Given:
Required:
To calculate reference angle
Explanation:
Required answer:
Option B
2^2 x 5^2 is the prime factorization of what number
2 answers:
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Answer:
80% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases () is [-9.132 , 23.332].
Step-by-step explanation:
We are given that a random sample of 7 sales receipts for mail-order sales results in a mean sale amount of $81.70 with a standard deviation of $18.75.
A random sample of 11 sales receipts for internet sales results in a mean sale amount of $74.60 with a standard deviation of $28.25.
Firstly, the Pivotal quantity for 80% confidence interval for the difference between population means is given by;
P.Q. = ~
where, = sample mean sales receipts for mail-order sales = $81.70
= sample mean sales receipts for internet sales = $74.60
= sample standard deviation for mail-order sales = $18.75
= sample standard deviation for internet sales = $28.25
= size of sales receipts for mail-order sales = 7
= size of sales receipts for internet sales = 11
Also, =
= 25.11
<em>Here for constructing 80% confidence interval we have used Two-sample t test statistics as we don't know about population standard deviations.</em>
<em />
So, 80% confidence interval for the difference between population means, () is ;
P(-1.337 < < 1.337) = 0.80 {As the critical value of t at 16 degree
of freedom are -1.337 & 1.337 with P = 10%}
P(-1.337 < < 1.337) = 0.80
P( <
<
) = 0.80
P( < (
) <
) = 0.80
<u>80% confidence interval for</u> () =
[ ,
]
= [ ,
]
= [-9.132 , 23.332]
Therefore, 80% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases () is [-9.132 , 23.332].
For each question, there is a 1/2 chance at getting the question correct by guessing.
Let's take a scenario to better understand.
Suppose the true-false paper has 5 questions. For a perfect score by guessing, you'd need to get all 5 correct (ie (1/2)⁵)
The reason why you multiply is because you need each 1/2 simultaneously for a perfect score, which is an important concept when doing binomial probability later on.
Thus, let's use this knowledge to answer the question.
We need the minimum amount of questions such that the probability is less than 1/10.
We can write an inequality for this:
Now, we need to log both sides to find n.
n > 3.3219...
n ≈ 4
Thus, 4 questions is the minimum number of questions needed.
Let's take a scenario to better understand.
Suppose the true-false paper has 5 questions. For a perfect score by guessing, you'd need to get all 5 correct (ie (1/2)⁵)
The reason why you multiply is because you need each 1/2 simultaneously for a perfect score, which is an important concept when doing binomial probability later on.
Thus, let's use this knowledge to answer the question.
We need the minimum amount of questions such that the probability is less than 1/10.
We can write an inequality for this:
Now, we need to log both sides to find n.
n > 3.3219...
n ≈ 4
Thus, 4 questions is the minimum number of questions needed.