Answer:
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-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:
Answer:
14.35 grams
Step-by-step explanation:
Amount left, in grams = (970 grams)(1.000 - 0.277)^m, where m is the number of minutes. This is exponential decay.
Amout left = (970 grams)(0.723)^13 = (970 grams)(0.01475), or 14.35 grams
Represent and then add up these consecutive, positive, even integers:
x + (x+2) + (x+4) + (x+6) = 116
Then 4x + 12 = 116, or 4x = 104. Then x=26.
First integer is 26; second is 28; third is 30; fourth is 32.
Add these up. If the sum = 116, you'll know these answers are correct.
Answer:
1 and 2, 3 and 4, 5 and 6, 7 and 8
Step-by-step explanation:
Supplementary angles are angles that add up to 180°. Since 180° would basically be a straight line, those angles are supplementary