The manufacturer of an airport baggage scanning machine clai

The manufacturer of an airport baggage scanning machine claims it can handle an average of 531 bags per hour.

a.

At = 0.05 in a left-tailed test, would a sample of 16 randomly chosen hours with a mean of 511 and a standard deviation of 59 indicate that the manufacturer\'s claim is overstated? Choose the appropriate hypothesis.

H₀: < 531. Reject H₀ if t_calc > -1.753

H₁: 531. Reject H₁ if t_calc < -1.753

H₀: 531. Reject H₀ if t_calc < -1.753

H₁: < 531. Reject H₁ if t_calc > -1.753

b. State the conclusion.

Solution

The manufacturer of an airport baggage scanning machine claims it can handle an average of 531 bags per hour.

a.

At = 0.05 in a left-tailed test, would a sample of 16 randomly chosen hours with a mean of 511 and a standard deviation of 59 indicate that the manufacturer\'s claim is overstated? Choose the appropriate hypothesis.

H₀: < 531. Reject H₀ if t_calc > -1.753

H₁: 531. Reject H₁ if t_calc < -1.753

H₀: 531. Reject H₀ if t_calc < -1.753

H₁: < 531. Reject H₁ if t_calc > -1.753

b. State the conclusion.

t_calc = -1.356. There is significant evidence to reject the manufacturer’s claim.

t_calc = -1.356. There is not enough evidence to reject the manufacturer’s claim.

(Calculated t is greater than table value, do not reject for left tailed test)

t Test for Hypothesis of the Mean

Data

Null Hypothesis                m=

531

Level of Significance

0.05

Sample Size

16

Sample Mean

511

Sample Standard Deviation

59

Intermediate Calculations

Standard Error of the Mean

14.7500

Degrees of Freedom

15

t Test Statistic

-1.3559

Lower-Tail Test

Lower Critical Value

-1.7531

p-Value

0.0976

Do not reject the null hypothesis