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The weights in ounces of a sample of running shoes for men and women are shown. Test the claim that the means are different. Use the P-value method with α = 0.05.

Men

9.6 12.6 11.2 15.0 11.6 13.3 12.5 12.6 12.7 13.6
Women

10.2 9.2 9.5 9.9 8.8 10.4 10.5 10.6 10.4 9.9
8.9 9.8 9.9 10.1 12.0


Group of answer choices

Since the P-value is greater than α = 0.05, do not reject the null hypothesis. There is not enough evidence to support the claim that there is a difference in the weights of running shoes.

Since the P-value is less than α = 0.05, reject the null hypothesis. There is enough evidence to support the claim that there is a difference in the weights of running shoes.

Since the P-value is less than α = 0.05, do not reject the null hypothesis. There is not enough evidence to support the claim that there is a difference in the weights of running shoes.

Since the P-value is greater than α = 0.05, reject the null hypothesis. There is enough evidence to support the claim that there is a difference in the weights of running shoes.

Respuesta :

okpalawalter8

The conclusion will be; Since the P-value is less than α = 0.05, reject the null hypothesis. There is enough evidence to support the claim that there is a difference in the weights of running shoes. Option B.

What is the conclusion?

Parameters

Group 1

n1=10

x=18.47

[tex]s^2_1[/tex]=2.12

Group 1

n2=15

x2=10.01

[tex]s^2_2[/tex]=0.62

Generally, the equation for the hypothesis is mathematically given as

[tex]H_0=\mu_1 =\mu=2 \\\\H_a= \mu_1 \neq \mu=2[/tex]

Therefore

[tex]t=\frac{12.47-10.01}{\sqrt{\frac{2.12}{10}+\frac{0.61}{15}}}[/tex]

t=4.8966

In conclusion, The pvalue from table is

p-value (4.8966, [tex]\alpha[/tex] =0.06)

[tex]p-value < \alpha=0.05[/tex]

since [tex]p-value < \alpha=0.05[/tex] we reject the null hypothesis and state that there is no difference b/w the two means.

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