![igocrazy594](/avatars/7011.jpg)
igocrazy594
30.11.2019 •
Mathematics
The label on 1-gallon can of paint states that the amount of paint in the can is sufficient to paint at least 400 square feet (on average). suppose the amount of coverage is approximately normally distributed, and the overall standard deviation of the amount of coverage is 27 square feet. a random sample of 16 cans yields the sample mean amount of coverage of 390 square feet. test the claim on the label at a 5% level of significance. enter the test statistic in the first box and your decision in the second box (0 if you reject and 1 if you don't (i.e if you accept) find the p value of the test in part (a)
Solved
Show answers
More tips
- S Science and Technology Discovering the Anatomy of an LCD TV Screen...
- F Family and Home How to Raise a Genius? Discover the Secrets Here...
- F Food and Cooking How to Properly Cook Buckwheat?...
- H Health and Medicine How to Tan in a Tanning Bed? Tips and Recommendations...
- S Style and Beauty How to Sew a Balloon Skirt: Detailed Tutorial and Tips on Choosing the Right Fabric...
- P Philosophy Personal attitude towards Confession: how to prepare and undergo the procedure correctly?...
- F Food and Cooking How to Make Cottage Cheese at Home: Simple and Quick Recipe with Step By Step Instructions...
- H Health and Medicine Which Water Are You Drinking? Is it Worth Buying Bottled Water?...
- H Health and Medicine What Makes a Man a Man?...
- H Health and Medicine What to Take with You to the Maternity Hospital?...
Answers on questions: Mathematics
- M Mathematics John and jane are married. the probability that john watches a certain television show is .5. the probability that jane watches the show is .5. the probability that john watches...
- M Mathematics Asupervisor has determined that the average salary of the employees in his department is $40,000 with a standard deviation of $15,000. a sample of 25 of the employees’ salaries...
- M Mathematics 5. what percentage of the runs will give the delorean a speed less than 68.45 mph?...
- M Mathematics 5. during the eruption of mount st. helens in 1980. debris was ejected at a speed of over 440 feet per second (300 miles per hour). the elevation in feet above sea level of a...
- M Mathematics An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing 120lb and 171lb. the new population of pilots has normally distributed...
- M Mathematics Abaseball is struck by a batter at an angle such that it reaches its maximum height at the location of the pitcher – and just grazes the top of the pitcher’s head (at an elevation...
- M Mathematics Xavier spent $84 on art supplies. the canvas for each of his paintings is an additional $1. he plans to sell his paintings for $8. write an expression that could be used to find...
- M Mathematics Slopes and intercepts (-4,-3) (-1,3)...
- M Mathematics 1. I need all these answers ?...
- M Mathematics I need help with this question please!...
Ответ:
If we compare the p value and the significance level given
we see that
so we can conclude that we FAIL reject the null hypothesis, so is not enough evidence to conclude that the sample mean is less then 400 at 5% of significance.
Step-by-step explanation:
Data given and notation
z would represent the statistic (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the compact microwave oven consumes a mean of no more than 250 W:
Null hypothesis:
Alternative hypothesis:
We know the population deviation, so for this case 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".
Calculate the statistic
We can replace in formula (1) the info given like this:
Calculate the critical value
The critical value for this case would be :
The value of a that satisfy this on the normal standard distribution is a=-1.64 and would be the critical value on this case zc=-1.64.
Calculate the P-value
Since is a one-side upper test the p value would be:
Conclusion
If we compare the p value and the significance level given
we see that
so we can conclude that we FAIL reject the null hypothesis, so is not enough evidence to conclude that the sample mean is less then 400 at 5% of significance.
Ответ:
Lets Reduce:
21/7=3 so we know for every 3 in 18/21 we have one in x/7
This means 6/7=18/21
Check:
18/6=3
21/7=3