Answer:

**Answer:**

**No, the manager is not correct based on the 95% confidence interval.**

**Step-by-step explanation:**

We are given that the average daily revenue over the past five-week period has been $1,080 with a standard deviation of $260, i.e.; X bar = $1080 and s = $260 and sample size, n = 35 .

The Pivotal quantity for 95% confidence interval is given by;

~

where, X bar = sample mean = $1080

s = sample standard deviation = $260

n = sample size = 35 {five-week}

So, 95% confidence interval for average daily revenue, is given by;

P(-2.032 < < 2.032) = 0.95

P(-2.032 < < 2.032) = 0.95

P(-2.032 * < < 2.032 * ) = 0.95

P(X bar - 2.032 * < < X bar + 2.032 * ) = 0.95

95% confidence interval for = [ X bar - 2.032 * , X bar + 2.032 * ]

= [ 1080 - 2.032 * , 1080 + 2.032 * ]

= [ 990.70 , 1169.30 ]

*No, the manager is not correct based on the fact that the coffee and pastry strategy would lead to an average daily revenue of $1,200 because the calculate 95% confidence interval does not include value of $1200.*

Therefore, the store manager believe is not correct.

Answer:
### Final answer:

### Explanation:

### Learn more about Confidence Interval here:

The 95% confidence interval for the store's average daily revenue is calculated to be approximately ($993.97, $1166.03). Since $1200 is outside this interval, the manager's belief that the coffee and pastry strategy will lead to an average daily revenue of $1200 is not backed by this confidence level.

In the field of statistics, a confidence interval (CI) is a type of interval estimate that is used to indicate the reliability of an estimate. The method for calculating a 95% confidence interval for the average daily revenue involves the sample mean, the standard deviation, and the z-score associated with a 95% confidence level, which is approximately 1.96. Let's use the provided data to calculate:

- Calculate the standard error by dividing the standard deviation by the square root of the sample size. Here, the standard deviation is $260, and the sample size is 5 weeks * 7 days/week = 35 days. So, the standard error is $260 / sqrt(35) = $43.89.
- Multiply the standard error by the z-score to get the margin of error. So, $43.89 * 1.96 = $86.03.
- Calculate the lower and upper bounds of the 95% confidence interval by subtracting and adding the margin of error from/to the sample mean. So, ($1080 - $86.03, $1080 + $86.03) = ($993.97, $1166.03).

The range of this **95% confidence interval** is from $993.97 to $1166.03. This means we are 95% confident that the true average daily revenue lies within this interval. Since $1200 lies outside this interval, the manager's belief is not supported by this **confidence interval**.

#SPJ3

Angel Graham takes out a $150,000 mortgage. This is a 30-year at $725 per month. What is the total amount of interest that Angel will pay on this mortgage?Total Interest = $_____

2# Find the missing variable (s). Round to the nearest tenth.

Manufactured bolts can’t be too long or too short or they might not fit where they need to. Help determine which bolts will work and which won’t. Show your work for all steps.A machine makes bolts that are 12 mm long. The bolts are considered acceptable if they are within 0.2 mm of 12 mm. What is the longest the bolt can be and still be acceptable?What is the shortest the bolt can be and still be acceptable?

According to a survey conducted in a certain year by the Federal Communications Commission (FCC) of 3005 adults who were home broadband users, 34.5% of those surveyed had switched their service over the past 3 years. Of those who had switched service in the past 3 years, 51% were very satisfied, 39% were somewhat satisfied, and 10% were not satisfied with their service. Of the 65.5% who had not switched service in the past 3 years, 48% were very satisfied, 43% were somewhat satisfied, and 9% were not satisfied with their service.(a) What is the probability that a participant chosen at random had not switched service in the past 3 years and was very satisfied with their service?(b) What is the probability that a participant chosen at random was not satisfied with their service?

Does the residual plot suggest a linear relationship?

2# Find the missing variable (s). Round to the nearest tenth.

Manufactured bolts can’t be too long or too short or they might not fit where they need to. Help determine which bolts will work and which won’t. Show your work for all steps.A machine makes bolts that are 12 mm long. The bolts are considered acceptable if they are within 0.2 mm of 12 mm. What is the longest the bolt can be and still be acceptable?What is the shortest the bolt can be and still be acceptable?

According to a survey conducted in a certain year by the Federal Communications Commission (FCC) of 3005 adults who were home broadband users, 34.5% of those surveyed had switched their service over the past 3 years. Of those who had switched service in the past 3 years, 51% were very satisfied, 39% were somewhat satisfied, and 10% were not satisfied with their service. Of the 65.5% who had not switched service in the past 3 years, 48% were very satisfied, 43% were somewhat satisfied, and 9% were not satisfied with their service.(a) What is the probability that a participant chosen at random had not switched service in the past 3 years and was very satisfied with their service?(b) What is the probability that a participant chosen at random was not satisfied with their service?

Does the residual plot suggest a linear relationship?

39.25 square inches

314 square inches

157 square inches

274.75** square inches** of pizza are remaining. Option A is the correct option.

**What is π in math?**

The **ratio **of a circle's** diameter** to its** circumference**, or "pi," is a mathematical constant that is roughly equal to 3.14159 (/pa/; also written as "pi"). Numerous **mathematical** and physics formulas contain the number. It is an irrational number, meaning that although fractions like 22/7 are frequently used to approximate it, it cannot be expressed exactly as a ratio of two** integers**.

Given that, the diameter of large pizza is 20 inches.

The radius of a circular shape is half of the **diameter**.

The **radius **of the pizza is (20 inches)/2 = 10 inches.

Area of a circular shape is ∏r² .

The area of the pizza is 3.14×10² = 314 in²

The total part of the pizza is considered as 1.

**One-eighth** of the pizza is eaten, and the **remaining portion** is (1-1/8) = 7/8.

The area of remaining pizza is

314 in² × (7/8)

= 274.75 square inches

To learn more about area of a **circular shape** click on the below link:

#SPJ1

**Answer:**

7 units is the answer

**Step-by-step explanation:**

points are (-9,-8) and (-2,-8)

Pythagorean theorem can written as,

∴ d = 7 units

**Answer:**

7 units

**Step-by-step explanation:**

**I believe it would be a right angle. Each corner of a square is a right angle.**

Hello,

The correct answer is 3/4

Because 3 × 4 = 12

Hope this helps!!!! Happy Holidays!!!! (:

The puppy is 3/4 of a pound.

**Answer:**

x = 115° , y = 140° , z = 40°

**Step-by-step explanation:**

40° , x and 25° lie on a straight line and sum to 180° , that is

x + 40° + 25° = 180°

x + 65° = 180° ( subtract 65° from both sides )

x = 115°

z and 40° are vertically opposite angles and are congruent , then

z = 40°

y and z lie on a straight line and sum to 180° , that is

y + 40° = 180° ( subtract 40° from both sides )

y = 140°

The answer is 1.25m + 3.50 = 12.35

**Answer:**

**Step-by-step explanation:**

1.25 m + 3.50 = 12.35

3.50 the flat fee you just add up to the total

1.25 m you can see it depends on m the miles

12.35 is the total