Answer:
Type I error
Step-by-step explanation:
A type I error occurs if the null hypothesis is rejected when it is actually true.
Type I Type II
Reject null when true Fail to reject null when not true
Null hypothesis: ∪ = 30%
Alternative hypothesis: ∪ > 30%
The researchers concluded that more than 30% of first-grade students at this school have entered the concrete operational stage of development and they rejected the null hypothesis.
However, a census actually found that in the population of all first graders at this school, only 28% have entered the concrete operational stage.
A type I error has been made because in actuality the null hypothesis was true but was rejected.
<span> To get an explicit formula, we need to find an expression which gives the n-th term without having to compute earlier terms in the sequence. Looking at the numbers, and from the recursive formula, we see that the sequence is built by subtracting n from the previous term. This is similar to the triangular number sequence 1,3,6,10,15,... which has the explicit formula a_n = n(n+1)/2. In our case we are subtracting n from the previous term, so we multiply by -1/2 instead of 1/2. However, we also need to add a constant term to reproduce the numbers of the sequence. We can write a_1 = -1(2)/2 + c = 8. Therefore, c = 9.
So the explict formula is:
a_n = -n(n+1)/2 + 9</span>
Answer:
920 points.
Step-by-step explanation:
We have been given that the mean score for a standardized test is 800 and the standard deviation is 120. To qualify for a special summer camp for accelerated students, a student must score within the top 16% of all scores on the test.
First of all we will find probability of 0.16 using normal distribution table.
Using normal distribution our Z score will be 0.994458
Now we will use raw-score formula to find the score (x) that a student must make to qualify for summer camp.

Upon substituting our given values in above formula we will get,


Upon rounding to nearest whole number we will get,

Therefore, a student must make 920 points to qualify for summer camp.
Equation giving the length of this rod at temperature is g = 0.000085t + 84.991075 cm.
What is temperature ?
- A temperature is a unit used to represent voguishness or coolness on any of a number of scales, including Fahrenheit and Celsius.
- According to temperature, heat energy will naturally move from a hotter( body with an advanced temperature) to a colder( body with a lower temperature)( one at a lower temperature).
Given that,
Temperature denoted by T
G - L = aL(t - T)
G = aLt + L(1 - aT)
Slope = aL
Intercept = L(1 - aT)
g = 0.000085t + 84.991075 cm
Learn more about temperature here: brainly.com/question/24746268
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Answer: Yes it is a reflection
Step-by-step explanation: