A liquid soap bottle is advertised with a content of 310 milliliters​ (mL). Ten bottles are randomly selected and found to have contents shown below in mL. A normal probability plot indicates that you can assume the contents are normally distributed. Let μ denote the mean content of all bottles produced. To decide whether the mean content is less than​ advertised, perform the hypothesis test with H0​:μ=310 and Ha​:μ<310 at the10​%significance level. Complete parts​ (a) through​ (c).   313 306 309 299 297 317 315 296 304 308     a. Use the​ t-test.   The test statistic is t= ​(Round to two decimal places as​ needed.)   Identify the critical​ value(s). Select the correct choice below and fill in the answer box within your choice. ​(Round to two decimal places as​ needed.)

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A liquid soap bottle is advertised with a content of 310 milliliters​ (mL). Ten bottles are randomly selected and found to have contents shown below in mL. A normal probability plot indicates that you can assume the contents are normally distributed. Let μ denote the mean content of all bottles produced. To decide whether the mean content is less than​ advertised, perform the hypothesis test with H0​:μ=310 and Ha​:μ<310 at the10​%significance level. Complete parts​ (a) through​ (c).
 
313
306
309
299
297
317
315
296
304
308
 
 
a. Use the​ t-test.
 
The test statistic is
t=
​(Round to two decimal places as​ needed.)
 
Identify the critical​ value(s). Select the correct choice below and fill in the answer box within your choice.
​(Round to two decimal places as​ needed.)
 
Use the Wilcoxon​ signed-rank test.
 
The test statistic is
W=
​(Round to one decimal place as​ needed.)
Identify the critical​ value(s). Select the correct choice below and fill in the answer​ box(es) within your choice.
 
 
A.
The critical values are
 
and
 
​(Type integers or decimals. Do not round. Use ascending​ order.)
 
B.
The critical value is
​(Type an integer or a decimal. Do not​ round.)
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