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motikmotik
2 years ago
12

You are thinking about opening a restaurant and are searching for a good location. From the research you have done, you know tha

t the mean income of those living near the restaurant must be over $85,000 to support the type of upscale restaurant you wish to open. You decide to take a simple random sample of 50 people living near one potential site. Based on the mean income of this sample, you will perform a test at the significance level of versus where is the true mean income in the population of people who live near the restaurant. The power of the test to detect that is 0.64. Interpret this value.
Required:
Describe a Type 1 and a Type II error.
Mathematics
1 answer:
adell [148]2 years ago
3 0

A type I and type II error of the given question are respectively;

A) concluding that the local mean income exceeds $45000 when in fact it does not and therefore opening a restaurant in a locale that would not support it.

B) concluding that the local mean income does not exceed $45000 when in fact it does not and therefore deciding not to open a restaurant in a locale that would support it.

<h3>What is Type 1 and a Type II error?</h3>

In statistics, a type I error simply means rejecting the null hypothesis when it's actually true. Meanwhile, a Type II error means failing to reject the null hypothesis when it's actually false.

Now, in this question what we will consider to be a type I error is concluding that the local mean income exceeds $45000 when in fact it does not and therefore opening a restaurant in a locale that would not support it.

A type II error will be concluding that the local mean income does not exceed $45000 when in fact it does not and therefore deciding not to open a restaurant in a locale that would support it.

Read more about Type I and II errors at; brainly.com/question/16012410

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Please help I’ll mark you as brainliest if correct!
ki77a [65]
The answer is 190.5 cm
7 0
3 years ago
A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry. Based on past data, how many of the next 65 pieces of
pav-90 [236]

Answer:

30

24 : 28 would equal 6 : 7

6/13 x 65 = 30

Use the proportion of the bracelets

8 0
2 years ago
A pack of 6 batteries of the same type cost ?2.79 . By calculating the price per battery,determine if this is better value.You m
MissTica

Answer:

The full question is attached in the picture below.

The better price for the battery is given with the 6 pack.

(£ 0.47 per battery)

Step-by-step explanation:

If 8 batteries cost £ 3.99

This means that one battery is equal to

£3.99/8 = £ 0.49875 ≈ £ 0.50 per battery

The pack of 6 batteries costs £ 2.79

This means that one battery is equal to

£2.79/6 = £ 0.465 ≈ £ 0.47 per battery

Then, we can conclude than the 6 pack gives us a better price per battery

7 0
3 years ago
identify the kind of sample that is described. the superintendent of a large school district wants to test the effectiveness of
Andrei [34K]

The sample used in this problem is classified as cluster.

<h3>How are samples classified?</h3>

Samples may be classified as:

  • Convenient: Drawn from a conveniently available pool.
  • Random: All the options into a hat and drawn some of them.
  • Systematic: Every kth element is taken.
  • Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
  • Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

For this problem, a group of schools is selected, and then the new program is applied to all students in these school, meaning that all elements in the cluster are surveyed, so cluster sampling is used.

More can be learned about classification of samples at brainly.com/question/25122507

#SPJ1

7 0
2 years ago
What is the value of x? assume that the line is tangent to the circle
nekit [7.7K]

Answer:

70°

Step-by-step explanation:

Connect the center of the circle with endpoints of the chord. Let the center of the circle be point O and endpoints of the chord be points A (let point A lie on the tangent line too)and B.

From the figure, central angle AOB has the measure of 220°.

Consider triangle AOB. This triangle is isosceles triangle because OA and OB are both radii. In this triangle the measure of angle AOB is 360° - 220° = 140°.

Angles OAB and OBA are angles adjacent to the base AB, so they are congruent. The sum of the measures of all interior angles in triangle is always 180°, so

m∠OAB + m∠OBA + m∠AOB = 180°

m∠OAB = m∠OBA = 1/2 (180° - 140°)

m∠OAB = 20°

Since drawn line is tangent line, then OA is perpendicular to this tangent line and

x° = 90° - 20°

x° = 70°

4 0
3 years ago
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