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Alja [10]
1 year ago
15

Carlos is analyzing the results of an experiment on two groups of mice in which he compared the difference in their weight gain

after feeding each group a different type of food for one month. The difference in the mean weight gain is 0.6 grams. The standard deviation of the difference in sample means is 0.305.
Mathematics
1 answer:
Arlecino [84]1 year ago
3 0
Given:difference in the mean weight gain is 0.60 gramsstandard deviation of the difference in sample mean is 0.305
68% confidence interval for the population mean difference is a) 0.305
0.60 + 1 * 0.3050.60 + 0.305 = 0.9050.60 - 0.305 = 0.295
95% confidence interval for the population mean difference is c) 0.61
0.60 + 2 * 0.3050.60 + 0.61 = 1.210.60 - 0.61 = -0.01

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3 0
1 year ago
Janet surveyed a class or students she recorded the number of hours that each student volunteered this line plot shows the resul
maks197457 [2]

Answer:

Part A: 20 students

Part B: 4 hours

Step-by-step explanation:

Part A:

To find the number of students surveyed, we count the number of x there are in the graph.

students = 1 + 2 + 3 + 5 + 1 + 1 + 3 + 2 + 2 = 20

Part B:

To find the mean, we need to find the total number of hours volunteered first.

hours = 1x0 + 2x1 + 3x3 + 5x3 + 1x4 + 1x5 + 3x6 + 2x7 + 2x8 = 80

Now, we can find the mean. We divide the total number of hours volunteered by the number of students.

Mean = 80 ÷ 20 = 4

7 0
2 years ago
The cabin of a business jet has a cabin height 5 feet 9 inches high. If a business traveler’s height is N(5'10", 2.7"), what per
klio [65]

Answer:

0.6443 = 64.43% of the business travelers will have to stoop

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:

Each feet is 12 inches

So

5'9'' = 5*12 + 9 = 69

5'10'' = 5*12 + 10 = 70

\mu = 70, \sigma = 2.7

What percentage of the business travelers will have to stoop?

This is 1 subtracted by the pvalue of Z when X = 69. So

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

Z = \frac{69 - 70}{2.7}

Z = -0.37

Z = -0.37 has a pvalue of 0.3557.

1 - 0.3557 = 0.6443

0.6443 = 64.43% of the business travelers will have to stoop

3 0
2 years ago
Which function represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis?
lakkis [162]

Answer:

g(x)=-4(\frac{1}{2})^{x}

Step-by-step explanation:

we have

f(x)=4(\frac{1}{2})^{x}

we know that

The rule of the reflection across the x-axis is

(x,f(x)) ------> (x,-f(x))

therefore

g(x)=-f(x)

g(x)=-4(\frac{1}{2})^{x}

g(x) = −4(one-half) Superscript x

see the attached figure to better understand the problem

4 0
2 years ago
Read 2 more answers
If p − 1 is a factor of p4 + p2 + p − k, the value of k is
s2008m [1.1K]
P-1 is a factor.
∴p=1 is one of the root of p⁴ + p² + p -k
f(p)  = p⁴ + p² + p - k
∴ f(1)  = 1⁴ + 1 ² + 1 - k = 0
∴ k = 3
5 0
2 years ago
Read 2 more answers
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