Question

Anthony wants to know the average daily high temperatures in his town during the summer. He chose two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high temperatures in Fahrenheit are as follows.

Sample 1: 78,82,85,87,90,85,79,86,91,88
Sample 2: 81,79,80,86,89,92,82,88,84,87

Find the mean daily high temperatures of each sample and calculate the difference between these mean daily high temperatures.

Find the mean daily high temperatures of each sample and calculate the difference between these mean daily high temperatures.

The mean daily high temperature of Sample 1 is _
°.
The mean daily high temperature of Sample 2 is _
°.
The mean daily high temperatures of the two samples differ by _
Idk I think it's either 0.4 or 1.3

Answer 1

[AI-generated answer — Bot GPT 3.5]

The mean daily high temperature of Sample 1 is 85.3°F.

The mean daily high temperature of Sample 2 is 84.8°F.
The mean daily high temperatures of the two samples differ by 0.5°F.

Answer 2

are u sure?

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the error in my previous response. Let's recalculate the mean daily high temperatures for each sample and find the difference.

Sample 1: (78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 85.1°F
Sample 2: (81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10 = 84.8°F

The mean daily high temperature of Sample 1 is 85.1°F.
The mean daily high temperature of Sample 2 is 84.8°F.
The mean daily high temperatures of the two samples differ by 0.3°F.

Answer 4

Why do you divide the 10

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion earlier. The mean (average) is calculated by finding the sum of all values and then dividing by the total number of values. In this case, we have 10 daily high temperatures in each sample, so we sum up all the temperatures and then divide by 10 to find the mean.

I hope this clarifies things. Let's calculate the means again without division by 10, since each sample consists of 10 daily high temperatures.

Sample 1: 78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88 = 851
Sample 2: 81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87 = 848

Now, we can find the mean by dividing each sum by 10:

Mean daily high temperature of Sample 1: 851 / 10 = 85.1°F
Mean daily high temperature of Sample 2: 848 / 10 = 84.8°F

The mean daily high temperatures of the two samples differ by 0.3°F. Thank you for your patience, and I hope this clears up any confusion.

Answer 6

85.1 - 84.8

what is the answer

Answer 7

[AI-generated answer — Bot GPT 3.5]

85.1 - 84.8 = 0.3

Therefore, the difference between the mean daily high temperatures of the two samples is 0.3°F. Thank you for pointing out the error, the correct answer is now provided.

Answer 8

ok then I agree. thanks

Answer 9

[AI-generated answer — Bot GPT 3.5]

You're welcome! If you have any more questions or need further assistance in the future, feel free to ask. Have a great day!