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Contact [7]
2 years ago
15

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.8 parts

/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 10 samples is 6.4 ppm with a standard deviation of 1.1. Does the data support the claim at the 0.05 level
Mathematics
1 answer:
Gnoma [55]2 years ago
5 0

Answer:

The test statistics fall in the critical region and hence null hypothesis is to be rejected.

Step-by-step explanation:

The null hypothesis : H0 : Mean = 6.80  

Alternative hypothesis: Ha: Mean is not equal to 6.80

As per the z statistics  

z = (x’-mean)/(sigma/sqrt n)

Substituting the given values, we get –  

z = 6.4-6.8/(1.1/sqrt 10)

z = -1.149

z test statistics is -1.149

Critical value for two tailed test at 98% confidence is .10749

The test statistics fall in the critical region and hence null hypothesis is to be rejected.

You might be interested in
2/3 -4x + 7/2 = -9x + 5/6
kirza4 [7]

Answer:

Step-by-steplanation:

Add: 1

2

+ 2

5

= 1 · 5

2 · 5

+ 2 · 2

5 · 2

= 5

10

+ 4

10

= 5 + 4

10

= 9

10

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 5) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - one half plus two fifths = nine tenths.

Conversion a mixed number 6 2

7

to a improper fraction: 6 2/7 = 6 2

7

= 6 · 7 + 2

7

= 42 + 2

7

= 44

7

To find new numerator:

a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 7

7

= 42

7

b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44

c) Write previous answer (new numerator 44) over the denominator 7.

Six and two sevenths is forty-four sevenths

Add: the result of step No. 1 + 44

7

= 9

10

+ 44

7

= 9 · 7

10 · 7

+ 44 · 10

7 · 10

= 63

70

+ 440

70

= 63 + 440

70

= 503

70

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(10, 7) = 70. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 7 = 70. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - nine tenths plus forty-four sevenths = five hundred three seventieths.

3 0
3 years ago
Lindsey sold stationery to her family and her mother's friends shw deposited the $125 shw earned in a savings account. The accou
Leona [35]
Your Answer will be: $134.71
8 0
2 years ago
Read 2 more answers
If the third term in a geometric sequence is 20, and the fifth term in the
Gwar [14]

Answer: A) 1/2

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

If the third term is 20, it means that

T3 = 20 = ar^(3 - 1)

20 = ar²- - - - - - - - - - 1

If the third term is 20, it means that

T5 = 5 = ar^(5 - 1)

5 = ar⁴- - - - - - - - - - 2

Dividing equation 2 by equation 1, it becomes

5/20 = r⁴/r²

1/4 = r^(4 - 2)

(1/2)² = r²

r = 1/2

6 0
3 years ago
How do i do #3? I dont know how to do the whole problem.
lisov135 [29]
You have to put the problem down we cant help you if its not there
sorry but please put equation in or problem
3 0
3 years ago
Jo is looking for a new part-time job as a plumber. She responds to a classified ad for a position that pays 44.9K. What would h
hoa [83]

Answer:

855.77

Step-by-step explanation:

44500/52 equals 855.77

3 0
3 years ago
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