Question
In: Statistics and Probability
A coffee company sells bags of coffee beans with an advertised weight of 454 grams. A...
A coffee company sells bags of coffee beans with an advertised weight of 454 grams. A random sample of 20 bags of coffee beans has an average weight of 457 grams. Weights of coffee beans per bag are known to follow a normal distribution with standard deviation 4 grams.
(a) Construct a 95% confidence interval for the true mean weight of all bags of coffee beans. (1 mark)
(b) Provide an interpretation of the confidence interval in (a). (1 mark) (c) Conduct a hypothesis test at the 5% level of significance to determine if there is evidence that the true mean weight of all bags of coffee beans differs from 454 grams. You will be marked on your calculation of the appropriate test statistic, P-value and a carefully worded conclusion.
(d) Provide an interpretation of the P-value in (c). (1 mark)
(e) Could the confidence interval in (a) have been used to conduct the test in (c)? Explain why or why not. If it could have been used, what would your conclusion be and why? (1 mark)
Solutions
orchestra answered 2 years agoRelated Solutions
A coffee company sells bags of coffee beans with an advertised weight of 454 grams. A...
A coffee company sells bags of coffee beans with an advertised
weight of 454 grams. A random sample of 20 bags of coffee beans has
an average weight of 457 grams. Weights of coffee beans per bag are
known to follow a normal distribution with standard deviation 5
grams.
(a) Construct a 95% confidence interval for the true mean weight
of all bags of coffee beans. (Instead of typing ±, simply type +-.)
(1 mark)
(b) Provide an interpretation of...
9. A company that produces snack foods uses a machine to package 454 grams bags of...
9. A company that produces snack foods uses a machine to package
454 grams bags of potato hips. A random sample of 49 bags of potato
chips has a mean of 450 grams and standard deviation of 8.48 grams.
Perform a hypothesis test at the 5% significance level to determine
if the machine is working properly
A company packages pretzels into individual bags, each having an advertised mean weight of 454.0 g....
A company packages pretzels into individual bags, each having an
advertised mean weight of 454.0 g. A quality control engineer takes
regular samples and test them. From experience, the engineer can
expect a population standard deviation of 7.8 g when the machinery
is operating correctly. During one such test, a random sample of 25
bag shows the mean weight to be 450.0 g. Is there a problem with
the equipment at the 5% level of confidence? What would be the...
Hana Coffee Company roasts and packs coffee beans. The process begins by placing coffee beans into...
Hana Coffee Company roasts and packs coffee beans. The process
begins by placing coffee beans into the Roasting Department. From
the Roasting Department, coffee beans are then transferred to the
Packing Department. The following is a partial work in process
account of the Roasting Department at July 31:
ACCOUNT Work in Process—Roasting
Department
ACCOUNT NO.
Date
Item
Debit
Credit
Balance
Debit
Credit
July
1
Bal., 5,400 units, 2/5 completed
10,476
31
Direct materials, 243,000 units
437,400
447,876
31
Direct labor...
Hana Coffee Company roasts and packs coffee beans. The process begins by placing coffee beans into...
Hana Coffee Company roasts and packs coffee beans. The process
begins by placing coffee beans into the Roasting Department. From
the Roasting Department, coffee beans are then transferred to the
Packing Department. The following is a partial work in process
account of the Roasting Department at July 31: ACCOUNT Work in
Process—Roasting Department ACCOUNT NO. Date Item Debit Credit
Balance Debit Credit July 1 Bal., 5,400 units, 2/5 completed 13,392
31 Direct materials, 243,000 units 558,900 572,292 31 Direct labor...
Hana Coffee Company roasts and packs coffee beans. The process begins by placing coffee beans into...
Hana Coffee Company roasts and packs coffee beans. The process
begins by placing coffee beans into the Roasting Department. From
the Roasting Department, coffee beans are then transferred to the
Packing Department. The following is a partial work in process
account of the Roasting Department at July 31:
ACCOUNT Work in Process—Roasting
Department
ACCOUNT NO.
Date
Item
Debit
Credit
Balance
Debit
Credit
July
1
Bal., 4,900 units, 4/5 completed
6,958
31
Direct materials, 220,500 units
264,600
271,558
31
Direct labor...
Hana Coffee Company roasts and packs coffee beans. The process begins by placing coffee beans into...
Hana Coffee Company roasts and packs coffee beans. The process
begins by placing coffee beans into the Roasting Department. From
the Roasting Department, coffee beans are then transferred to the
Packing Department. The following is a partial work in process
account of the Roasting Department at July 31:
ACCOUNT Work in Process—Roasting
Department
ACCOUNT NO.
Date
Item
Debit
Credit
Balance
Debit
Credit
July
1
Bal., 30,000 units, 10% completed
121,800
31
Direct materials, 155,000 units
620,000
741,800
31
Direct labor...
Hana Coffee Company roasts and packs coffee beans. The process begins by placing coffee beans into...
Hana Coffee Company roasts and packs coffee beans. The process
begins by placing coffee beans into the Roasting Department. From
the Roasting Department, coffee beans are then transferred to the
Packing Department. The following is a partial work in process
account of the Roasting Department at July 31:
ACCOUNT Work in Process—Roasting
Department
ACCOUNT NO.
Date
Item
Debit
Credit
Balance
Debit
Credit
July
1
Bal., 30,000 units, 10% completed
121,800
31
Direct materials, 155,000 units
620,000
741,800
31
Direct labor...
Hana Coffee Company roasts and packs coffee beans. The process begins by placing coffee beans into...
Hana Coffee Company roasts and packs coffee beans. The process
begins by placing coffee beans into the Roasting Department. From
the Roasting Department, coffee beans are then transferred to the
Packing Department. The following is a partial work in process
account of the Roasting Department at July 31:
ACCOUNT Work in Process—Roasting
Department
ACCOUNT NO.
Date
Item
Debit
Credit
Balance
Debit
Credit
July
1
Bal., 4,100 units, 2/5 completed
13,366
31
Direct materials, 184,500 units
553,500
566,866
31
Direct labor...
Hana Coffee Company roasts and packs coffee beans. The process begins by placing coffee beans into...
Hana Coffee Company roasts and packs coffee beans. The process
begins by placing coffee beans into the Roasting Department. From
the Roasting Department, coffee beans are then transferred to the
Packing Department. The following is a partial work in process
account of the Roasting Department at July 31:
ACCOUNT Work in Process—Roasting
Department
ACCOUNT NO.
Date
Item
Debit
Credit
Balance
Debit
Credit
July
1
Bal., 5,200 units, 1/5 completed
13,832
31
Direct materials, 234,000 units
608,400
622,232
31
Direct labor...
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