![keshastar82810](/avatars/19970.jpg)
keshastar82810
06.05.2021 •
Mathematics
A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, calculate the z-score for a student who spends less than 12 hours in class?
Solved
Show answers
More tips
- H Health and Medicine How does childbirth happen: everything future mothers need to know...
- H Horoscopes, Magic, Divination Is there a 13th Zodiac Sign?...
- H Health and Medicine Want to Lose Weight? Gain Muscle without Damaging Your Health!...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
Answers on questions: Mathematics
- M Mathematics Describe and correct the error in solving the system of linear equations...
- M Mathematics Help, please will put brainiest 20 ponits...
- M Mathematics The measures of two complementary angles are m 1 = 16z- 9 and m 2 = 4z - 1. Find m 2...
- M Mathematics : Which step will solve the equation x + 8 = 12? Add 8 to both sides of the equation Subtract 8 from both sides of the equation Add 12 to both sides of the equation Subtract...
- M Mathematics I need help with this please...
- M Mathematics What is the volume of the cone? Use 3.14 for π, and round to the nearest tenth....
- M Mathematics The measures of two complementary angles are m 1 = 162 - 9 and m 2 = 4z - 1. Find m 2....
- M Mathematics Which expression represents 3/8 less than 7/8 of a number?...
- M Mathematics si 12kg de papas y seis kg de arroz cuentan 102.00 mientras que 9 kg de papas y 13 kilogramos de arroz cuestan 153.00¿cuanto cuesta cada producto?...
- M Mathematics consider two consecutive postive integers such that the square of the second integer added to 6 times the first is equal to 85...
Ответ:
The p value obtained was a very low value and using the significance level given
we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of the chips that do not fail in the first 1000 hours of their use is higher than 0.51 or 51% (Company's claim).
Step-by-step explanation:
1) Data given and notation n
n=1600 represent the random sample taken
X=represent the number of the chips do not fail in the first 1000 hours of their use
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that more than 51% do not fail in the first 1000 hours of their use, the system of hypothesis on this case would be:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
The One-Sample Proportion Test is used to assess whether a population proportion
is significantly different from a hypothesized value
.
3) Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
4) Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided
. The next step would be calculate the p value for this test.
Since is a upper right tailed test the p value would be:
So the p value obtained was a very low value and using the significance level given
we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of the chips that do not fail in the first 1000 hours of their use is higher than 0.51 or 51%.