Answer:
True
Step-by-step explanation:
We assume that is true for the nth case and prove it for the n+1 case
and show that it is true for the case when n=1
If temperature in potter's kiln dropped 760 degrees in 4 hours. On average, 190 degrees of temperature drop per hour
A division is a process of splitting a specific amount into equal parts.
Given,
The temperature in potter's kiln dropped 760 degrees in 4 hours
We need to find the average of temperature drop per hour
To find this we have to divide 760 by 4.
Seven hundred sixty divided by four.
760/4
One hundred ninety
190
For an hour 190 temperature is dropped.
Hence, On average 190 temperature drop per hour.
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Answer:
-190
Step-by-step explanation:
The question is incomplete! the complete question along with answer and step by step explanation is provided below.
Question:
A researcher records the repair cost for 8 randomly selected refrigerators. A sample mean of $57.89 and standard deviation of $23.69 are subsequently computed. Determine the 95% confidence interval for the mean repair cost for the refrigerators. Assume the population is approximately normal.
Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Step 2 of 2 : Construct the 95% confidence interval. Round your answer to two decimal places.
Given Information:
Sample mean repair cost = $57.89
Sample standard deviation = σ = $23.69
Sample size = 8
Confidence level = 95%
Required Information:
step 1: critical value = ?
step 2: 95% confidence interval = ?
Answer:
step 1: critical value = 2.365
step 2: 95% confidence interval = ($38.08, $77.70)
Step-by-step explanation:
Since the sample size is less than 30 and the standard deviation of the population is also unknown therefore, we can use the t-distribution to find the required confidence interval.
The confidence interval is given by
Where is the mean repair cost and MoE is the margin of error that is given by
Where n is the sample size, s is the sample standard deviation, and is the t-score corresponding to 95% confidence level.
The t-score corresponding to 95% confidence level is
Significance level = 1 - 0.95 = 0.05/2 = 0.025
Degree of freedom (DoF) = n - 1 = 8 - 1 = 7
From the t-table at α = 0.025 and DoF = 7
t-score = 2.365
Therefore, the critical value that should be used in constructing the confidence interval is 2.365
So the required 95% confidence interval is
Therefore, we are 95% confident that the mean repair cost for the refrigerators is within the range of ($38.08, $77.70)
O a<-21
O a> 21-1/
O a <21/13
Answer:
c
Step-by-step explanation:
The median, mean, range and mode will be 6, 5.4, 9 and 7.
The median is the number in the middle when arranged in an ascending order. The numbers will be:
0, 3, 4, 6, 6, 7, 7, 7, 9.
The median is 6.
The range is the difference between the highest and lowest number which is: = 9 - 0 = 9
The mode is the number that appears most which is 7.
The mean will be the average which will be:
= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.
= 49/9
= 5.4
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median=order them and find the middle=6
mean=add them all up and divide by the amount of numbers=(3+6+9+7+4+6+7+0 +7)/9=5.4
range= the difference between the smallest and largest number=9-3=6
mode= the one that appears the most= 7