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Vsevolod
1 month ago
5

An automotive manufacturer has developed a new type of tire that the research team believes to increase fuel efficiency. the man

ufacturer wants to test if there is an increase in the mean gas mileage of mid-sized sedans that use the new type of tire, compared to 32 miles per gallon, the historic mean gas mileage of mid-sized sedans not using the new tires. The automotive manufacturer should perform a _____________ hypothesis test to _____________.(1) One-sided,analyze a change in single population(2) Two sided,analyze a change in a single population(3) One-sided,compare two populations(4) Two-sided,compare two populations
Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
6 0

Answer:

3) One-sided, compare two populations

Step-by-step explanation:

A manufacturer intends to evaluate if there is an improvement in the average gas mileage among mid-sized sedans that use a new type of tire, in comparison to those that do not utilize this tire type.

Thus, we have two distinct populations:

Population 1: Mid-sized sedans equipped with the new tire.

Population 2: Mid-sized sedans without the new tire.

Consequently, a comparison is being made between these two populations.

Furthermore, the manufacturer aims to determine if there is an enhancement in average gas mileage. As such, the alternative hypothesis will be right-tailed, indicating it is a one-sided test.

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Laurence, the stadium manager, spends $22,000 on a broadcast TV ad, $30,000 on a cable TV ad, and $6,000 on a radio ad. What per
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38 % of the total budget goes to advertising on broadcast TV

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Based on the details,

Expenditure for broadcast TV advertising = $ 22, 000

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proportion of broadcast TV advertising = \frac{\text{ amount spend on broadcast tv}}{\text{ total amount}} \times 100

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1 month ago
Sarah can bicycle a loop around the north part of Lake Washington in 2 hours and 30 minutes. If she could increase her average s
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Response:

The loop's length is roughly 49.58 km.

Step-by-step details:

Given:

Duration to cycle the loop = 2 hours and 30 minutes

It is known that;

60 minutes = 1 hour

30 minutes = 0.5 hour

therefore, 2 hours and 30 minutes = 2+0.5 = 2.5\ hrs

∴ Time to cycle the loop = 2.5 hours

Let 's' denote the cycling speed.

Denote the total loop distance as 'd'

From our understanding;

Distance equals speed times time.

Representing this as an equation we have;

d =2.5s \ \ \ \ equation \ 1

Given:

If her speed increased by 1 km/hr, the time taken around the loop would decrease by 7 minutes.

As a result, we can say;

Speed =s+1

The time then will be shortened by 7 minutes.

7 minutes = 0.12 hours

Consequently, time = 2.5 - 0.12 = 2.38

Again, Distance is calculated as speed times time.

This can be expressed with equations;

d =2.38(s+1) \ \ \ \ equation \ 2

The distances are equivalent in both scenarios, thus we will determine speed by equating the equations.

2.5s = 2.38(s+1)\\\\2.5s=2.38s+2.38\\\\2.5s-2.38s =2.38\\\\0.12s= 2.38\\\\s =\frac{2.38}{0.12} \approx 19.83\ km/hr

So, Speed = 19.83 km/hr

Loop length (d) = 19.83\times 2.5 = 49.58 \ km

Therefore, the loop length is approximately 49.58 km.

7 0
1 month ago
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