H0: μ = 30,

Ha: ≠30

at the significance level of 0.01.

You conclude:

a) There is not enough evidence to support the claim.

b) There is enough evidence to support the claim.

Answer:

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

The population mean is

The standard deviation is

The sample size is n = 9

The null hypothesis is

The alternative hypothesis is

The level of significance is

The sample mean is

Generally the test statistics is mathematically represented as

=>

=>

From the z table the area under the normal curve to the right corresponding to 1.2 is

Generally the p-value is mathematically represented as

=>

=>

From the value obtained w can see that

hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is there is not enough evidence to support the claim

Answer:
### Final answer:

### Explanation:

### Learn more about Hypothesis testing here:

To test the hypotheses, use a one-sample** t-test** to compare the sample mean to the population mean. Calculate the t-value and compare it to the critical t-value at the significance level of 0.01. If the calculated t-value falls within the critical region, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.

To test the hypotheses, we can use a one-sample t-test since we know the population standard deviation and the sample size is small. The null **hypothesis** (H0) is that the population mean (μ) is equal to 30 seconds, while the alternative hypothesis (Ha) is that the population mean is not equal to 30 seconds.

Using the given information, we can calculate the t-value by using the formula:

t = (sample mean - **population mean**) / (population standard deviation / sqrt(sample size))

Once we have the t-value, we can compare it to the critical t-value at the significance level of 0.01. If the calculated t-value falls within the critical region, we reject the null hypothesis. If not, we fail to reject the null hypothesis and conclude that there is not enough **evidence **to support the claim.

#SPJ11

A new DVD is available for sale in a store one week after its release. The cumulative revenue, $R, from sales of the DVD in this store in week t after its release is R=f(t)=350 ln tR=f(t)=350lnt with t>1. Find f(5), f'(5), and the relative rate of change f'/f at t=5. Interpret your answers in terms of revenue.

Create a polygon JKLMNOPQ that is a dilation of polygon ABCDEFGH with a scale factor of 3 about the origin

2x- y = -22x + 4y =8

At swim practice, several swimmers take turns, swimming 100 meters each. The total distance they swim is less than 1,200 meters. Which inequality can be solved to determine, s, the possible number of swimmers?1,200 greater-than 100 s1,200 less-than 100 s1,200 s greater-than 1001,200 s less-than 100

The sphere at the right fits snugly inside a cube with 4-in. edges. What is the approximate volume of the space between the sphere and cube?

Create a polygon JKLMNOPQ that is a dilation of polygon ABCDEFGH with a scale factor of 3 about the origin

2x- y = -22x + 4y =8

At swim practice, several swimmers take turns, swimming 100 meters each. The total distance they swim is less than 1,200 meters. Which inequality can be solved to determine, s, the possible number of swimmers?1,200 greater-than 100 s1,200 less-than 100 s1,200 s greater-than 1001,200 s less-than 100

The sphere at the right fits snugly inside a cube with 4-in. edges. What is the approximate volume of the space between the sphere and cube?

**Answer:**

x=2

**Step-by-step explanation:**

All of the angles equal 360. So if side z is equal to 100 then 360-200 = 160. The side on the left also is equal to the right side. 160-140 =20. 20/10 is 2. X is equal to 2.

**Answer:**

This is mode defined

**Step-by-step explanation:**

**Answer:**

Bottom left

**Step-by-step explanation:**

Function: each x only has one y, and this is the only graph that fits the description

The answer is the bottom left one!

**Answer:**

k -= 1

**Step-by-step explanation:**

For the first picture :

The answer is k=2

For the second picture:

The answer is graph 2 because it goes through the origin(0,0) and it creates a straight line

For the third picture:

B. Rebecca is incorrect because 7 cups of flour will make 14 batches of cookies

The answer is k=2

For the second picture:

The answer is graph 2 because it goes through the origin(0,0) and it creates a straight line

For the third picture:

B. Rebecca is incorrect because 7 cups of flour will make 14 batches of cookies

**Answer:**

The expression which is equivalent to

**Option A**

The formula for multiplying exponents are such below.

(b^m)^n = b^mn

b^m/b^n=b^(m-n)

b^m x b^n=b^(m+n)

(b^m)^n = b^mn

b^m/b^n=b^(m-n)

b^m x b^n=b^(m+n)

a. Calculate the z-score for Todd's test grade.

b. Calculate the z-score for lan's test grade.

c. Which person did relatively better?

Part A

For Todd's class, we have this given info:

- mu = 70.6 = population mean of math scores
- sigma = 11.9 = population standard deviation of math scores

Compute the z score for x = 74.6

z = (x-mu)/sigma

z = (74.6 - 70.6)/(11.9)

z = 0.34 approximately

Side note: Convention usually has z scores rounded to two decimal places. If your teacher instructs otherwise, then go with those instructions of course.

======================================================

Part B

For Garret's English class, we have:

- mu = 63.7
- sigma = 8.6

Compute the z score for x = 68.8

z = (x-mu)/sigma

z = (68.8 - 63.7)/(8.6)

z = 0.59 approximately

======================================================

Part C

Garret has the higher z score, which means that Garret did relatively better to his classmates compared to Todd's performance (in relation to his classmates). The z score is the distance, in units of standard deviation, the score is from the mean. Positive z values are above the mean, while negative z values are below the mean.