statistics of One sample t

In the US, students report falling in love an average of µ=4.8 times during their college years. A researcher believes that this may be due to the US culture and suspects that international students may fall in love less often than their US peers. She surveyed24 international students (who were attending a US college, but spent the rest of their life in their home country) and they reported falling in love x =3.6 times with a Sum of Squares (ss) =72

A. Please provide the Sample mean, standard deviation, and standard error showing all work.

B. For this question, what is the “Population Mean”? Calculate a t and sketch the distribution is there a significant difference? Show work

C. Based on this research what can we conclude about the hypothesis that international students may fall in love less often than their US peers (State results in APA style) ?

2. Cpmpas and collegues (1994) were surprised to find that as a sample of 10 young children under stress actually report fewer symptoms of anxiety and depression than would be expected. However, they also noticed that the children scored higher on a Lie scale 9 that measures socially desirable responding ). Compas and collegues (1994) suspect the children may not be honestly reporting depression and anxiety symptoms. The population mean for the Lie scale is known to be µ= 3.87. Their data are:

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A. Please calculate a sample mean, standard deviation and standard error. Show all work

B. For this question, what is the “Population mean” ? Calculate a t and sketch the distribution, is there a significant difference?

C. Based on this research what can we conclude about suspect the children’s lie scores? What does this suggest regarding Comps and collegues (1994) suspicions that the children may not be honestly reporting depression and anxiety (State your results in apa style)?

2. A major corporation in Chicago noticed that last year employee’s averaged µ = 5.8 sick days during the intern season. To try and reduce absences, the company offered free flu shots this year. For a sample of n= 100 people who took the shots the average number of absences was x =3.6 with a Sum of Squares (SS) =396.

a. Calculate the sample standard deviation and standard error.

b. Using a one sample t test calculate the t statistic and degrees of freedom associated with these data.

c. What do these results tell you about the effect of the flu shot on absence? State your results in APA style.

3. An I/O Psychologist conducts a study that finds faster loan processing time produces higher customer satisfication . The study revealed that customers are dissatisfied when processing times take longer than µ = 6 hours. A CHASE bank financial analyst randomly selects 25 loan applications from the past 2 weeks and calculations the time between loan initiation and when the customer receives the institution’s decision. The analyst conducts a one sample t test to determine if CHASE customers average weight time is significantly different from the ideal 6 hours or less time. The results are as follows.

	N	Mean	Std. Deviation	Std. Error Mean
Average Loan Processing Time	25	8.2000	5.73730	1.14746

One-Sample Test

	Test Value =6
	t	df	Sig. (2-tailed)	Mean Diffrence
Average Loan processing time	1.917	24	.067	2,20000

What do these results tell you about the average loan processing time at CHASE bank?

State your results in APA style.