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dimaraw [331]
3 years ago
10

A simple random sample of 27 filtered​ 100-mm cigarettes is obtained from a normally distributed​ population, and the tar conten

t of each cigarette is measured. The sample has a standard deviation of 0.20 mg. Use a 0.05 significance level to test the claim that the tar content of filtered​ 100-mm cigarettes has a standard deviation different from 0.30 ​mg, which is the standard deviation for unfiltered​ king-size cigarettes. Complete parts​ (a) through​ (d) below. a. What are the null and alternative​ hypotheses?
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
7 0

Answer:

The null hypothesis is H_0: \sigma = 0.3

The alternative hypothesis is H_1: \sigma \neq 0.3

Step-by-step explanation:

Test if the tar content of filtered​ 100-mm cigarettes has a standard deviation different from 0.30 ​mg.

At the null hypothesis, we test if the standard deviation is of 0.3, that is:

H_0: \sigma = 0.3

At the alternative hypothesis, we test if the standard deviation is different of 0.3, that is:

H_1: \sigma \neq 0.3

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Construct a​ 95% confidence interval for the population standard deviation sigma of a random sample of 15 crates which have a me
Ad libitum [116K]

Answer:

There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds

Step-by-step explanation:

Given that mean (μ) = 165.2 pounds, standard deviation (σ) = 12.4 pounds, sample size (n) = 15 crates. Confidence (C) = 95% = 0.95

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 corresponds to the z score of 0.475 (0.5 - 0.025) which is 1.96. z_{\frac{\alpha}{2} }=1.96

The margin of error (E) is given by:

E=z_{\frac{\alpha}{2} }\frac{\sigma}{\sqrt{n} } =1.96*\frac{12.4}{\sqrt{15} }= 6.28

The confidence interval = μ ± E = 165.2 ± 6.28 = (158.92, 171.48)

The confidence interval is between 158.92 pounds and 171.48 pounds. There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds

4 0
3 years ago
If 3/4 of a certain number is equal to 9 find the number <br>​
NeTakaya

write the equation.

3/4n=9

now solve.

3/4n=9

/3/4  /3/4

n=12

---

hope it helps

4 0
3 years ago
Read 2 more answers
How to find the mean of 2, 7, 6, 1, 9, 2, 4, 9
Lady_Fox [76]

Answer:

5

Step-by-step explanation:

Add the numbers together, then divide that by the amount of numbers

(2 + 7 + 6 + 1 + 9 + 2 + 4 + 9)/8

40/8 = 5

6 0
3 years ago
10 more than twice gorans age
Rasek [7]

Answer:

2x+10

Step-by-step explanation:

x is gorans age

6 0
4 years ago
What is the explicit formula for this sequence?<br> -7, -3, 1, 5, ...
alukav5142 [94]

Answer:

Step-by-step explanation:

a1 = - 7

d = 4

an = a1 + (n - 1) * d

an = - 7 + (n - 1) * 4

an = - 7 + 4n - 4

an = -11 + 4n

Try this out. Let n = 3

a3 = -11 + 4*3

a3 = - 11 + 12

a3 = 1   Which is what the series says.

8 0
3 years ago
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