# Project #20516 - statistics

Directions:

Review the SPSS output file which reports the results of the independent t-test to compare the mean price per 6-pack for regular vs. reduced calorie brands of wheat beer. Answer the following questions based on your observations of the SPSS output file:

1. Is the F-value for Levene's Test for Equality of Variances significant (that is, is the p < .05)? What is the exact significance level? Note: if the Levene's Test for Equality of Variances is significant, then equal variances cannot be assumed.
2. Which t-value should you use now that you know whether or not equal variances can be assumed? What is that t-value?
3. What is the two-tailed significance level for that t-value? State the exact significance value. Report the results of the t-test as follows: t(df value) = ___, and p-value.
4. Is there a statistically significant difference between the price per 6-pack of regular beers versus reduced calorie beers?
T-TEST GROUPS=Reducedcals(0 1)

/MISSING=ANALYSIS

/VARIABLES=price

/CRITERIA=CI(.95).

T-Test

 Notes Output Created 07-JUN-2013 11:20:55 Comments Input Data C:\Users\donn\Documents\GCU Leadfac\Project with Judy for modifying PSY845 to introduce SPSS\drinks database -revised for course applications DH.sav Active Dataset DataSet1 File Label SPSS/PC+ Filter Weight Split File N of Rows in Working Data File 35 Missing Value Handling Definition of Missing User defined missing values are treated as missing. Cases Used Statistics for each analysis are based on the cases with no missing or out-of-range data for any variable in the analysis. Syntax T-TEST GROUPS=Reducedcals(0 1)  /MISSING=ANALYSIS  /VARIABLES=price  /CRITERIA=CI(.95). Resources Processor Time 00:00:00.02 Elapsed Time 00:00:00.01

 Group Statistics Regular or reduced calorie for brand N Mean Std. Deviation Price per 6-pack for brand Regular 28 3.1154 1.24040 Reduced Calories 7 2.6757 .21870

 Group Statistics Regular or reduced calorie for brand Std. Error Mean Price per 6-pack for brand Regular .23441 Reduced Calories .08266

 F Sig. Price per 6-pack for brand Equal variances assumed 6.987 .012 Equal variances not assumed

 Independent Samples Test t-test for Equality of Means df Sig. (2-tailed) Mean Difference t Price per 6-pack for brand Equal variances assumed 33 .362 .43964 .924 Equal variances not assumed 31.912 .086 .43964 1.769

 Independent Samples Test t-test for Equality of Means Std. Error Difference 95% Confidence Interval of the Difference Lower Upper Price per 6-pack for brand Equal variances assumed .47576 -.52829 1.40758 Equal variances not assumed .24856 -.06671 .94600

Information has been gathered on 35 brands of wheat beer. Qualitative (categorical) information has been given codes. Information that is in numerical form (e.g., \$ amount) does not need to be coded.

Here are all the types of information gathered on these beers:

1.
Product name (abbreviation of product’s brand name)
2.
Product ID code
a.
Codes: Each brand is given a numerical ID, with 1 being the first one to 35 for the last one
3.
Rating assigned to the product by a taste expert  for each brand
a.
Codes:1 = Very good

2 = Good

3 = Fair

4.
Recommended by leading beer connoisseur magazine?
a.
Codes:  0 = no

1 = yes

5.
Country of origin for each brand:
a.
Codes:1 = USA

3 = France

4 = Holland

5 = Mexico

6 = Germany

7 = Japan

6.
Availability in the USA for each brand
a.
Codes:1 = National

2 = Regional

7.
Price per 6-pack for each brand (values are in US Dollars)
8.
Cost per 12 fluid ounces for each brand (values are in US Dollars)
9.
Calories per 12 fluid ounces
10.
Sodium per 12 fluid ounces for each brand (values are in milligrams, mg)
11.
Alcohol by volume for each brand (values are percents, %)
12.
Price class for each brand
a.
Codes:0 = Not classified

1 = Super premium

3 = Popular

13.
Regular or reduced calorie for each brand
a.
Codes:0 = Regular

1 = Reduced calorie

14.
Number of US states in which brand was sold in 2008.
15.
Number of US states in which brand was sold in 2012.

 Subject Mathematics Due By (Pacific Time) 01/07/2014 08:00 pm
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