Consider Ho: µ = 72 versus H 1: µ > 72. A random sample of 16 observations taken

ID: 3395236 • Letter: C

Question

Consider Ho: µ = 72 versus H1: µ > 72. A random sample of 16 observations taken from this population produced a sample mean of 75.2. The population is normally distributed with = 6.

Find the test-statistic: A) 2.133 B) 2.883 C) 1.223 D) 3.002

Calculate the p-value A) 0.3351 B) 0.0166 C) 0.3522 D) 0.2214

Consider the p-value of part b), would you reject the null hypothesis if the test were made at the significance level of 0.01?

Yes, reject H0 B) No, fail to reject H0

Explanation / Answer

Consider Ho: µ = 72 versus H1: µ > 72. A random sample of 16 observations taken from this population produced a sample mean of 75.2. The population is normally distributed with = 6.

Find the test-statistic: A) 2.133 B) 2.883 C) 1.223 D) 3.002

Answer A 2.133

Calculate the p-value A) 0.3351 B) 0.0166 C) 0.3522 D) 0.2214

Answer B 0.0166

Consider the p-value of part b), would you reject the null hypothesis if the test were made at the significance level of 0.01?

Yes, reject H0 B) No, fail to reject H0

Answer B No, fail to reject H0 ( calculated P=0.0166 > 0.01 level)

Z Test of Hypothesis for the Mean

Data

Null Hypothesis m=

Level of Significance

0.05

Population Standard Deviation

Sample Size

Sample Mean

75.2

Intermediate Calculations

Standard Error of the Mean

1.5000

Z Test Statistic

2.1333

Upper-Tail Test

Upper Critical Value

2.3263

p-Value

0.0166