A sporting goods store believes the average age of its customers is 38 or less. A random sample of 40 customers was​ surveyed, and the average customer age was found to be 41.6 years. Assume the standard deviation for customer age is 8.0 years. Using alphaequals0.05​, complete parts a and b below. a. Does the sample provide enough evidence to refute the age claim made by the sporting goods​ store? Determine the null and alternative hypotheses. Upper H 0​: mu less than or equals 38 Upper H 1​: mu greater than 38 The​ z-test statistic is 2.85. ​(Round to two decimal places as​ needed.) The critical​ z-score(s) is(are) 1.64. ​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.) Because the test statistic is greater than the critical value, reject the null hypothesis. b. Determine the​ p-value for this test. The​ p-value is . 998. ​(Round to three decimal places as​ needed.)

What kind of bond pays interest which is exempt from tax?

Big boi and travis scott are performing at the super bowl. travis scott is 62 years younger than twice big boi’s age. the sum of their ages is 70 years old. use b to represent big boi’s age. write and solve an equation.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)