xxcecccc
05.05.2020 •
Mathematics
Listed below are the lead concentrations in mu ??g/g measured in different traditional medicines. Use a 0.10 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than 17 17 mu ??g/g. 6.5 18.5?21.5?5.5?8.5?4.5?4.5?17.5 15.5 20
What are the null and alternative? hypotheses?
A. Upper H0?: mu ? =17 mu ??g/g Upper H1?: mu ? ? 17 mu ??g/g
B. Upper H0?: mu > 17 mu ??g/g Upper H1?: mu ? < 17 mu ??g/g
C. Upper H0?: mu ? = 17 mu ??g/g Upper H1?: mu ? < 17 mu ??g/g
D. Upper H0?: mu ? = 17 mu ??g/g Upper H1?: mu ? > 17 mu ??g/g
Determine the test statistic. nothing ?(Round to two decimal places as? needed.)
Determine the? P-value. nothing ?(Round to three decimal places as? needed.)
State the final conclusion that addresses the original claim. ? Fail to reject Reject Upper H 0 H0. There is ? sufficient not sufficient evidence to conclude that the mean lead concentration for all such medicines is ? less than equal to greater than not 17 17 mu ??g/g.
Solved
Show answers
More tips
- S Style and Beauty How to braid friendship bracelets?...
- S Style and Beauty Learn how to tie a keffiyeh on your head like a pro...
- F Food and Cooking Delight for Gourmets: How to Prepare Liver Pate...
- C Computers and Internet How to Learn to Type Fast?...
- H Health and Medicine Angina: Causes, Symptoms, and Treatment...
- D Dating, Love, Relationships How to Overcome Jealousy: Tips and Tricks...
- H Health and Medicine 10 Ways to Cleanse Your Colon and Improve Your Health...
- W Work and Career How to Start Your Own Business: Tips and Recommendations...
- F Food and Cooking How to Make Delicious Cabbage Pies: The Best Recipes!...
- F Food and Cooking Discover Delicious Recipes You Can Make with Ground Meat...
Answers on questions: Mathematics
- M Mathematics I will give you a crown if it is right. Will you help me...
- M Mathematics In a large statistics class, the final grades have a mean of 67.4 and a standard deviation of 12. Assuming that the distribution of these grades is normal, what percentage of grades...
- M Mathematics For each calculation choose the correct answer written in standard form. a) (7 * 10%) * (3 x 10) А B 21 x 100 21 x 10 с 2.1 x 10 D 2.1 x 10 b) (2 * 10%) = (4 * 10) А 2* 10 B 5 x 10...
- M Mathematics Its a simple RSM question that I can t get, please help WILL GIVE BRAINLIEST...
- M Mathematics A textbook store sold a combined total of 373 sociology and psychology textbooks in a week. The number of psychology textbooks sold was 43 less than the number of sociology textbooks...
Ответ:
We conclude that the mean lead concentration for all such medicines is less than 17 mu.
Step-by-step explanation:
We are given below are the lead concentrations in mu;
6.5 18.5 21.5 5.5 8.5 4.5 4.5 17.5 15.5 20
We have to test the claim that the mean lead concentration for all such medicines is less than 17 mu.
Let = mean lead concentration for all such medicines.
So, Null Hypothesis, : = 17 mu {means that mean lead concentration for all such medicines is equal to 17 mu}
Alternate Hypothesis, : < 17 mu {means that the mean lead concentration for all such medicines is less than 17 mu}
The test statistics that would be used here One-sample t test statistics as we don't know about population standard deviation;
T.S. = ~
where, = sample mean lead concentration = = 12.25 mu
s = sample standard deviation = = 6.96 mu
n = sample size = 10
So, test statistics = ~
= -2.16
The value of t test statistics is -2.16.
Now, the P-value of the test statistics is given by the following formula;
P-value = P( < -2.16) = 0.031
Now, at 0.10 significance level the t table gives critical value of -1.383 for left-tailed test. Since our test statistics is less than the critical value of t as -2.16 < -1.383, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the mean lead concentration for all such medicines is less than 17 mu.
Ответ: