How do I do this problem?

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

Joseph is ordering pizza for himself and 15 friends. If each of them wants 14

kicyunya [14]

I think it is 210
because 15x14=210

4 0

2 years ago

Four penguins would satisfy a polar bear's appetite for 12 hours. A polar bear has a

julsineya [31]

Answer:

0.04%

Step-by-step explanation:

If there are 1000 penguins per square miles, the total number of penguins in a 10 square miles will be 1000*10 = 10,000 penguins/10square miles

Since a polar bear has a territory of 10 square miles, and can only eat four penguins within the 10square miles;

Percentage of penguins that the polar bear can eat will be expressed as;

number of penguin eaten per 10square miles/total number of penguin per 10square miles * 100

Percentage of penguins that the polar bear can eat = 4/10,000 * 100%

Percentage of penguins that the polar bear can eat = 4/100%

Hence, the percentage of penguins that the polar bear can eat in the 10 square miles is 0.04%

6 0

2 years ago

Workers are required to pay 4½% of their salaries into an Educational Fund. A worker's salary is 120 Ghana cedis . How much does

steposvetlana [31]

Answer:

He will need to pay 5.4 Ghana cedis into his educational fund.

Step-by-step explanation:

We need to multiply 4 1/2 by 120 since it is a percentage. We convert 4 1/2 into a decimal which is 4.5. Now, we just need to multiply 120 by 4 1/2 to get an answer of 5.4.

8 0

2 years ago

Karen earns $34,850 annually as an engineer. She single and supports her father. The state tax rate in her state is 3% of taxabl

Scorpion4ik [409]

Answer:

1,045.50$

Step-by-step explanation:

34,850 x .03 = 1,045.50

3 0

2 years ago