Question

4) The time (in number of days) until maturity of a certain
variety of hot pepper is Normally distributed, with mean μ and
standard deviation σ = 2.4. This variety is advertised as taking 70
days to mature. I wish to test the hypotheses H0: μ = 70, Ha: μ
> 70, so I select a simple random sample of four plants of this
variety and measure the time until maturity. The four times, in
days, are

76 73 69 70

Based on the data

A) I would reject H0 at level 0.10 but not at level 0.05. B) I
would reject H0 at level 0.05 but not at level 0.01. C) I would
reject H0 at level 0.01.

D) None of the above

Answer #1

P value = P(Z>1.667) = 0.0478

for = 0.05

p=0.0478<0.05, it is concluded that the null hypothesis(H0) is rejected.

for = 0.01

p=0.0478>0.01, it is concluded that the null hypothesis(H0) is not rejected.

**B) I would reject H0 at level 0.05 but not at level
0.01**

The time (in number of days) until maturity of a certain
variety of hot pepper is Normally distributed, with mean μ and
standard deviation σ = 2.4. This variety is advertised as taking 70
days to mature. I wish to test the hypotheses H0: μ = 70, H1: μ ≠
70, so I select a simple random sample of four plants of this
variety and measure the time until maturity. The four times, in
days, are 70 72 79 67...

The time (in number of days) until maturity of a certain variety
of tomato plant is normally distributed with mean = 30 days to
mature and standard deviation = 2.4. I select a simple random
sample of four plants of this variety and measure the time until
maturity. The four times, in days, are: 39, 36, 32, 33.
Conduct the hypotheses test and state the conclusion at
0.1significance level of the test if the maturity time is more...

The time (in number of days) until maturity of a certain variety
of tomato plant is normally distributed with mean = 30 days to
mature and standard deviation = 2.4. I select a simple random
sample of four plants of this variety and measure the time until
maturity. The four times, in days, are: 39, 36, 32, 33.
Conduct the hypotheses test and state the conclusion at
0.1significance level of the test if the maturity time is more than
claimed....

Question 1
The p-value of a test H0: μ= 20 against the
alternative Ha: μ >20, using a sample of
size 25 is found to be 0.3215.
What conclusion can be made about the test at 5% level of
significance?
Group of answer choices
Accept the null hypothesis and the test is insignificant.
Reject the null hypothesis and the test is insignificant.
Reject the null hypothesis and the test is significant
Question 2
As reported on the package of seeds,...

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(a) How many standard deviations (of X) below the null
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(a) How many standard deviations (of X) below the null
value is x = 72.3? (Round your answer to two decimal
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____________________standard deviations
(b) If x = 72.3, what is the conclusion using α =
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Consider a paint-drying situation in which drying time for a
test specimen is normally distributed with σ = 8. The
hypotheses H0: μ = 73 and
Ha: μ < 73 are to be tested using a
random sample of n = 25 observations.
(a) How many standard deviations (of X) below the null
value is x = 72.3? (Round your answer to two decimal
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standard deviations
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Consider a paint-drying situation in which drying time for a
test specimen is normally distributed with σ = 9. The
hypotheses H0: μ = 73 and
Ha: μ < 73 are to be tested using a
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(a) How many standard deviations (of X) below the null
value is x = 72.3?
(b) If x = 72.3, what is the conclusion using
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Consider a paint-drying situation in which drying time for a
test specimen is normally distributed with σ = 9. The
hypotheses H0: μ = 74 and
Ha: μ < 74 are to be tested using a
random sample of n = 25 observations.
(a) How many standard deviations (of X) below the null
value is x = 72.3? (Round your answer to two decimal
places.)
standard deviations
(b) If x = 72.3, what is the conclusion using α =
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Consider a paint-drying situation in which drying time for a
test specimen is normally distributed with σ = 9. The
hypotheses H0: μ = 75 and
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(a) How many standard deviations (of X) below the null
value is x = 72.3? (Round your answer to two decimal
places.)
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(b) If x = 72.3, what is the conclusion using α =
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