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Ulleksa [173]
3 years ago
5

What is the value of x?

Mathematics
1 answer:
Nikitich [7]3 years ago
7 0

(x + 1)·(x + 1 + 11) = (x + 4)·(x + 4 + 1) --> x = 2

Tools like "photomath" are able to help you solving such equations.

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The student council is planning the school carnival. Each
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In a study of parents' perceptions of their children's size, researchers asked parents to estimate their youngest child's height
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Test statistic t=6.505

P-value=0

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This is a hypothesis test for the population mean.

The claim is that parents tend to underestimate their youngest child's size.

Then, the null and alternative hypothesis are:

H_0: \mu=0\\\\H_a:\mu> 0

The significance level is assumed to be 0.05.

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As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.

The estimated standard error of the mean is computed using the formula:

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Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.5-0}{1.153}=\dfrac{7.5}{1.153}=6.505

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P-value=P(t>6.505)=0

As the P-value (0) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is  enough evidence to support the claim that parents tend to underestimate their youngest child's size.

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