Question

need help with one question need help checking my answer for one question

Answer 1

a) Can you reject the null hypothesis that u= 34 at the 5% significance level? Why?
no, the interval (28,35) contains 34 so u = 34 is possible, so at the 5% sig level it will not be rejected
b) Can you reject the null hypothesis that u= 36 at the 5% significance level? Why?
yes, the interval (28,35) doesn't contain 36 so u = 36 is not possible, so at the 5% sig level it will be rejected

is this correct

Answer 2

is this the full question/problem?

Answer 3

oh sorry this is the first part
A 95% confidence interval for a population mean is (28, 35).

Answer 4

both parts look correct

Answer 5

okay, can you help me with this question I'm lost
The P-value for a two-sided test of the null hypothesis Ho: u = 10 is 0.06.

a) Does the 95% confidence interval include the value 10? Why?
b) Does the 90% confidence interval include the value 10? Why?

Answer 6

Confidence Level = 1 - alpha

alpha = 1 - (Confidence Level)

Answer 7

what do we do with alpha?

Answer 8

so if the confidence level is 95%, what is alpha?

Answer 9

.05?

Answer 10

yes

Answer 11

you can then determine whether or not to reject Ho

Answer 12

we reject it because its .05 and it isn't within the interval?

Answer 13

reject if (p-value) < alpha

Answer 14

the p value is the .06 right?

Answer 15

yes

Answer 16

okay so we don't reject it because in this case the p value (.06) is greater then the alpha (.05)

Answer 17

correct

Answer 18

okay so for b
since the confidence level is 90 we do 1-.9 to get alpha which would be .1 and we reject it because the p value (.06) is less then alpha (.1)

Answer 19

Yes I'm getting the same as well

Answer 20

okay great thank you! i also have one problem i would like for you to check would that be okay?

Answer 21

sure

Answer 22

give me on second

Answer 23

An understanding of wingspanroach biology may lead to an effective control strategy for these annoying insects. Researchers studying the absorption of sugar by insects feed wingspanroaches a diet containing measured amounts of a particular sugar. After 10 hours, the wingspanroaches are killed and the concentration of the sugar in various body parts is determined by a chemical analysis. The paper that reports the research states that a 95% confidence interval for the mean amount (in milligrams) of the sugar in the hindguts of the wingspanroaches is 4.2+/-2.3.

a) Does this paper give evidence that the mean amount of sugar in the hindguts under these conditions is not equal to 7 mg? State and base a test on the confidence interval.
b) Would the hypothesis that u = 5 mg be rejected at the 5% level in favor of a two-sided alternative?

Answer 24

this is what i got for a
a) yes
/= means not equal sig. = 5%
Ho = u =7mg Ha = u /= 7 mg
since m = 7 isn't in the 95% confidence level using a two tailed test would make us reject null @ .05 so we can say that the mean amount of sugar is nOT equal to 7 mg

Answer 25

very good, the max is 4.2+2.3 = 6.5, so 7 is above that max value

Answer 26

so thats good for a?

Answer 27

this is what i got for b
b) m = 5mg is in 95% confid. interval so a two tailed would make us not reject Ho @.05 and we can say that mean sugar is equal to 5 mg

Answer 28

agreed, 5 is somewhere in the middle of the CI

Answer 29

so are both my answers good?

Answer 30

they do

Answer 31

they do look good*

Answer 32

okay thank you, you're the best!

Answer 33

you're welcome