Agraduate student wanted to estimate the average time spent studying among graduate students at her school. she randomly sampled graduate students from her school and obtained a 99% confidence interval of (17,25) hours/week. which of the following would be true if the level of confidence was lowered to 95%? choose the correct answer below. a. the width of the confidence interval would remain the same. b. the width of the confidence interval would be smaller. c. the width of the confidence interval would be larger. d. more information is needed to determine what would happen to the width of the confidence interval.

B. The width of the confidence interval would be smaller.

Step-by-step explanation:

By reducing the confidence level from 99% to 95%, the student assumes that there is more uncertainty about the new confidence interval than the previous one. That, being said, since the results aren't as certain, the confidence interval is widened towards a central average point because the new interval isn't as accurate.

Therefore, the answer is B. The width of the confidence interval would be smaller.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

center= (-2,0)

radius= sqrt2/2

step-by-step explanation: