Round 2.36 to the nearest whole number

Consider a chemical company that wishes to determine whether a new catalyst, catalyst XA-100, changes the mean hourly yield of i

kolezko [41]

Answer:

Null hypothesis: $\mu = 750$

Alternative hypothesis: $\mu \neq 750$

$t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943$

$p_v =2*P(t_{4}>6.943)=0.00226$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.

Step-by-step explanation:

Data given and notation

Data: 801, 814, 784, 836,820

We can calculate the sample mean and sample deviation with the following formulas:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=811$ represent the sample mean

$s=19.647$ represent the standard deviation for the sample

$n=5$ sample size

$\mu_o =750$ represent the value that we want to test

$\alpha$ 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 different from 750 pounds per hour, the system of hypothesis would be:

Null hypothesis: $\mu = 750$

Alternative hypothesis: $\mu \neq 750$

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:

$t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943$

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

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

What do you conclude?

Compute the p-value

Since is a two tailed test the p value would be:

$p_v =2*P(t_{4}>6.943)=0.00226$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.

4 0

3 years ago

The 44 members of the glee club are trying to raise at least $6,000 so they can compete in the state championship. They already

Anna [14]

Answer:

x=44x(6,000)x1,210

Step-by-step explanation:

7 0

3 years ago

For a horizontal launch (θ0 = 0) at a fixed height ℎi > 0, are the statements below correct? (Assuming friction can be ignore

Marizza181 [45]

Answer:

1) False. 2) True. 3) True. 4) False.

Step-by-step explanation:

1) False. The force of gravity will drive it down. The path will form a parabola.

2) True. There is no variation in the velocity in the horizontal axis and no force applied so the acceleration is zero.

3) True. The travel time depends on the height and the acceleration of gravity, and independent of the velocity of the rocket at launch.

4) False. The travel distance depends on the initial velocity of the rocket (at launch).

5 0

3 years ago

The 80 eighth graders took a trip to Washington DC. The boys numbered 16 fewer than twice the number of girls. How many of the e

SpyIntel [72]

Answer:

32

Step-by-step explanation:

pls find the attached image

4 0

2 years ago

Which of the following is the length of the<br> altitude a of the equilateral triangle below?

maria [59]

Answer:

A) $\sqrt{3}$

Step-by-step explanation:

in a 30-60-90 triangle the sides, respectively, are in the ratio of 1 : $\sqrt{3}$ : 2

3 0

2 years ago