1. The producer of a fuel added substance asserts that the utilization of this added substance expands gas

mileage. An arbitrary example of 6 vehicles was chosen, and these vehicles were driven for one

week without the gas added substance and afterward for multi week with the added substance. The

following table gives the mileage (in miles per gallon) for these vehicles with and without the

added substance:

Vehicle 12 3 4 5 6

Mileage Without Additive 24.6 28.3 18.9 23.7 15.4 29.5

Mileage With Additive 26.3 31.7 18.2 25.3 18.3 30.9

Asuming mileages are typically disseminated, would you be able to presume that the utilization of the fuel

added substance expands mileage at the 2.5% importance level?

2. An analyst wished to appraise the distinction between the extent of clients of two

shampoos who are happy with the prodcut. In an example of 400 clients of Shampoo A

taken by this scientist, 78 said they are satisifed. In another example of 500 clients of

Cleanser B taken by a similar specialist, 92 said they were fulfilled.

a) Construct a 90% certainty stretch for the genuine contrast between the two populace

extents.

b) Based on your answer in (a), what might be your reaction at "=0.1 to the case that

there is no distinction in consumer loyalty between the two shampoos?

3. An overview as of late revealed that the mean public yearly consumption for inpatient and

outpatient administrations of all people more than 64 years old was $5,423 with a norm

deviation of $979. An arbitrary example of 352 people over age 64 living in Sudbury had an

normal cost of $5,516.

a) Can we reason that the mean inpatient and outpatient cost of all Sudbury

occupants over age 64 is higher than the public normal of $5,423? Utilize the .01

level of importance.

b) Calculate the P-an incentive for this test. Would your answer have changed in the event that you had utilized a

.05 degree of importance?