MATHEMATICS COLLEGE

In a climate survey, it was determined that in a random sample of 15 days, the average temperature in Kalamazoo at 2:00 PM in the months of July and August is 73.38 degrees with a standard deviation of 3.798 degrees. Using this information, a 95% confidence interval for the average is (71.28, 75.48). Which of the following is the appropriate interpretation of this interval?1)

We are certain that 95% of the days in the months of August and July will have a temperature at 2:00 PM between 71.28 and 75.48.
2)

We cannot determine the proper interpretation of this interval.
3)

We are 95% confident that the average daily temperature for the months of July and August at 2:00 PM for the days recorded is between 71.28 and 75.48.
4)

We are 95% confident that the proportion of all days' temperatures will fall between 71.28 and 75.48.
5)

We are 95% confident that the average daily temperature for the months of July and August at 2:00 PM is between 71.28 and 75.48.

Answers

Answer 1

Answer:

Answer:

$73.38-1.76(3.798)/(√(15))=71.65$

$73.38+1.76(3.798)/(√(15))=75.11$

So on this case the 95% confidence interval would be given by (71.65;75.11)

The interval given for this case by the problem is:

(71.28, 75.48)

And the best conclusion is given by:

4) We are 95% confident that the average daily temperature for the months of July and August at 2:00 PM is between 71.28 and 75.48.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=73.78$ represent the sample mean

$\mu$ population mean (variable of interest)

$s=3.798$ represent the sample standard deviation

n=15 represent the sample size

95% confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_(\alpha/2)(s)/(√(n))$ (1)

The degrees of freedom are given:

$df= n-1 = 15-1=14$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabele to find the critical value. The excel command would be: "=-T.INV(0.05,14)".And we see that $t_(\alpha/2)=1.76$

Now we have everything in order to replace into formula (1):

$73.38-1.76(3.798)/(√(15))=71.65$

$73.38+1.76(3.798)/(√(15))=75.11$

So on this case the 95% confidence interval would be given by (71.65;75.11)

The interval given for this case by the problem is:

(71.28, 75.48)

And the best conclusion is given by:

4) We are 95% confident that the average daily temperature for the months of July and August at 2:00 PM is between 71.28 and 75.48.

Answer:

There are 9,000,000 seven-digit positive integers.

Explanation:

For the first digit, we have 9 choices: 1, 2, 3, 4, 5, 6, 7, 8, 9.

For each remaining digit, we have 10 choices: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Each choice is independent of the others. So, the number of total 7-digit positive integers is the product of all the numbers of choices for each digit.

hope it helps

need brainliest......

Since 0 cannot be put as the first digit, there are 9 choices for the first digit, and the next 6 digits have 10 choices. So, there are 9 × 10^6 = 9000,000 numbers.

Problem 2: Suppose that a 3 Ã 5 coefficient matrix A has a pivot in each of the three rows. If we augment A to represent a linear system, would this system have solutions (be consistent) or have no solutions (be inconsistent)? Explain your answer

Answers

i’m sorry i don’t know the answer

Furnace repairs Rj's plumbing charges $55 plus $40 per hour for emergency service. Gary remembers being billed over $150 for an emergency call. How long was Rj there?Use an inequality

Answers

You set it up as a y=mx+b problem 150=55x+40 then you subtract 40 from 150 making 110=55x so x=2

The total cost of a prescription is $119.25. Mr. Jones's co-insurance plan requires him to contribute 15 percent of the cost. What's Mr. Jones's out-of-pocket cost for this prescription?

Answers

gang gang i believe it's 25.76

Simplify using the distributive property.10 - 2(x - 7) = 4(x - 5)

24 - 2 x = 4 x - 20
-4 - 2 x = 4 x - 5
3 - 2 x = 4 x + 5

Answers

Answer:x=22 over 3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

10−2(x−7)=4(x−5)

10+(−2)(x)+(−2)(−7)=(4)(x)+(4)(−5)(Distribute)

10+−2x+14=4x+−20

(−2x)+(10+14)=4x−20(Combine Like Terms)

−2x+24=4x−20

Step 2: Subtract 4x from both sides.

−2x+24−4x=4x−20−4x

−6x+24=−20

Step 3: Subtract 24 from both sides.

−6x+24−24=−20−24

−6x=−44

Step 4: Divide both sides by -6.

−6x−6=−44−6

x=22 over 3

hope it helps.

Answer:

hey

Step-by-step explanation:

1. Write the equation for each of the following:- Slope Intercept:
- Point-Slope:
- Standard Form:

Answers

Answer:

Slope Intercept:y=mx+b

Point-slope:

y-y1=m(x-x1)

Standard form:Ax+By=C

Other Questions

Samantha is training for a race. The distances of her training runs form an arithmetic sequence. She runs 1 mi the first day and 2 mi the seventh day.a. What is the explicit definition for this sequence?b. How far does she run on day 19?

A principal of $1900 was invested at 3.75% interest, compounded annually. Let be the number of years since the start of the investment. Let y be the value of the investment, in dollars. Write an exponential function showing the relationship between y and t?

A telephone company charges 50 cents for along distance call for the first two minutes, and 30 cents for each additional minute. Find the cost of a 15-minute call.

John has five apples and he gives two to his friend how many apples does John have left

Answers

Related Questions

Answers

Answer:

Answers

Answers

Answers

Answers

Answers