In quality–control applications of hypothesis​ testing, the null and alternative hypotheses are frequently specified as H0​: The production process is performing satisfactorily and Ha​: The process is performing in an unsatisfactory manner.​ Accordingly, α is sometimes referred to as the​ producer's risk, while β is called the​ consumer's risk. An injection molder produces plastic golf tees with a mean weight of 0.252 ounce. To investigate whether the injection molder is operating​ satisfactorily, 40 tees were randomly sampled from the last​ hour's production. Their weights​ (in ounces) are listed in the accompanying table. Complete parts a through g. 0.248 0.251 0.249 0.250 0.255 0.251 0.251 0.248 0.248 0.251   0.254 0.252 0.256 0.251 0.252 0.253 0.250 0.254 0.254 0.254 0.251 0.251 0.252 0.249 0.249 0.251 0.252 0.253 0.248 0.252 0.252 0.252 0.249 0.252 0.249 0.253 0.252 0.249 0.249 0.251 b. Access the data and find x and s.   x = enter your response here s = enter your response here     ​(Round to four decimal places as​ needed.)

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In

quality–control

applications of hypothesis​ testing, the null and alternative hypotheses are frequently specified as

H0​:

The production process is performing satisfactorily and

Ha​:

The process is performing in an unsatisfactory manner.​ Accordingly,

α

is sometimes referred to as the​ producer's risk, while

β

is called the​ consumer's risk. An injection molder produces plastic golf tees with a mean weight of

0.252

ounce. To investigate whether the injection molder is operating​ satisfactorily,

40

tees were randomly sampled from the last​ hour's production. Their weights​ (in ounces) are listed in the accompanying table. Complete parts a through

g.
0.248
0.251
0.249
0.250
0.255
0.251
0.251
0.248
0.248
0.251
 
0.254
0.252
0.256
0.251
0.252
0.253
0.250
0.254
0.254
0.254
0.251
0.251
0.252
0.249
0.249
0.251
0.252
0.253
0.248
0.252
0.252
0.252
0.249
0.252
0.249
0.253
0.252
0.249
0.249
0.251
b. Access the data and find
x
and s.
 
x
=
enter your response here
s
=
enter your response here
 
 
​(Round to four decimal places as​ needed.)

 

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d. Find the​ p-value for the test.
 
​p-value=enter your response here
​(Round to three decimal places as​ needed.)

 

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Follow-up Question
c. Calculate the test statistic.
 
z=enter your response here
​(Round to two decimal places as​ needed.)

 

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