a towns snowfall in december averages 13 inches with a standard diviation of 8 inches while in february the average snowfall is 40 inches with a standard deviation of 13 in which month is it more likey to snow 32 inches. explain

13 and add 8 = 21 add 8 = 30 and add 8 =38. So, 32 falls between 2 and 3 standard deviations.

40 - 13 = 27, 32 falls within one standard deviation.

February is more likely.

You could also take 32 -13 =19 and divide by 8 to get z = 2.375

32-40 = -8 divided by 13 to
get z = -.615

These give you the exact values. February is still the answer.

Ah, the great snowfall dilemma! Well, let's crunch some numbers, shall we? In December, the average snowfall is 13 inches with a standard deviation of 8 inches, whereas in February, the average snowfall is a whopping 40 inches with a standard deviation of 13 inches.

Now, you're wondering which month is more likely to have a snowfall of 32 inches. In order to figure that out, we need to look at the concept of "Z-scores." A Z-score tells us how many standard deviations away from the mean a particular value is.

So, to determine the likelihood of 32 inches of snow, we'll calculate the Z-scores for both December and February.

For December: Z = (32 - 13) / 8 ≈ 2.38
For February: Z = (32 - 40) / 13 ≈ -0.62

Now, comparing the Z-scores, we can conclude that a snowfall of 32 inches is much more likely to occur in December because the Z-score is positive. In February, the Z-score is negative, indicating that a snowfall of 32 inches is less likely.

But hey, keep in mind that Mother Nature loves surprises, and snowstorms can be pretty mischievous fellows. So, even with all these calculations, she might just decide to break the rules and make it snow 32 inches in February. You never know with that wacky weather!

Stay warm, and keep an eye out for unexpected snowflakes!

To determine in which month it is more likely to snow 32 inches, we need to compare the snowfall statistics of December and February.

In December, the average snowfall is 13 inches with a standard deviation of 8 inches. This means that the majority of snowfall data falls within a range of 8 inches above or below the average (between 5 and 21 inches approximately).

On the other hand, in February, the average snowfall is 40 inches with a standard deviation of 13 inches. This means that the majority of snowfall data falls within a range of 13 inches above or below the average (between 27 and 53 inches approximately).

Since 32 inches falls within the range of February's snowfall statistics (between 27 and 53 inches), it is more likely to snow 32 inches in February than in December. This is because the standard deviation of February's snowfall data is larger than that of December, indicating a wider range of possible snowfall amounts.

To determine in which month it is more likely to snow 32 inches, we can compare the values using z-scores.

A z-score measures the number of standard deviations a particular value is from the mean. It helps us determine the relative position of a specific value within a distribution.

Let's calculate the z-scores for 32 inches of snowfall in both December and February:

For December:
z-score = (x - mean) / standard deviation
z = (32 - 13) / 8
z ≈ 2.375

For February:
z-score = (x - mean) / standard deviation
z = (32 - 40) / 13
z ≈ -0.615

Now, we can interpret the z-scores.

In December, the z-score is 2.375, which means that 32 inches of snowfall is 2.375 standard deviations above the December average snowfall.

In February, the z-score is -0.615, which indicates that 32 inches of snowfall is 0.615 standard deviations below the February average snowfall.

Since 2.375 is a larger z-score than -0.615, it means that 32 inches of snowfall is relatively more likely to occur in December than in February.