Test the claim that the mean GPA of night students is smaller than 3 at the 0.05 significance level. The null and alternative hypothesis would be:
H
0
:
μ
=
3

H
1
:
μ
≠
3

H
0
:
μ
≥
3

H
1
:
μ
<
3

H
0
:
p
≥
0.75

H
1
:
p
<
0.75

H
0
:
p
≤
0.75

H
1
:
p
>
0.75

H
0
:
μ
≤
3

H
1
:
μ
>
3

H
0
:
p
=
0.75

H
1
:
p
≠
0.75

The test is:
two-tailed
right-tailed
left-tailed

Based on a sample of 65 people, the sample mean GPA was 2.97 with a standard deviation of 0.06

The test statistic is:
(to 2 decimals)

The p-value is:
(to 2 decimals)

Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis

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Julia bought 7 hats a week later half of all her hats were destroyed in a fire. there are now only 12 hats left with how many did she start

On the way home from visiting his family, vincent’s plane cruised at an altitude of 3.2 × 10^4 feet. he had heard that a man named felix baumgartner skydived from an altitude of 1.28 × 10^5 feet. vincent wants to know how much higher felix went on his skydiving trip. question 1 you have already seen how adding numbers works in either scientific notation or standard notation. but can you subtract numbers in scientific notation and get the same results as subtracting in standard notation? to find out, first solve vincent’s problem in standard notation. part a write the cruising altitude of vincent’s plane in standard notation.