Answer:
Step-by-step explanation:
The triangle CDE is shown in the image attached.
The formula for calculate the distance between two points is:
Then, we can calculate the lenght of each side of the triangle:
Therefore, the perimeter is:
Consider a disease whose presence can be identified by carrying out a blood test. Let p denote the probability that a randomly s
1 answer:
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The frequency table is attached.
Since there were 30 people out of the 60 that received cold medicine, that means that 60-30=30 people did not.
Since 26 people had a cold longer than 7 days, this means 60-26=34 had a cold that was less than or equal to 7 days.
14 people had a cold longer than 7 days and received medicine; this means that 26-14=12 people had a cold longer than 7 days and did not receive medicine.
30-14=16 people received medicine and had a cold less than or equal to 7 days.
30-12=18 people did not receive medicine and had a cold less than or equal to 7 days.
Since there were 30 people out of the 60 that received cold medicine, that means that 60-30=30 people did not.
Since 26 people had a cold longer than 7 days, this means 60-26=34 had a cold that was less than or equal to 7 days.
14 people had a cold longer than 7 days and received medicine; this means that 26-14=12 people had a cold longer than 7 days and did not receive medicine.
30-14=16 people received medicine and had a cold less than or equal to 7 days.
30-12=18 people did not receive medicine and had a cold less than or equal to 7 days.
Answer:
99% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases is [$(-31.82) , $12.02].
Step-by-step explanation:
We are given that a random sample of 16 sales receipts for mail-order sales results in a mean sale amount of $74.50 with a standard deviation of $17.25.
A random sample of 9 sales receipts for internet sales results in a mean sale amount of $84.40 with a standard deviation of $21.25.
The pivotal quantity that will be used for constructing 99% confidence interval for true mean difference is given by;
P.Q. = ~
where, = sample mean for mail-order sales = $74.50
= sample mean for internet sales = $84.40
= sample standard deviation for mail-order purchases = $17.25
= sample standard deviation for internet purchases = $21.25
= sample of sales receipts for mail-order purchases = 16
= sample of sales receipts for internet purchases = 9
Also, =
= 18.74
The true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases is represented by ().
Now, 99% confidence interval for () is given by;
=
Here, the critical value of t at 0.5% level of significance and 23 degrees of freedom is given as 2.807.
=
= [$-31.82 , $12.02]
Hence, 99% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases is [$(-31.82) , $12.02].