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Marina86 [1]
2 years ago
13

The reserve capacities (in hours) of 18 randomly selected automotive batteries are listed. Use a 99% level of confidence. (Adapt

ed from Consumer Reports) 1.70 1.60 1.94 1.58 1.74 1.60 1.86 1.72 1.38 1.46 1.64 1.49 1.55 1.70 1.75 0.88 1.77 2.07
Mathematics
1 answer:
BartSMP [9]2 years ago
7 0

Answer:

99% confidence interval is (1.75, 5.61)

Step-by-step explanation:

From the data above, mean is 3.68 and sd is 2.06. n = 18, degree of freedom = n-1 = 18-1 = 17. t-value corresponding to 17 degrees of freedom and 99% confidence level is 3.965

Confidence Interval (CI) = mean + or - (t×sd)/√n

CI = 3.68 + (3.965×2.06)/√18 = 3.68 + 8.1679/4.243 = 3.68 + 1.93 = 5.61

CI = 3.68 - (3.965×2.06)/√18 = 3.68 - 8.1678/4.243 = 3.68 - 1.93 = 1.75

99% confidence interval is (1.75, 5.61)

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<h3>Given ↓</h3>
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<h3>To Find ↓</h3>
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<h3>Calculations ↓</h3>

When we have two points that a line passes through and asked to determine the slope of the line, the slope formula is going to come in handy.

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5 0
2 years ago
A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If
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Answer:

28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

Step-by-step explanation:

Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?

Solution:

Total Strands = 80

White Strands = 35%

No. of white strands = 35\% \times 80 =\frac{35}{100} \times 80 =28

Blue Strands = 25%

No. of blue strands = 25\% \times 80 =\frac{25}{100} \times 80 =20

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No. of Red strands = 40\% \times 80 =\frac{40}{100} \times 80 =32

Hence 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

3 0
3 years ago
Read 2 more answers
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