# HWK

Please can anyone help me with my homework?

Thanks!

Koku

1) The null and alternative hypotheses are giving. Determine whether the hypothesis is left tailed; right tailed; or two tailed.

What parameter is being tested?

H0: p= 0.76

H1:p> 0.76

– Left tailed

-Right tailed

-Two tailed

What parameter is being tested?

a-σ
b-µ
c-p
2) Test the hypothesis using the classical approach and the P-value approach.
B- H0: µ= \$243,771; H1: µ ≠ \$243,771
C- H0: µ= \$243,771; H1: µ< \$243,771 (b)Which of the following is a type I error? a-The broker rejects hypothesis that the mean price is \$243,771, when it is the true mean cost. b- The broker rejects hypothesis that the mean price is \$243,771, when the true mean price is greater than \$243,771. c- The broker fails to reject hypothesis that the mean price is \$243,771, when the true mean price is greater than \$243,771. (c)Which of the following is the type II error? a- The broker rejects hypothesis that the mean price is \$243,771, when it is the true mean cost. b- The broker fails to reject hypothesis that the mean price is \$243,771, when the true mean price is greater than \$243,771. c- The broker fails to reject hypothesis that the mean price is \$243,771, when it is the true mean cost. (13) The mean consumption of the fruit three years ago was 97.7 pounds. A dietician believes that the fruit consumption has risen since then. (a)Determine the null and alternative hypotheses. Which of the following is correct? A-H0: µ= 97.7; H1: µ ≠97.7 B- H0: µ= 97.7; H1: µ < 97.7 C- H0: µ= 97.7; H1: µ> 97.7
(b)Supposed the sample data indicate the null hypothesis should be rejected. State the conclusion of the researcher. Which of the following is the conclusion that could be reached?
a-There is not sufficient evidence to conclude that the mean consumption of the fruit has risen.
b- There is not sufficient evidence to conclude that the mean consumption of the fruit has stayed the same.
c-There is sufficient evidence to conclude that the mean consumption of the fruit has stayed the same.
d-There is sufficient evidence to conclude that the mean consumption of the fruit has risen.
(c)Supposed, in fact, the mean consumption of the fruits is 97.7 pounds. Did the researcher commit a type I or type II error?
a-The researcher committed a type II error because he accepted the alternative hypothesis when the mean hypothesis was true.
b- The researcher committed a type II error because he rejected the null hypothesis when it was true.
c- The researcher committed a type I error because he accepted the alternative hypothesis when the mean hypothesis was true.
d- The researcher committed a type I error because he rejected the null hypothesis when it was true.
If we tested this hypothesis at the a= 0.02 level of significance, what is the probability of committing this error? (……….)
(14) A simple random sample of size n is drawn. The sample mean, x, is found to be 18.2, and the sample standard deviation, s, is found to be 4.5.
(a)Construct a 95% confidence interval about µ if the sample size, n, is 34.
The confidence interval is (……), (…….). (Use ascending order. Round to two decimal places as needed)
(b) Construct a 95% confidence interval about µ if the sample size, n, is 51.
The confidence interval is (……), (…….). (Use ascending order. Round to two decimal places as needed)
How does increase the sample size affect the margin of error, E?
a-The margin of error does not change.
b-The margin of error increases.
c-The margin of error decreases.
(c)Construct a 99% confidence interval about µ if the sample size, n, is 34.
The confidence interval is (……), (…….). (Use ascending order. Round to two decimal places as needed)
Compare the result to those obtain in part (a). How does increasing the level of confidence affect the size of margin of error, E?
a-The margin error increases.
b-The margin error does not change
c-The margin error decreases.
(d)If the sample size is 17, what conditions must be satisfied the confidence interval?
a-The sample data must come from a population that is normally distributed with outlier.
b- The sample must come from a population that is normally distributed and the sample size must be large.
c- The sample size must be large and the sample should not have any outlier.
15) An agriculture researcher is interested in estimating the mean length of the growing season in a region. Treating the last 10 years as a simple random sample, he obtains the following data, which represent the number of days of the growing season.
151 159 145 147 163 193 187 175 164 155
(a) Because the sample size is small, we must verify that the data come from a population that is normally distributed and that the sample size does not contain any outliers. The normal probability plot and boxplot are shown bellow.
Are the conditions for constructing a confidence interval about the mean satisfied?
100
Percentage
80 250 130 230
Days Days
a- No the population is not normal
b- Yes, both condition are met
c- No, neither condition is met
d- No there are outliers
(b) Construct a 95% confidence interval for the mean length of the growing season in the region.
(……),(……). (Use ascending order. Round to two decimal places as needed.)
(c) What could be done to increase the accuracy of interval, assuming the researcher does not have access to additional data?
a-The researcher could increase the sample mean.
b-The researcher could increase the level of confidence.
c- The researcher could decrease the level of confidence.
d- The researcher could decrease the sample standard deviation.

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