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EastWind [94]
3 years ago
13

For which sample size (n) and sample proportion (p) can a normal curve be

Mathematics
1 answer:
Nonamiya [84]3 years ago
7 0

Answer:

Option c.

Step-by-step explanation:

Using the normal curve to approximate a sampling distribution:

For a sample size n and a proportion n, the normal curve can be used if:

np \geq 10 and n(1-p) \geq 10

Option a:

np = 35*0.8 = 28 > 10

n(1-p) = 35*0.2 = 7 < 10

So option a cannot be used.

Option b:

np = 65*0.9 = 58.5 > 10

n(1-p) = 65*0.1 = 6.5 < 10

So option b cannot be used.

Option c:

np = 65*0.8 = 52 > 10

n(1-p) = 65*0.2 = 13 > 10

So option c can be used, and is the answer

Option d:

np = 35*0.9 = 31.5 > 10

n(1-p) = 35*0.1 = 3.5 < 10

So option d cannot be used.

The answer is given by option c.

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