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stiv31 [10]
3 years ago
11

Use the fact that one inch is approximately 2.54 centimeters to find the number of inches in 25 centimeters. Round to the neares

t hundredth of an inch, if needed.
Mathematics
1 answer:
Brrunno [24]3 years ago
8 0

Answer:

25/2.54 = 9.84251968

9.84 inches

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The attention span of children (ages 3 to 5) is claimed to be Normally distributed with a mean of 15 minutes and a standard devi
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Answer:

If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.

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We are given the following in the question:

Population mean, μ = 15 minutes

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First, we design the null and the alternate hypothesis

H_{0}: \mu = 15\text{ minutes}\\H_A: \mu > 15\text{ minutes}

Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Now, z_{critical} \text{ at 0.05 level of significance for one tail} = 1.64

Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.

Thus, we can write:

z_{stat} = \displaystyle\frac{\bar{x} - 15}{\frac{4}{\sqrt{10}} } > 1.64\\\\\bar{x} - 15>1.64\times \frac{4}{\sqrt{10}}\\\bar{x} - 15>2.07\\\bar{x} > 15+2.07\\\bar{x} > 17.07

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