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Georgia [21]
3 years ago
13

The number of violent crimes committed in a day possesses a distribution with a mean of 2.3 crimes per day and a standard deviat

ion of 2 crimes per day. A random sample of 100 days was observed, and the mean. number of crimes for the sample was calculated. Describe the sampling distribution of the sample mean.
A) shape unknown with mean-2.3 and standard deviation 2
B) approximately normal with mean 2.3 and standard deviation 2
C) shape unknown with mean 2.3 and standard deviation 0.2
D) approximately normal with mean 2.3 and standard deviation 0.2
Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:

B) approximately normal with mean 2.3 and standard deviation 2

Step-by-step explanation:

Given the following :

Mean crimes per day = 2.3

Standard deviation = 2

Number of samples = 100

Sampling distribution of the mean:

According to the central limit theorem:

Sample mean = population mean

2.3 = 2.3

The standard deviation of the sample (s) : ratio of the population standard deviation and square root of the sample size.

s = population standard deviation / √sample size

s = 2 / √100

s = 2 / 10

s = 0.2

The central limit theorem also posits that once ths sample size is large enough, the sampling of the sample mean will be approximately normal.

Hence, the distribution is approximately normal, with mean of 2.3 and standard deviation of 0.2

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all of the above

Step-by-step explanation:

3 0
2 years ago
Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and
MakcuM [25]

Answer:

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

Step-by-step explanation:

<u><em>The complete question is</em></u>

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2. She bought  a total of 14 peaches and bananas altogether. Determine the number of peaches and the  number of bananas that Emily bought

Let

x ----> the number of bananas that Emily bought

y ----> the number of peaches that Emily bought

we know that

She bought  a total of 14 bananas and peaches altogether

so

x+y=14 -----> equation A

She bought $20.80 worth of bananas and peaches

so

0.80x+2y=20.80 -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (6,8)

see the attached figure

therefore

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

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3 years ago
A pet store advertises
nikklg [1K]

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Step-by-step explanation:

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A pair of dice is rolled in a remote location and when you ask an honest observer whether at least one die came up six, this hon
LiRa [457]
3/36 is the answer i think
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3 years ago
2) Pranavi can hike 4 mile in 7% minutes. How long would it take her to hike<br> a mile?
Sergeeva-Olga [200]
To calculate this, we need to divide 7 minutes by 4 miles to see how long it takes her to hike 1 mile.
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Glad I could help and have a fantastic day!
Also, can you please mark my answer as the brainliest answer?
Thanks.
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2 years ago
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