Cate solved an inequality to find c, the possible number of cats that a shelter can house. She found that c < 28. Which state
2 answers:
Answer:
Possible values of c are
For example: The shelter can house 17 cats because 17 < 28.
Step-by-step explanation:
Let c be the number of cats.
The given inequality is
We need to find the possible number of cats that a shelter can house.
The number number of cats can not be
1. A fraction value
2. A Decimal value
3. A negative value
Since c<28, therefore the number of cats must be greater that or equal to 0 and less that 28.
The possible values of c are
For example: The shelter can house 17 cats because 17 < 28.
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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].