Mathematics: In a study of parents perceptions of their children s size, researchers asked parents to estimate their youngest child s height. The researchers hypothesize that parents tend to underestimate their youngest child s size because the youngest child is the baby of the family and all other family members appear larger compared to the baby. The sample of 39 parents who were surveyed underestimated their youngest child s height by 7.5 cm on average; the standard deviation for the difference in actual

In a study of parents perceptions of their children

july00

26.01.2022

B) TS = -6.51, p-value = 0.0000

Step-by-step explanation:

Sample size, n = 39

μ = 7.5 cm

Null hypothesis, H₀ = 7.5 cm

(I.e. Average height of youngest child is 7.5 cm)

Alternative hypothesis, $H_{a}\neq 7.5$ (The youngest child's age is underestimated by 7.5 cm)

Standard deviation, $\sigma = 7.2 cm$

In order to be able to reject the null hypothesis,

the formula for the test statistic:

$t = \frac{- \mu}{s/\sqrt{n} }$

$t = \frac{- 7.5}{7.2/\sqrt{39} }$

t = -6.51

P - value

P(x < 7.5) = P(z < -6.51)

Checking the p-value for z < -6.51 in the normal distribution table

P(z < -6.51) = 0.0000

p - value = 0.0000

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jeto32

30.08.2021

No, the ratios are not equivalent to 2/3. To create an equivalent ratio, you need to multiply both numbers in the original ratio by the same number.

I took a test and it said that this was correct. I hope this helps!

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