1. Suppose the mean salary for an Engineer is believed to be $60,000.00. A sample of 36 Engineers revealed a mean salary of $62000. Assuming the standard deviation is $2,000, can it be concluded that the average salary has increased using a 0.1 level of significance? (PLEASE Show your work)

a)Define the Hypothesis

b)Calculate the test statistic

c)Set Rejection Region

d)Conclusion

  1. (Test of Proportions)It is assumed that the percentages of male and female drinkers are the same. A survey showed the proportion of male that are drinkers is 25% and female 24%. The number of respondent from each group was 1000. At 0.05 significance level, can we conclude that proportion of males that are drinkers is more than females? (PLEASE Show your work)

a)State the hypothesis

H0; Male Female

H1; Male > Female

b)Calculate the critical value (what is Z using the α=0.05 significant level??)

c)Compute Z from the given data

d)Make decision, do you accept or reject H0

  1. Suppose LAPD would like to determine if the typical speed on 405 Freeway is around 60 miles per hour. A sample of 50 cars was randomly selected and the average speed was 62 miles per hour. Assume that the standard deviation is known to be 5. Using a 0.05 level of significance, would we conclude the typical speed is more than 60 miles per hour?? (PLEASE Show your work).

a)Define the Hypothesis

H0 = 60 mph

H1 > 60 mph

b)Calculate the test statistic

c)Set Rejection Region

d)Conclusion

  1. Two samples drawn from two populations are independentif

a) When for each data value collected from one sample there is a corresponding data value

b) Samples are paired

c)The selection of one sample from one population does not affect the selection of the second sample from the selection population

d) All of the above

e) Only a and c

  1. Analysis of Variance (ANOVA)

a) Can be used to test for the equality of three or more population means.

b) Can only be used for test for equality of one population mean only

c) Allows you to compare more than two means simultaneously

d) Only a and b

e) Onlya, and c

  1. Assumptions for ANOVA are that

a) Observations are independent

b) Populations being sampled are normal

c) Populations being sampled have equal variances

d) All of the above

e) Only a and b

  1. In ANOVA Terminology what is a “factor”

a) Variation in populations

b) Number of variables

c) Sample data that is being studied

d) Interaction between two dependent populations

  1. A two-sample test compares samples with each other rather than comparing with a benchmark, as in a one-sample test.

True

False

  1. In Analysis of Variance, we analyze the means.

True

False

  1. In ANOVA, we partition the variance to try

a) Show a big variance between groups

b) Show a small variance within groups

c) Neither a or b

d) Both a and b