diff --git a/htdp-doc/scribblings/htdp-langs/prim-ops.rkt b/htdp-doc/scribblings/htdp-langs/prim-ops.rkt
index f8b7b9a7..49843876 100644
--- a/htdp-doc/scribblings/htdp-langs/prim-ops.rkt
+++ b/htdp-doc/scribblings/htdp-langs/prim-ops.rkt
@@ -564,7 +564,9 @@ In contrast, when @racket[delta] is small, the test fails:
   random computation produces inexact numbers, which @racket[check-random]
   refuses to compare.
 
-  If @racket[delta] is not a number, @check-random-within-elem reports an error.}
+  If @racket[delta] is not a number, @check-random-within-elem reports an error.
+
+  @history[#:added "1.9"]}
 
   @defform*[#:id [check-error check-error-id]
             [(check-error expression expected-error-message)
diff --git a/htdp-doc/test-engine/test-engine.scrbl b/htdp-doc/test-engine/test-engine.scrbl
index d6dcffa7..bb7c370b 100644
--- a/htdp-doc/test-engine/test-engine.scrbl
+++ b/htdp-doc/test-engine/test-engine.scrbl
@@ -101,6 +101,26 @@ corresponding number in the second expression.
 It is an error for @racket[expr] or @racket[expected] to produce a function
 value.} 
 
+@defform[(check-random-within expr expected-expr delta-expr)
+          #:contracts ([delta-expr number?])]{
+Combines @racket[check-random] and @racket[check-within]. The
+@racket[expr] and @racket[expected-expr] expressions are evaluated with
+the same random-number sequence. Their values must be structurally equal,
+with every number in the first value within @racket[delta-expr] of the
+corresponding number in the second value. Inexact numbers are allowed.
+
+@examples[#:eval (mk-eval (require test-engine/racket-tests))
+(check-random-within (exact->inexact (random 100))
+                     (+ 0.01 (random 100))
+                     0.1)
+(test)
+]
+
+It is an error for @racket[expr] or @racket[expected-expr] to produce a
+function value.
+
+@history[#:added "1.9"]}
+
 @defform*[ [(check-error expr)
             (check-error expr msg-expr)]
             #:contracts ([msg-expr string?]) ]{
diff --git a/htdp-lib/info.rkt b/htdp-lib/info.rkt
index ce94567f..edd687db 100644
--- a/htdp-lib/info.rkt
+++ b/htdp-lib/info.rkt
@@ -38,7 +38,7 @@
 
 (define pkg-authors '(matthias mflatt robby "sperber@deinprogramm.de"))
 
-(define version "1.8")
+(define version "1.9")
 
 (define license
   '(Apache-2.0 OR MIT))
diff --git a/htdp-lib/test-engine/racket-tests.rkt b/htdp-lib/test-engine/racket-tests.rkt
index 5f82f2a2..588fb913 100644
--- a/htdp-lib/test-engine/racket-tests.rkt
+++ b/htdp-lib/test-engine/racket-tests.rkt
@@ -43,6 +43,10 @@
   "check-within: expects an inexact number for the range. ~s is not inexact.")
 (define CHECK-WITHIN-FUNCTION-FMT
   "check-within cannot compare functions, but the second argument is ~a.")
+(define CHECK-RANDOM-WITHIN-NUMBER-FMT
+  "check-random-within: expects a number for the range. ~s is not a number.")
+(define CHECK-RANDOM-WITHIN-FUNCTION-FMT
+  "check-random-within cannot compare functions, but the second argument is ~a.")
 (define LIST-FMT
   "check-member-of: expects a list for the second argument (the possible outcomes). Given ~s")
 (define CHECK-MEMBER-OF-FUNCTION-FMT
@@ -249,13 +253,13 @@
 ;; with the same freshly-seeded pseudo-random generator; like check-within,
 ;; the two results are compared up to the `within` tolerance.
 (define (do-check-random-within test expected-thunk within src)
-  (error-check number? within CHECK-WITHIN-INEXACT-FMT #t)
+  (error-check number? within CHECK-RANDOM-WITHIN-NUMBER-FMT #t)
   (let ((rng (make-pseudo-random-generator))
         (k (modulo (current-milliseconds) (sub1 (expt 2 31)))))
     (let ((expected (parameterize ([current-pseudo-random-generator rng])
                       (random-seed k)
                       (expected-thunk))))
-      (error-check (lambda (v) (not (procedure? v))) expected CHECK-WITHIN-FUNCTION-FMT #t)
+      (error-check (lambda (v) (not (procedure? v))) expected CHECK-RANDOM-WITHIN-FUNCTION-FMT #t)
       (execute-test
        src
        (lambda ()
@@ -266,7 +270,7 @@
                #t
                (not-within src actual expected within))))
        (lambda (exn)
-         (unexpected-error/check-* src expected exn (exn->markup exn) 'check-random))))))
+         (unexpected-error/check-* src expected exn (exn->markup exn) 'check-random-within))))))
 
 (define-syntax (check-error stx)
   (check-context! 'check-error CHECK-ERROR-DEFN-STR stx)
diff --git a/htdp-test/tests/test-engine/racket-tests.rkt b/htdp-test/tests/test-engine/racket-tests.rkt
index ea79c66c..1375c3ee 100644
--- a/htdp-test/tests/test-engine/racket-tests.rkt
+++ b/htdp-test/tests/test-engine/racket-tests.rkt
@@ -400,10 +400,25 @@
  (lambda (e)
    (initialize-test-object!)
    (and (exn:fail:contract? e)
-        (regexp-match? #rx"\"0[.]1\" is not inexact" (exn-message e))))
+        (regexp-match? #rx"^check-random-within:.*\"0[.]1\" is not a number" (exn-message e))))
  (lambda ()
    (run-tests!)))
 
+;; A function in the expected position names the correct check form.
+(check-random-within 1.0 (lambda (x) x) 0.1)
+(check-exn
+ (lambda (e)
+   (initialize-test-object!)
+   (and (exn:fail:contract? e)
+        (regexp-match? #rx"^check-random-within cannot compare functions"
+                       (exn-message e))))
+ (lambda () (run-tests!)))
+
+;; An exception in the tested expression also names the correct check form.
+(check-random-within (error 'random-test "failed") 1.0 0.1)
+(check-failure unexpected-error/check-*?
+               unexpected-error/check-*-form-name 'check-random-within)
+
 (check-property
  (for-all ((a Integer)
            (b Integer))