothesis test for the difference between populations means.
The claim is that students in the California state university system take significantly longer to graduate than students enrolled in private universities.
Then, the null and alternative hypothesis are:
The significance level is α=0.05.
The sample standard deviation is take into account and performed a two sample t-test. The 100 students are considered to be divided equally between state and private.
The sample 1 (state), of size n1=50 has a mean of 4.5 and a standard deviation of 0.8.
The sample 2 (private), of size n2=50 has a mean of 4.1 and a standard deviation of 0.3.
The difference between sample means is Md=0.4.
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this test are:
This test is a right-tailed test, with 98 degrees of freedom and t=3.3104, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.0007) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that students in the California state university system take significantly longer to graduate than students enrolled in private universities.
Ответ:
Question:
Which is the value of the expression
A. 1
B. 2
C. 8
D. 10
B. 2
Step-by-step explanation:
Given
Required
Evaluate
Split Fraction
From Laws of Indices
Applying this law to the above expression, we have
Also, from Laws of Indices
Applying this law to the above expression, we have
Multiply 10 by 1
Hence,