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ASHA 777 [7]
3 years ago
12

[Inequalities] Please help and thanks.

Mathematics
2 answers:
hram777 [196]3 years ago
5 0

Answer:

1.  n ≥ = 15

2.  n ≤ = $7

<em>hope this helps!</em>

Explanation:

the reason for  number 1's answer is because ≥  means greater than or equal to. the reason for number 2's answer is because ≤ less than or equal to.

please mark as brainliest! :)

sergeinik [125]3 years ago
3 0

At least means it can be larger than or equal to.

X >= 15

No more than means less than or equal to:

X <= $7

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A researcher wants to see if birds that build larger nests lay larger eggs. He selects two random samples of nests: one of small
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Answer:

95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.

Step-by-step explanation:

Confidence interval is given by mean +/- margin of error (E)

Eggs from small nest

Sample size (n1) = 60

Mean = 37.2

Sample variance = 24.7

Eggs from large nest

Sample size (n2) = 159

Mean = 35.6

Sample variance = 39

Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11

Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93

Difference in mean = 37.2 - 35.6 = 1.6

Degree of freedom = n1+n2 - 2 = 60+159-2 = 217

Confidence level = 95%

Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132

E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79

Lower limit = mean - E = 1.6 - 0.79 = 0.81

Upper limit = mean + E = 1.6 + 0.79 = 2.39

95% confidence interval for the difference in average mass is (0.81, 2.39)

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