Need a little help checking this question, It's out of options A or C
2 answers:
Answer:
Answer is option A
Step-by-step explanation:
Given: sequence 1, 9, 17, 25, 33, 41
Now we will find the difference in consecutive terms
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
33 - 25 = 8
41 - 33 = 8
As the difference between the terms is same, so the given sequence forms an arithmetic progression .
In order to obtain the next term in the sequence add 8 to the previous term
41 + 8 = 49
49 + 8 = 57
57 + 8 = 65
Consider the AP : 1, 9, 17, 25, 33, 41, 49, 57, 65,...
Here, difference 9 ( d ) = 9-1=8
First term ( a ) = 1
We know that nth term is given by
For n = 20,
So, answer is option A.
Answer:
A
Step-by-step explanation:
Given the sequence
1, 9, 17, 25, 33, 41
Note the difference in consecutive terms
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
33 - 25 = 8
41 - 33 = 8
Since the terms have a common difference d then the sequence is arithmetic
To obtain the next term in the sequence add 8 to the previous term
41 + 8 = 49
49 + 8 = 57
57 + 8 = 65
The next 3 terms are 49, 57, 65
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference, thus
= 1 + (19 × 8) = 1 + 152 = 153
The required solution is 49, 57, 65 ; 153 → A
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Answer:
The null and alternative hypothesis are:
where μ1: mean calorie estimation for the cheesecake group and μ2: mean calorie estimation for the organic salad group.
There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first (P-value=0.0000002).
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>"Suppose that the study was based on a sample of 20 people who thought about the cheesecake first and 20 people who thought about the organic fruit salad first, and the standard deviation of the number of calories in the cheeseburger was 128 for the people who thought about the cheesecake first and 140 for the people who thought about the organic fruit salad first.</em>
<em>At the 0.01 level of significance, is there evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first?"</em>
<em />
This is a hypothesis test for the difference between populations means.
The claim is that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.
Then, the null and alternative hypothesis are:
The significance level is 0.01.
The sample 1 (cheese cake), of size n1=20 has a mean of 780 and a standard deviation of 128.
The sample 2 (organic salad), of size n2=20 has a mean of 1041 and a standard deviation of 140.
The difference between sample means is Md=-261.
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this test are:
This test is a left-tailed test, with 38 degrees of freedom and t=-6.153, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.0000002) is smaller than the significance level (0.01), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.