Question
A company claimed that every18-ounce bag of their chocolate chip cookies contained at least 1000 chocolate chips. Dedicated statistics students at a school purchased some
A company claimed that every18-ounce bag of their chocolate chip cookies contained at least 1000 chocolate chips. Dedicated statistics students at a school purchased some randomly selected bags of cookies and counted the chocolate chips. Some of their data are given below.
a) Check the assumptions and conditions for inference. Comment on any concerns you have.
b) Test their claim by performing an appropriate hypothesis test.
1219
1200
1083
1204
1407
1125
1325
1359
1235
1271
1371
1137
1187
1278
1309
1122
a) The independence condition is plausibly
satisfied and the Nearly Normal Condition is plausibly
satisfied.Therefore, using theStudent-t model for inference should be
reliable.
b) Create an appropriate hypotheses for the test.
H0: mu equals 1000
=1000
HA: mu greater than 1000
>1000
The test statistic is t=
nothing
.
(Round to two decimal places asneeded.)
TheP-value is
nothing
.
(Round to three decimal places asneeded.)
State your conclusion. Use =0.05.
Reject
Do not reject
the null hypothesis. There
is not
is
sufficient evidence to conclude that the mean number of chips is
greater than
equal to
less than
different from
about 1000.
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