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.)
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.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 58CR
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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.
The critical values are
and
(Type integers or decimals. Do not round. Use ascending order.)
The critical value is
(Type an integer or a decimal. Do not round.)
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