![jolleyrancher78](/avatars/39285.jpg)
jolleyrancher78
25.03.2020 •
Mathematics
The bacterial strain Acinetobacter has been tested for its adhesion properties. A sample of five measurements gave read- ings of 2.69, 5.76, 2.67, 1.62 and 4.12 dyne-cm2. Assume that the standard deviation is known to be 0.66 dyne-cm2 and that the scientists are interested in high adhesion (at least 2.5 dyne-cm2). a. Should the alternative hypothesis be one-sided or two-sided
Solved
Show answers
More tips
- G Goods and services How to Choose a Bread Maker?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics In the figure, RXQ= 8x-1 RXS= 5x+28 QXS= 3x+5 find RXS...
- M Mathematics Which expressions are equivalent? 12 1 K 2 금사를 and- o k-i and - k+ 34-31 and 3-34 o fx-şi and şi-šx Sorry abt the random language it’s algebra...
- M Mathematics 2 times the difference of 5 and 3...
- M Mathematics Please help.. not really understanding this...
- M Mathematics What is the simplest radical form of 20...
Ответ:
Part a
We need to conduct a one tailed test
We need to conduct a hypothesis in order to check if the mean is higher than 2.5, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Part b: Calculate the statistic
We can replace in formula (1) the info given like this:
Part c :P-value
Since is a one sided test the p value would be:
Conclusion
If we compare the p value and the significance level assumed
we see that
so we can conclude that we have enough evidence to reject the null hypothesis, we can conclude that the true mean is higher than 2.5 at 1% of signficance.
Step-by-step explanation:
a. Should the alternative hypothesis be one-sided or two-sided?
b. Test the hypothesis that the mean adhesion is 2.5 dyne-cm².
c. What is the P-value of the test statistic?
Data given and notation
Data: 2.69, 5.76, 2.67, 1.62 ,4.12
We can calculate the sample mean with this formula:
t would represent the statistic (variable of interest)
Part a: State the null and alternative hypotheses.
We need to conduct a one tailed test
We need to conduct a hypothesis in order to check if the mean is higher than 2.5, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Part b: Calculate the statistic
We can replace in formula (1) the info given like this:
Part c :P-value
Since is a one sided test the p value would be:
Conclusion
If we compare the p value and the significance level assumed
we see that
so we can conclude that we have enough evidence to reject the null hypothesis, we can conclude that the true mean is higher than 2.5 at 1% of signficance.
Ответ:
2, 14
Step-by-step explanation:
Look at where the two lines intercept and then put the number 2 first in your answer because it it on the X axis and the X axis comes before the Y axis. Then put the number 14 next and it is on the Y axis.
Therefore you answer is 2, 14
Hope this helps! If you have any more questions or need further clarification on anything then please comment down below! Good luck!