The following table shows the results of two random samples that measured the av

Question

The following table shows the results of two random samples that measured the average number of minutes per charge for AALithium-ion (Li-ion) rechargeable batteries versus Nickel-Metal Hydride (NiMH) rechargeable batteries.

Li-ion

NiMH

Sample mean

96.1

82.8

Sample standard deviation

6.6

11.7

Sample size

15

10

Perform a hypothesis test using =0.05 to determine if the average number of minutes per charge differs between these two battery types H0: 1 = 2, H1: 1 2. Assume the population variances for the number of minutes per charge are equal. (Pooled: Yes)

Choose the correct p-value.

Question 5 options:

Do not reject H0. There is not enough evidence to support the claim that there is a difference in the average number of minutes per charge for AA Lithium-ion rechargeable batteries versus Nickel-Metal Hydride rechargeable batteries.

Reject H0. There is enough evidence to support the claim that there is a difference in the average number of minutes per charge for AA Lithium-ion rechargeable batteries versus Nickel-Metal Hydride rechargeable batteries.

Reject H0. There is not enough evidence to support the claim that there is a difference in the average number of minutes per charge for AA Lithium-ion rechargeable batteries versus Nickel-Metal Hydride rechargeable batteries

.Do not reject H0. There is enough evidence to support the claim that there is a difference in the average number of minutes per charge for AA Lithium-ion rechargeable batteries versus Nickel-Metal Hydride rechargeable batteries.

Li-ion

NiMH

Sample mean

96.1

82.8

Sample standard deviation

6.6

11.7

Sample size

15

10

Explanation / Answer

H0: 1 = 2, H1: 1 2

Pooled standard deviation, s = sqrt[((n1-1)s12 + (n2-1)s22)/(n1+n2-2)] = 8.948767
degree of freedom = n1 + n2 - 2 = 23
t = (x1-x2)/(s*sqrt((1/n1)+(1/n2))) = 3.6405

p = 0.0014

At =0.05, Reject H0. There is enough evidence to support the claim that there is a difference in the average number of minutes per charge for AA Lithium-ion rechargeable batteries versus Nickel-Metal Hydride rechargeable batteries.(option B)

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