Suppose that a biologist is concerned about the effects of a nearby construction site on the nesting behavior of an endangered bird. in this fictional study, nesting behavior is measured by counting the number of trips to the nest per hour for an individual bird. the biologist compares a random sample of 16 birds near the construction site to a random sample of 16 birds in an undisturbed location. for both groups, dot plots of these counts are fairly symmetric without strong skew. the biologist conducts a two-sample t-test to determine whether this sample provides significant evidence that birds near a construction site make fewer trips to the nest per hour. the biologist uses a 5% significance level. the test statistic is t = 1.81 with a p-value 0.04. which of the following is an appropriate conclusion? group of answer choices the samples provide statistically significant evidence that birds near a construction site make fewer trips to the nest per hour. the biologist cannot use the t-test in this case because the sample sizes are too small. the samples do not provide statistically significant evidence that birds near a construction site make less trips to the nest per hour.

The samples do not provide statistically significant evidence that birds near a construction site make less trips to the nest per hour.

Step-by-step explanation:

Let the null hypothesis is :birds near a construction site make fewer trips to the nest per hour

and, Alternative hypothesis: birds near a construction site didn't make fewer trips to the nest per hour

Since we have all required statistic to calculate the t-test.

Also, Since the p-value < t-test.

Thus, we reject the Null-hypothesis.

And, we conclude that The samples do not provide statistically significant evidence that birds near a construction site make less trips to the nest per hour.

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4

answer: can you show the options ?

step-by-step explanation: