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A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You select a random sample of 100 bottles, the mean amount of water per 1-gallon bottle is 0.994 gallon, and standard deviation of the amount of water per bottle is 0.03 gallon.
You select a random sample of 50 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon.
a. Is there evidence that the mean amount is different from 1.0 gallon? (Use α-0.01.)
b. Compute the p-value and interpret its meaning
c. Construct a 99% confidence interval estimate of the population mean amount of water per bottle.
d. Compare the results of (a) and (c). What conclusions do you reach?

Solve the following exponential equation. Round to the nearest thousandth place (3 decimal places)

5^3x+7 =311

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Simplify 6(11p)​

I need help on the problem!! please ​

What is (3x^2+ 4x - 7) / (x - 1)?

A. 3x+1
B. X-1
C. 3x+7
D. 7x-7

In Middletown, Main Street and Market Street are parallel to each other. Patrick Street intersects Market Street to form a 76° angle at the northeast corner, as shown in the figure below. What is the measure of the angle formed at the southeast corner of Main Street and Patrick Street? (Note: Each street is straight and has the same uniform width.)
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A. 76°
B. 90°
C. 104°
D. 142°
E. 152° (NOT E)!

find the volume of the cone Diameter:10 m and Height:10m​

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Mike's Music charges $45 per hour. Tim's Tunes
charges $80 plus $25 per hour. If you have $240, how many hours will Mike's Music
play?

1. 6 hours
2. 5 hours
3. 6 2/5 hours
4. 5 1/3 hours

Image not writing all that.

What's negative 4 times p

In a large city school system with 20 elementary schools, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan.

a. If they put a big ad in the newspaper asking people to log their opinions on the PTA Web site what kind of bias might they encounter.

1. response bias due to desire to give acceptable answers
2. nonresponse bias
3. bias due to the use of a voluntary response sample
4. bias due to a poor sampling frame resulting in undercoverage
5. no bias

b. If they randomly select one of the elementary schools and contact every parent by phone, what kind of bias is there?

1. bias due to the use of a voluntary response sample
2. response bias due to desire to give acceptable answers
3. undercoverage bias due to a poor sampling frame
4. no bias
5. nonresponse bias

c. Suppose they randomly select 20 parents from each elementary school. Send them a survey, and follow up with a phone call if they do not return the survey within a week. What kind of sampling was done?

1. stratified sampling
2. convenience sample
3. simple random sampling
4. voluntary response sample

Part D Some of the measurements of the triangular prism with a right triangle base are shown. What is the length of the hypotenuse of the base? ​

Write and simplify an algebraic expression to represent the area of the shaded region. The image is below.
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A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue, 7 percent of cars with black seats are red, and 4 percent of cars with black seats are black. A test was conducted to investigate whether the color of cars with black seats was consistent with the newspaper article. A random sample of cars of these colors was selected, and the value of the chi-square test statistic was x = 8.2. Which of the following represents the p-value for the test?
A) P(x2 ≥ 8.2) = 0.08
B) P(x2 ≥ 8.2) = 0.04
C) P(x2 ≤ 8.2) = 0.96
D) P (x2 = 8.2) = 0.00
E) The p-value cannot be calculated because the sample size is not given.

n a study of academic procrastination, it was determined that for a random sample of 18 undergrad students at a mid-size public university, the mean time spent studying for the final exam in an intro statistics course was 7.74 hours with a standard deviation of 3.40 hours. Suppose we wish to compute a 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students. The margin of error for this confidence interval would then be calculated using the critical value (c) determined in the previous question as: (Don't worry if your sample size changed- use the one given here).

UVT equals what?....

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Oscar invested $5000 in an
account that pays 4% annual
simple interest. Oscar will not make
any additional deposits or withdrawals.
How much interest will Oscar earn on
his investment at the end of 3 years?

Freshman, sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question - agree with the increase, do not agree with the increase, or no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have

United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each grade, as follows:
Mill
Aluminum
Grade 1 2
High 6 2
Medium 2 2
Low 4 10
The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5
tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the
number of days to operate each mill in order to meet the contract at the minimum cost.
Formulate a linear programming model for this problem.

100
100
Students, drow anywhere on this slide!

Which is larger, a pound or a kilogram?

Find the volume of the prism to the nearest whole number

A family has five children. The probability of having a girl is 1/2. What is the probability of having 3 girls followed by 2 boys?

by how much is 68,72,526 less than a crore?

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What is the price of a $90 mobile phone after a 30% discount?