Complete each expression to make its value equal to 9 (24 - ?)=2 29-(?x 5) ?(2 x 3)
1 answer:
The first unknown value is 6.
The second unknown value is 4.
The third unknown value is 54.
Step-by-step explanation:
Step 1:
To determine the unknown values, we assign variables to each expression.
Assume the first unknown value is x, the second unknown value is y, and the third unknown value is z.
We solve the expressions for x, y, and z.
Step 2:
Since all the expressions equal 9, we substitute the values with 9 on the RHS.
Step 3:
So the unknown values are 6, 4, 54.
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Answer:
Null hypothesis:
Alternative hypothesis:
Since we don't know the population deviation, 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:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z 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 is higher than 60, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we don't know the population deviation, 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: