Help to understand it.

1. The number of entrees purchased in a single order at a Noodles & Company restaurant has had a historical average of 1.5 entrees per order. On a particular Saturday afternoon, a random sample of 42 Noodles orders had a mean number of entrees equal to 1.85 with a standard deviation equal to 0.73. At the 1 percent level of significance, does this sample show that the average number of entrees per order was greater than expected?

(b-1)Calculate thetstatistic.(Round your answer to 2 decimal places.)

tcalc

(b-2)Find thep-value.(Round your answer to 4 decimal places.)

p-value

4-A cognitive retraining clinic assists outpatient victims of head injury, anoxia, or other conditions that result in cognitive impairment. Each incoming patient is evaluated to establish an appropriate treatment program and estimated length of stay. To see if the evaluation teams are consistent, 12 randomly chosen patients are separately evaluated by two expert teams (AandB) as shown.

Estimated Length of Stay in Weeks
Patient
Team	1	2	3	4	5	6	7	8	9	10	11	12
A	24	24	52	30	40	30	18	30	18	40	24	12
B	24	20	52	36	36	24	36	16	52	24	24	16

(b)Specify the decision rule atthe .10 level of significance.(Round your answers to 3 decimal places. Negative values should be indicated by a minus sign.)

Reject the null hypothesis if the p-value is

less than

.10 or if tcalc <

or tcalc >

.

(c)Find the test statistict_calc.(Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.)

tcalc

(d)Find thep-value.(Round your answer to 4 decimal places.A negative value should be indicated by a minus sign.)

p-value

1. In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below.Research question:Are the mean crash damages the same for these three vehicles?

Crash Damage ($)
Goliath	Varmint	Weasel
1,600	1,290	1,090
760	1,400	2,100
880	1,390	1,830
1,950	1,850	1,250
1,220	950	1,920

Fill in the missing data.(Round yourp-value to 4 decimal places, mean values to 1 decimal place, and other answers to 2 decimal places.)

Group	Mean	n	Standard Deviation	Variance
Goliath
Varmint
Weasel
Total

One-Factor ANOVA
Source	SS	df	MS	F	p-value
Treatment
Error
Total

Calculate the value ofH_calc.(Round your answer to 2 decimal places.)

Hcalc

1. Nine homes are chosen at random from real estate listings in two suburban neighborhoods, and the square footage of each home is noted in the following table.

Size of Homes in Two Subdivisions
Subdivision	Square Footage
Greenwood	2,729	2,603	2,572	2,484	2,633	2,455	2,812	2,790	2,443
Pinewood	2,717	2,304	2,796	2,774	2,535	2,628	2,325	2,580	3,395

(c)Find the test statistict_calc.(A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

tcalc

1. The recent default rate on all student loans is 6.4 percent. In a recent random sample of 322 loans at private universities, there were 18 defaults. Does this sample show sufficient evidence that the private universityloan default rate is below the rate for all universities, using a left-tailed test at= .010?

(a-2)Calculate thez-score for the sample data using a left-tailed test at= .01.(A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

Zcalc

(b)Calculate thep-value.(Round your answer to 4 decimal places.)

p-value

7- Faced with rising fax costs, a firm issued a guideline that transmissions of 8 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 8 or below. The firm examined 24 randomly chosen fax transmissions during the next year, yielding a sample mean of 9.46 with a standard deviation of 5.06 pages. (a-1)Find the test statistic.(Round your answer to 4 decimal places.)

The test statistic

(b)Use Excel to find the right-tailp-value.(Round your answer to 4 decimal places.)

p-value

14-In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included a new "Smart Spot" symbol on its products that meet certain nutrition criteria, to help consumers who seek more healthy eating options.

Suppose a follow-up survey shows that 49of 400 persons now rate Pepsi as being "concerned with my health." Calculate thezstatistic.(Round your answer to 3 decimal places.)

zcalc