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). 313306309299297317315296304308 a. Use the t-test. The test statistic ist=(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 isW=(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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Answered: A liquid soap bottle is advertised with…

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

(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

(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.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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