The number of entrees purchased in a single order at a Noodles & Company restaurant has had a historical average of 1.2 entrees per order. On a particular Saturday afternoon, a random sample of 38 Noodles orders had a mean number of entrees equal to 1.3 with a standard deviation equal to 0.74. At the 1 percent level of significance, does this sample show that the average number of entrees per order was greater than expected?

Hypotheses: H₀:? ?1.2 vs.H₁:? >1.2

T_calc: 0.83

1. Find the p-value?

A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance?

Saturday Sales Data ($) for Ski Hats
Saturday	East Side Shop	West Side Shop
1	579	523
2	458	756
3	624	643
4	515	586
5	464	566

1. Choose the appropriate hypotheses. Assume?_dis the difference in average sales between the east side and west side stores.
   1. H₀:?_d= 0 versusH₁:?_d? 0.
   2. H₀:?_d? 0 versusH₁:?_d= 0.
2. Find the test statistic t_calc.

GreenBeam Limited claims that its compact fluorescent bulbs average no more than 3.66 mg of mercury. A sample of 35 bulbs shows a mean of 3.74 mg of mercury. (a) State the hypotheses for a right-tailed test, using GreenBeam's claim as the null hypothesis about the mean.

1. H₀: ? ? 3.66 mg vs. H₁: ?
2. H₀: ? ? 3.66 mg vs. H₁: ? > 3.66 mg
3. H₀: ? = 3.66 mg vs. H₁: ? ? 3.66 mg

(d) Find the p-value. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.)

In a market research study, members of a consumer test panel are asked to rate the visual appeal (on a 1 to 10 scale) of the texture of dashboard plastic trim in a mockup of a new fuel cell car. The manufacturer is testing four finish textures. Panelists are assigned randomly to evaluate each texture. The test results are shown below. Each cell shows the average rating by panelists who evaluated each texture. Research question: Is mean rating affected by age group and/or by surface type?

Mean Ratings of Dashboard Surface Texture
Age Group	Shiny	Satin	Pebbled	Pattern
Youth (under 21)	6.8	6.4	5.6	4.5
Adult (21 to 39)	5.1	5.3	6.9	5.5
Middle-Age (40 to 61)	4.8	5.1	6.0	5.4
Senior (62 and over)	3.2	4.0	6.5	4.1

(a-2) Choose the correct row-effect hypotheses.

a. H₀:A₁=A₂=A₃= 0 ?? Age group means are the same

H₁: Not all theA_jare equal to zero ?? Age group means are the same

b. H₀:A₁?A₂?A₃? 0 ?? Age group means are the same

H₁: All theA_jare equal to zero ?? Age group means differ

(a-3) Choose the correct column-effect hypotheses.

a. H₀:B₁=B₂=B₃= 0 ?? Surface type means are the same

H₁: Not all theB_kare equal to zero ?? Surface type means differ

b. H₀:B₁?B₂?B₃? 0 ?? Surface type means are the same

H₁:Not all theB_kare equal to zero ?? Surface type means differ

(b) Fill in the missing data. (Round your SS valuesto 3 decimal places, F values to 2 decimal places, and other answers to 4 decimal places.)

Table of Means Mean Standard Deviation Shiny 4.9750 4 1.4751 Satin 5.2000 0.9832 Pebbled 6.2500 0.5686 Pattern 4.8750 4 0.6850 Youth (Under 21) 5.8250 1.0145 Adult (21 to 39) 5.7000 0.8165 Middle-Age (40 to 61) 5.3250 0.5123 Senior (62 and over) 4.4500 1.4248 Total 5.3250 16 ANOVA Table Source SS df MS F p-value Rows (Age Group) Columns (Surface) Error Totallb} Fill in the missing data. {Round your table of means values to 1 decimal place. SSand Fualues to 2 decimal places, MS values 1.0 3 decimal places, and p-values 1.0 4 decimal places.) Table of Means Means: Factor 2 {Medication} Factor 1 {Weight} Med 2 Med 4 AHOVA Tabb mm\" Fame\" _____ Factor 2 {Medication} _____ _____ (d) Perform Tukey multiple comparison tests. (Input the mean values within the input boxes of the first row and input boxes of the first column. Round your t-values and critical values to 2 decimal places and other answers to 1 decimal place.) Post hoc analysis for Factor 1: Tukey simultaneous comparison t-values (d.f. = 12) 1.1 or Less 1.1 to 1.3 1.3 to 1.5 1.1 or Less 1.1 to 1.3 1.3 to 1.5 Critical values for experimentwise error rate: 0.05 0.01 Post hoc analysis for Factor 2: Tukey simultaneous comparison t-values (d.f. = 12) Med 4 Med 1 Med 3 Med 2 Med 4 Med 1 Med 3 Med 2 Critical values for experimentwise error rate: 0.05 0.01Use Excel to find the critical value of z for each hypothesis test. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) (a) 5 percent level of significance, two-tailed test. Critical value of z (b) 2 percent level of significance, right-tailed test. Critical value of z (c) 10 percent level of significance, left-tailed test. Critical value of z