Given that population mean of IQ after 5 years for a child is 100.

A sample of 20 mothers in the first trimester of their pregnancy are asked to play Mozart in the house at least 30 minutes each day until they

give birth. This sample had a mean of 104.1 with std dev =15

Since population std dev is not known and sample size is small, we can use t test

[tex]H_0: \bar x =100\\H_a: \bar x 100[/tex]

(Right tailed test at 5% significance level)

Std error of sample mean = [tex]\frac{15}{\sqrt{20} } =3.35\\[/tex]

Test statistic t = mean difference / std error

= 1.222

p value = 0.1187=0.119

Do not reject H0 becasue the P-value is not less than the a-0.05 level of significance

There (1)_____is not________sufficient evidence at the a=0.05 level of significance to conclude that mothers who listen to Mozart have children with higher IQs.

Only 10% of energy is stored (the rest is lost or used up) when an organism from one level of the Pyramid of Energy is eaten by an organism from one level above.10% of the energy is turned into biomass that can be consumed by the next level.

Is not

Step-by-step explanation:

Given that population mean of IQ after 5 years for a child is 100.

A sample of 20 mothers in the first trimester of their pregnancy are asked to play Mozart in the house at least 30 minutes each day until they

give birth. This sample had a mean of 104.1 with std dev =15

Since population std dev is not known and sample size is small, we can use t test

[tex]H_0: \bar x =100\\H_a: \bar x 100[/tex]

(Right tailed test at 5% significance level)

Std error of sample mean = [tex]\frac{15}{\sqrt{20} } =3.35\\[/tex]

Test statistic t = mean difference / std error

= 1.222

p value = 0.1187=0.119

Do not reject H0 becasue the P-value is not less than the a-0.05 level of significance

There (1)_____is not________sufficient evidence at the a=0.05 level of significance to conclude that mothers who listen to Mozart have children with higher IQs.

last one maybe i dont know

Only 10% of energy is stored (the rest is lost or used up) when an organism from one level of the Pyramid of Energy is eaten by an organism from one level above.10% of the energy is turned into biomass that can be consumed by the next level.

B) Reject the null hypothesis because the p-value is less than the level of significance

Step-by-step explanation:

Given that in a one-tail hypothesis test where you reject Upper H0 only in the lower tail, it was found that the p-value is 0.0256 if ZSTAT = -1.95.

So p value = 0.0256

But alpha here is 0.10

Since p <0.10

Whenever p is less than alpha, we reject null hypothesis

Hence correct answer is

B) Reject the null hypothesis because the p-value is less than the level of significance