Which type of data is best represented by a circle graph? A. changes in data over time B. data sets with some common elements C.
2 answers:
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Answer:
the probability of a Type II error if in fact the mean waiting time u, is 9.8 minutes is 0.1251
Option A) is the correct answer.
Step-by-step explanation:
Given the data in the question;
we know that a type 11 error occur when a null hypothesis is false and we fail to reject it.
as in it in the question;
obtained mean is 9.8 which is obviously not equal to 8.3
But still we fail to reject the null hypothesis says mean is 8.3
Hence we have to find the probability of type 11 error
given that; it is right tailed and o.5, it corresponds to 1.645
so
z is equal to 1.645
z = (x-μ)/
where our standard deviation s = 3.8
sample size n = 50
mean μ = 8.3
we substitute
1.645 = (x - 8.3)/
1.645 = (x - 8.3) / 0.5374
0.884023 = x - 8.3
x = 0.884023 + 8.3
x = 9.18402
so, by general rule we will fail to reject the null hypothesis when we will get the z value less than 1.645
As we reject the null hypothesis for right tailed test when the obtained test statistics is greater than the critical value
so, we will fail to reject the null hypothesis as long as we get the sample mean less than 9.18402
Now, for mean 9.8 and standard deviation 3.8 and sample size 50
Z = (9.18402 - 9.8)/
Z = -0.61598 / 0.5374
Z = - 1.1462 ≈ - 1.15
from the z-score table;
P(z<-1.15) = 0.1251
Therefore, the probability of a Type II error if in fact the mean waiting time u, is 9.8 minutes is 0.1251
Option A) is the correct answer.
OPTIONS:
*The slope of the graph of the table is 1 more than the slope of the graph of the equation.
*The slope of the graph of the table is 2 more than the slope of the graph of the equation.
*The slope of the graph of the equation is 2 more than the slope of the graph of the table.
*The slope of the graph of the equation is 1 more than the slope of the graph of the table.
Answer:
The slope of the graph of the equation is 1 more than the slope of the graph of the table.
Step-by-step explanation:
The slope in the equation of the function, y = 3x + 2, is identified as 3.
We know this because, the equation for the function was given in the slope-intercept form, y = mx + b, where m represents the slope.
Therefore, the slope of the function is 3.
The slope of the function represented by the table of values can be calculated using any two given pairs on the table.
Using (1, 6) and (3, 10):
Slope of the function represented by the table of values is 2.
Therefore, comparing the slope of both functions, we can conclude that:
✅"The slope of the graph of the equation is 1 more than the slope of the graph of the table."