A sample of 25 PCC studentsspent an average of $75 with a standard deviation of $17.50. Another sample of 20 ELAC studentsshowed that they spent an average of $89 with a standard deviation of $14.40. Assume that the amounts by all PCCand all ELAC students are normally distributed with equal but unknown population standard deviations. Required:
Using 5% significance level and a formal hypothesis test can you conclude that the mean amount spent by all PCC students is less than the mean spent by all ELAC students?

Step-by-step explanation:

Given that:

For PCC

The sample size = 25

sample mean = 75

standard deviation = 17.50

For ELAC

The sample size = 20

Sample mean

Standard deviation = 14.40

Significance level = 0.05

The null hypothesis:

The alternative hypothesis;

Since the population standard deviation are synonymous pooled standard deviation; Then:

The test statistics can be computed as:

The p-value

= 0.0031

Decision Rule: To reject the null hypothesis if the p-value is less than the significance level

Conclusion: There is sufficient evidence to conclude that the mean amount spent by all PCC students is less than the mean amount spent by all ELAC students.

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation: