Line "AB" and line "CD" are perpendicular and intersect at point P. What is the measure of angle APC?

A dairy farm uses the somatic cell count (SCC) report on the milk it provides to a processor as one way to monitor the health of

Eva8 [605]

Answer:

$t=\frac{25000-210000}{\frac{37500}{\sqrt{5}}}=2.37$

$p_v =P(t_{4}>2.37)=0.038$

If we compare the p value and a significance level assumed $\alpha=0.1$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the actual true mean is higher than 210250 at 5% of significance.

Step-by-step explanation:

Data given and notation

$\bar X=250000$ represent the sample mean

$s=37500$ represent the standard deviation for the sample

$n=5$ sample size

$\mu_o =210250$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 210250, the system of hypothesis would be:

Null hypothesis: $\mu \leq 210250$

Alternative hypothesis: $\mu > 210250$

Compute the test statistic

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$t=\frac{25000-210000}{\frac{37500}{\sqrt{5}}}=2.37$

Now we need to find the degrees of freedom for the t distirbution given by:

$df=n-1=5-1=4$

Conclusion

Since is a one right tailed test the p value would be:

$p_v =P(t_{4}>2.37)=0.038$

If we compare the p value and a significance level assumed $\alpha=0.1$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the actual true mean is higher than 210250 at 5% of significance.

6 0

3 years ago

A bakery sold 111 cupcakes in one day. The head baker predicted he would sell 91 cupcakes that day. What was the percent error o

Yuliya22 [10]

$111-91=20-error\\\\\begin{array}{ccc}91&-&100\%\\\\20&-&p\%\end{array}\ \ \ |cross\ multiply\\\\\\91p=100\cdot20\\91p=2000\ \ \ \ |divide\ both\ sides\ by\ 91\\\\\boxed{p\approx21.98\ (\%)}\leftarrow answer$

3 0

3 years ago

solve the logarithmic equation using properties of logs. Round to the nearest thousandth if necessary log 2x+logx=2

Rudiy27

Yee
(apologies in advance for foematring. I'm on mobile)

log rules

if no base is stared assume base 10

log_a(b)=c means a^c=b

log(a)+log(b)=log(ab)

if a^b=c^b and b=b then a=c

so
log(2x)+log(x)=2
log_10(2x^2)=2
10^2=2x^2
100=2x^
50=x^2
$x = \pm 5\sqrt{2}$

6 0

2 years ago

four houses each have four floors. On each floor are four apartments, with four doors in each apartment. On each door are four h

alexgriva [62]

256 hinges. 4 x 4 = 16. 16 x 4 = 64. 64 x 4 = 256

7 0

3 years ago

Please answer this in two minutes

morpeh [17]

Answer: g = 5.9

Step-by-step explanation:

SINE RULE

5 / sin(39) = g / sin(48)

so g = 5 / sin(39) * sin(48)

so g = 5.9 to the nearest tenth.

8 0

3 years ago

Line "AB" and line "CD" are perpendicular and intersect at point P. What is the measure of angle APC?​ ​

Line "AB" and line "CD" are perpendicular and intersect at point P. What is the measure of angle APC?