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MakcuM [25]
3 years ago
5

The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate o

f the mean. He selects a random sample of 49 trucks passing the weighing station and finds the sample mean is 15.8 tons. The population standard deviation is 3.8 tons. What is the 95 percent confidence interval for the population mean
Mathematics
1 answer:
kaheart [24]3 years ago
4 0

Answer:

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

Step-by-step explanation:

We have the population's standard deviation, so we can find the normal confidence interval.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{3.8}{\sqrt{49}} = 1.064

The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons

The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

You might be interested in
Solve the proportion and round your answer to the nearest tenth.
GalinKa [24]

Answer:

y = 1.1

Step-by-step explanation:

Proportion is a statement that two ratios are equal.

It can be written in two ways:

  • Two equal fractions \frac{a}{b} = \frac{c}{d}
  • Two equal sides a: b = c: d.

We can use cross products to find a missing term in it.

Let us solve the question

∵ The proportion statement is \frac{7.7}{15.4} = \frac{y}{2.2}

→ Use the  cross multiplication to find y

∵ y × 15.4 = 7.7 × 2.2

∴ 15.4y = 16.94

→ Divide both sides by 15.4 to find y

∵ \frac{15.4y}{15.4} = \frac{16.94}{15.4}

∴ y = 1.1

<em>No need to round it to the nearest tenth because the answer has no hundredth to round it to the tenth</em>

8 0
2 years ago
PLEASE HELP!!!!!PLEASE.
alisha [4.7K]
Can you put spaces to make these easier to read? Plus, none of these have a horizontal asymphote of y = -3. At least if I’m understanding what you put correctly, A does have a vertical asymphote of x = -3 however.
6 0
3 years ago
PLEASE HELP
kolbaska11 [484]

Answer:

  • a) P(x) = 32000*1.04^x
  • b) $37435
  • c) During year 7

Step-by-step explanation:

<u>Given</u>

  • Initial pay = $32000
  • Increase rate = 4%

a. <u>Formula</u>

  • P(x) = 32000*1.04^x

b. Year 5 is after 4 years, so we are looking for the value of P(4)

  • P(4) = $32000*1.04^4 = $37435

c. <u>P(x) = 40000, x = ?</u>

  • 40000 = 32000*1.04^x
  • 1.04^x = 40000/32000
  • 1.04^x = 1.25
  • log 1.04^x = log 1.25
  • x = log 1.25 / log 1.04
  • x = 5.69, this is 6 years after

The required number of the years is 6 + 1 = 7

3 0
2 years ago
OLEASE DO THIS ITS EASY PKEAS EI NEED TO FINISH IT NOW PKEASE
KATRIN_1 [288]
For x y chart 19.36.2.27.13
8 0
3 years ago
Not sure what it is wanting
Gnesinka [82]

Answer:

8 baseballs : 4 gloves

4 baseballs : 2 gloves

16 baseballs : 8 gloves

2 baseballs : 1 glove

10 baseballs : 5 gloves

Step-by-step explanation:

I think It's just asking to put some ratios that go with the one given.

3 0
3 years ago
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