Answer:
Step-by-step explanation:
Given data and notation
indicates the sample mean
refers to the sample standard deviation
is the sample size
represents the value we are testing.
indicates the significance level for the hypothesis test.
t refers to the statistic of interest.
is the p-value for the test (the variable we are interested in).
Formulate the null and alternative hypotheses.
I will set up the hypotheses to verify if the mean weight falls below 4 ounces, formalizing:
Null hypothesis: 
Alternative hypothesis: 
Since our sample size is < 30 and the population standard deviation is unknown, it’s advisable to utilize a t test to compare the actual mean against the reference value, with the statistic calculated as follows:
(1)
t-test: "This test compares group means and is commonly utilized to determine if the mean is (greater than, less than, or not equal to) a specific value."
Calculate the statistic
We can substitute the provided information into formula (1):
The answer is A. 55. Explanation: For the 35%, take your 200 and divide it by 2 to yield two 100's. Since 35% equates to a portion of 100%, grab 35 from each 100 and sum them up to reach 70. For the proportion of 3/8, divide which results in 0.375 then multiply by 200 to ascertain that 75 are yellow tags. Adding 75 to 70 provides a total of 145, which when subtracted from 200 results in 55, indicating there are 55 red tags.
Answer:
50 Educators
Step-by-step explanation:
To tackle this question, the initial step is to calculate the amount of teachers prior to the addition of new staff. For this, I devised Model 1. In this model, teachers are positioned at the top of the ratio and students at the bottom. The variable X represents the number of teachers we are determining. Utilizing this model, I computed 2,100 multiplied by 1 (2,100) and then divided by 14 to conclude there were 150 teachers. Next, I formed a similar model with the updated student-teacher ratio (Model 2). This time, I multiplied 2,100 by 2 (which is 4,200) and divided by 21 to ascertain there are 200 teachers. Having established both the initial and the increased counts of educators, subtracting the original from the new gives you the tally of new teachers, which results in an increase of 50 teachers.
Response:
Step-by-step explanation:
Information given:
Objective:
Calculate the maximum and minimum values
The max value is found as follows:
The min value is identified as follows:
Answer:
23(6,8)(3,3)(13-3)(-3-)
Step-by-step explanation:
3-6=8-3
+13-3=
23
