A study has been conducted to determine whether the mean spending for recreational activities during the month of August differs for residents of three cities.
Random samples of 30 people were selected from each city and their spending on recreation was recorded during August. The following output was generated using Excel:ANOVA: Single FactorSUMMARYGroups Count Sum Average VarianceCity 1 30 7897.179 236.2393 3334.11City 2 30 10322.1 344.0701 2201.818City 3 30 6045.102 201.5034 2215.919ANOVASource of Variation SS df MS F P-value F critBetween Groups 306701.8 2 153350.9 59.3475 5.54E-17 3.101292Within Groups 224803.5 87 2583.949 Total 531505.4 89 Based on the information provided, should we conclude that the three populations (cities) have equal mean spending during August? Test at the 0.05 level of significance.
Q. 2If a binomial distribution applies with a sample size of n = 20, find the probability of 5 successes if the probability of a success is 0.40.
A) 0.1246
B) 0.1286
C) 0.0746
D) 0.0866
Q. 3What are the assumptions for a one-way analysis of variance design?
What will be an ideal response?
Q. 4For a binomial distribution with a sample size equal to 10 and a probability of a success equal to 0.30, what is the probability that the sample will contain exactly three successes? Use the binomial formula to determine the probability.
A) 0.3277
B) 0.3288
C) 0.2668
D) 0.2577
Q. 5What is meant by the term balanced design in an analysis of variance application?
What will be an ideal response?
Q. 6A major issue facing many states is whether to legalize casino gambling. Suppose the governor of one state believes that more than 55 of the state's registered voters would favor some form of legal casino gambling.
However, before backing a proposal to allow such gambling, the governor has instructed his aides to conduct a statistical test on the issue. To do this, the aides have hired a consulting firm to survey a simple random sample of 300 voters in the state. Of these 300 voters, 175 actually favored legalized gambling.State the appropriate null and alternative hypotheses.A) H0 : p = 0.58 Ha : p 0.58
B) H0 : p 0.55 Ha : p > 0.55
C) H0 : p = 0.55 Ha : p 0.55
D) H0 : p 0.58 Ha : p > 0.58
Q. 7Examine the following two-factor analysis of variance table:Source SS df MS F-RatioFactor A 162.79 4 Factor B 28.12 AB Interaction 262.31 12 Error ________ ___ Total 1,298.
74 84 Does the ANOVA table indicate that the levels of factor B have equal means? Use a significance level of 0.05.A) Fail to reject H0. Conclude that there is not sufficient evidence to indicate that at least two levels of Factor B have different mean responses.
B) Reject H0. Conclude that there is sufficient evidence to indicate that at least two levels of Factor B have different mean responses.
C) Fail to reject H0. Conclude that there is sufficient evidence to indicate that at least two levels of Factor B have different mean responses.
D) Reject H0. Conclude that there is not sufficient evidence to indicate that at least two levels of Factor B have different mean responses.
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