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Nadusha1986 [10]
3 years ago
10

A survey of nonprofit organizations showed that online fundraising has increased in the past year. You want to estimate the popu

lation mean one-time gift donation. Based on a random sample of 55 nonprofits, the mean of one-time gift donation is $125. The value $125 is:________.
a. an interval estimate
b. a statistic
c. a parameter
d. a confidence interval
e. a point estimate
Mathematics
1 answer:
kakasveta [241]3 years ago
6 0

Answer:

e. a point estimate

Step-by-step explanation:

When an estimate for the unknown population parameter is expressed by a single value it is called a point estimate.

Example : If we wish to find the height of a very large group of students on the basis of a sample and we find it to be 64 inches. 64 inches is the point estimate.

<em>Similarly the value given is the point estimate.</em>

Point estimate of the population parameter provides as an estimate a single value calculated from the sample that is likely to be close in value to the unknown parameter. It is to be noted that a point estimate will not in general be equal to the population parameter as the random sample used is one of the many possible samples which could be chosen from the population.

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3 years ago
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The LCM of 2 numbers is 60 and 1 of the numbers is 7 less than the other number. What are the numbers?
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Let's represent the two numbers by x and y.  Then xy=60.  The smaller number here is x=y-7.

Then (y-7)y=60, or y^2 - 7y - 60 = 0.  Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:

discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191.  Because the discriminant is positive, this equation has two real, unequal roots, which are
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y = -------------------------
             -2(1)

and 

        -(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
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Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.


Try thinking this way:  If the LCM is 60, then xy = 60.  What would happen if x=5 and y=12?  Is xy = 60?  Yes.  Is 5 seven less than 12?  Yes.






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Step-by-step explanation:

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