Answer:
We are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%
Step-by-step explanation:
We are given that in a group of randomly selected adults, 160 identified themselves as executives.
n = 160
Also we are given that 42 of executives preferred trucks.
So the proportion of executives who prefer trucks is given by
p = 42/160
p = 0.2625
We are asked to find the 95% confidence interval for the percent of executives who prefer trucks.
We can use normal distribution for this problem if the following conditions are satisfied.
n×p ≥ 10
160×0.2625 ≥ 10
42 ≥ 10 (satisfied)
n×(1 - p) ≥ 10
160×(1 - 0.2625) ≥ 10
118 ≥ 10 (satisfied)
The required confidence interval is given by
Where p is the proportion of executives who prefer trucks, n is the number of executives and z is the z-score corresponding to the confidence level of 95%.
Form the z-table, the z-score corresponding to the confidence level of 95% is 1.96
Therefore, we are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%
The given variable is a continuous variable.
<h3>What is
continuous variable?</h3>
A quantitative variable can be either continuous or discrete depending on whether it is normally obtained through measurement or counting. A variable is continuous over a range of real values if it can take on any two specific real values and all other real values in between.
<h3>What is mercury thermometer?</h3>
In Amsterdam, physicist Daniel Gabriel Fahrenheit created the mercury thermometer, also known as a mercury-in-glass thermometer. It consists of a glass tube with a small diameter and a mercury bulb attached to it; the bulb contains far more mercury than the tube does.
<h3>According to the information:</h3>
A mercury thermometer was used to take the subject's temperature.
Because of the temperature:
- Not counting but measuring it.
- You can use a decimal number to represent its value.
- As a result, it is open to any value inside an interval.
- Temperature is therefore a continuous variable.
- The only format in which discrete values can be stated is as whole numbers.
so
Temperature is a continuous variable,
To know more about continuous variable visit:
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Answer:
20,100 I think
Step-by-step explanation:
Answer:
YZ= 2.8
Step-by-step explanation:
3n+5=8n-9
-3n -3n
5=5n-9
+9. +9
14=5n
14÷5
2.8=n
