First you want to put them in order from least to greatest.
65, 72, 74, 75, 86, 89, 93, 95, 96, 97, 100.
Now you count the numbers on the left and right until you get to the middle, there is an uneven number so therefor you wont have to do any extra math.
65, 72, 74, 75, 86, 89, 93, 95, 96, 97, 100. there is 5 on each side 89 being the median.
Now moving onto the mode. You will need all of them for this not taking out the ones of there being multiple.
95, 95, <span>96, 100, </span>86, 75, 75, 75, 74, 72, 89, 97, 93, 65
You need to find the number that there is the most of to find the mode. to do this keep score of how many of each of the numbers there is
95, 95, 96, 100, 86, 75, 75, 75, 74, 72, 89, 97, 93, 65 The most commonly occuring number is 75 in this dataset.
Reviewing our answers.
In the end the median is 89 and the mode is 75
Answer:
The p value is a very low value and using any significance level for example always so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of proportion of hotel guests requesting nonsmoking rooms has increased.
Step-by-step explanation:
1) Data given and notation
represent the number of requested nonsmoking rooms before
represent the number of requested nonsmoking rooms after
sample of number of requested nonsmoking rooms before
sample of number of requested nonsmoking rooms after
represent the proportion of requested nonsmoking rooms before
represent the proportion of requested nonsmoking rooms after
z would represent the statistic (variable of interest)
represent the value for the test (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to check if the proportion of requested nonsmoking rooms after is higher then the proportion before , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We need to apply a z test to compare proportions, and the statistic is given by:
(1)
Where
3) Calculate the statistic
Replacing in formula (1) the values obtained we got this:
4) Statistical decision
For this case we don't have a significance level provided , but we can calculate the p value for this test.
Since is a one side test the p value would be:
So the p value is a very low value and using any significance level for example always so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of proportion of hotel guests requesting nonsmoking rooms has increased.
Answer:
(2z)^3 or 8z^3
Step-by-step explanation:
"double z:" 2z
"raise the result (2z) to the third power:" (2z)^3 or 8z^3
Answer:
The rate of change of the divers elevation is approximately 24.71 feet/minute
Step-by-step explanation:
The given information are;
The depth to which the scuba diver dove =
The rate at which he dove = -21.3 feet/minute
The time which he spent at that elevation = 10.5 minutes
The elevation the diver then ascended to =
The total time for the dive =
Therefore, the time, , with which the scuba diver descended to is given as follows;
The time, , it took the scuba diver to elevate to is given as follows;
= - (3.75 + 10.5) minutes ≈ 2.8738 minutes
The rate of change of the divers elevation = (Final elevation - Initial elevation)/(Time taken)
∴ The rate of change of the divers elevation = ( - ( ))/(2.87 minutes) = 71/2.8738 ≈ 24.71 feet/minute to the nearest hundredth
The rate of change of the divers elevation ≈ 24.71 feet/minute.