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a_sh-v [17]
3 years ago
8

A scientist is investigating whether percent concentration can be used to predict density in apple juice. A scientist selected a

random sample of 12 apple juice varieties and recorded the density, in pounds per cubic inch, and the percent concentration of each apple juice variety. The scientist wants to estimate the mean change in the density, in pounds per cubic inch, for each increase of 1 percent concentration of apple juice. Assuming the conditions for inference have been met, which of the following inference procedures is most appropriate for this investigation?
a. A linear regression t-interval for slope.
b. A matched-pairs t-interval for a mean difference.
c. A two-sample t-interval for a difference between means.
d. A one-sample t-test for means.
e. A two-sample z-interval for a difference between proportions
Mathematics
1 answer:
USPshnik [31]3 years ago
3 0

Answer:

The most appropriate inference procedure for the investigation is;

a. A linear regression t-interval for the slope

Step-by-step explanation:

Given that the slope of an horizontal line is zero, we have that there is no change in the y (dependent) variable when there is a change in the x-variable, therefore, it is important to find the true relationship between the two variables, 'x', and 'y'

The confidence interval of the slope is calculated and analyzed to determine if it excludes or includes, 0, such that, if the confidence interval exclude 0, then, it is unlikely that the slope is 0, therefore, there the relationship between the variables, 'x', and 'y' is significant

Therefore, a linear regression t-interval for the slope is most appropriate.

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A retail store did research and determined that, on average, each customer spends 40 minutes in their store per visit, with a st
Blababa [14]

Answer:

0.13% of customers spend more than 46 minutes

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 40, \sigma = 2

What percentage of customers spend more than 46 minutes?

This is 1 subtracted by the pvalue of Z when X = 46. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{46 - 40}{2}

Z = 3

Z = 3 has a pvalue of 0.9987

1 - 0.9987 = 0.0013

0.13% of customers spend more than 46 minutes

6 0
2 years ago
If costheta=4/5 then what is sec^2theta
DaniilM [7]

Answer:

\sec^2(\theta)=\frac{25}{16}

Step-by-step explanation:

Recall what the relationship between cosine and secant:

\sec(\theta)=\frac{1}{\cos(\theta)}

In other words, secant is the reciprocal of cosine.

So, if we know cosine, we only need to find its reciprocal to find secant.

We are given that cosine is:

\cos(\theta)=\frac{4}{5}

Then secant must be:

\sec(\theta)=\frac{5}{4}

So:

\sec^2(\theta)=(\frac{5}{4})^2

Square:

\sec^2(\theta)=\frac{25}{16}

And we're done!

5 0
3 years ago
Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27
Korvikt [17]

Answer: C: Chuy will save more than he needs and will meet his goal at the end of 27 weeks.

Step-by-step explanation: Divide the amount of money saved, $440, by the number of weeks, 8.

440/8 = $55.

This means $55 is the amount of money Chuy saves every week.

Multiply $55 by the number of weeks Chuy plans to save money, 27.

55 x 27 = 1,485.

Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.

4 0
2 years ago
A bird flies at an elevation of 10 feet. Which is closer to sea level than the bird?
Taya2010 [7]

A boy swimming at an elevation of 3 feet below sea level. This is the answer because the boy is only 3 feet away from sea level while the bird is 10 feet away form sea level.

6 0
3 years ago
Read 2 more answers
What is the factored form of the expression?Factor completely.56k^3-84k^2+70k-105
nikdorinn [45]
The best way to approach this problem is to start off by doing factor by grouping.

7 0
3 years ago
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