The 90% confidence interval for the population mean is 78.1905<x<81.8095
<h3>Confidence interval</h3>
The formula for calculating the confidence interval is expressed as:
CI = x ± z*s/√n
Given the following parameters
mean "x" = 80
z = 1.645
s = 5.5
n = 25
Substitute
CI = 80 ± 1.645*5.5/√25
CI = 80 ± 1.8095
CI = {78.1905, 81.8095}
Hence the 90% confidence interval for the population mean is 78.1905<x<81.8095
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Answer:
And we can find this probability on this way:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problm
Let X the random variable that represent the scores on an exam of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability on this way:
Answer:
rs 200
Step-by-step explanation:
Let cost price = x
At 30% profit; marked price of radio is 30% of x = (100% + 30%) = 130%x
Discount = rs 3%
Profit made = 30
Hence,
Marked price - discount = cost price + 30
130%x - 30 = x + 30
1.3x - 30 = x + 30
1.3x - x = 30 + 30
0.3x = 60
Divide both sides by 0.3
0.3x / 0.3 = 60/ 0.3
x =
1.3x / 1.3 = 60 / 1.3
x = 200
Hence, cost price = rs 200
Answer:
Probability that a girl is born is event 

Step-by-step explanation:
Given that
Let A be an event when a boy is born

Answer:
$4.86
Step-by-step explanation:
Original price: $5.40
Discount: 10%
Discount amount:
10% of $5.40 = 0.1 × $5.40 = $0.54
Discounted price:
$5.40 - $0.54 = $4.86