Data collected by child develpoment scientists produced this confidence itnerval for the average age(in weeks) at which babies begin to crawl If the true average age (in weeks) at which babies begin to crawl was 30, would a researcher retain or reject the null hypothesis, and with what explanation?

The researcher can retain the null hypothesis that the average age (in weeks) at which babies begin to crawl is not significantly different from 30 as the value 30 weeks lies within the range of values that the true average age (in weeks) at which babies begin to crawl can take on.

Step-by-step explanation:

The null hypothesis plays the devil's advocate and is always about the absence of significant difference between two variables being compared.

While, the alternative hypothesis takes the other side of the hypothesis; that there is indeed a significant difference between two proportions being compared.

For this question, the null hypothesis is presented mathematically as

H₀: μ₀ = 30 weeks

And the alternative hypothesis is

Hₐ: μ₀ ≠ 30 weeks

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

With the confidence interval obtained,

29.202 < μ[age] < 31.844

The researcher can retain the null hypothesis that the average age (in weeks) at which babies begin to crawl is not significantly different from 30 as the value 30 weeks lies within the range of values that the true average age (in weeks) at which babies begin to crawl can take on.

Hope this Helps!!!

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).