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2. A study of the time required

I really need help with...

I really need help with this!!!!

2. A study of the time required between landing clearance and physical touchdown for 35 randomly selected airplanes at City Airport showed the mean to be 280 seconds with a standard deviation of 19 seconds.

a) To construct an 90% confidence interval for the mean time required by all airplanes landing at City Airport, the formula that should be utilized is ____________________ (a list is provided below to make it easier to state your answer for this blank - please fill in the blank with the page number of the formula from the list below). If your answer to the preceding blank was i or ii then z/2=_____, or if your answer was iii then t/2= ______, however if your answer was iv or v, then chi-square values are ______ and ______.

b) The calculated value of the lower confidence interval limit is ______ and the upper confidence interval limit is ________.

c) The Air Traffic Controller Association stated that the confidence interval constructed above (your answer to part b) was too wide and the confidence level too low. This association wants to be 95% confident and accurate within 3 seconds of the true mean time. The minimum sample size needed, in order to meet the stated specifications, is ______.

3. It has been claimed that home sellers in State X generally receive less than the asking price when selling their home. The following data represents a random selection of six single-family homes in State X that recently sold for the prices (in thousands of dollars) listed below. To test the claim, using a 5% level of significance, answer the parts below. Also assume that the population distributions of prices are normally distributed.

Home Asking Price Selling Price (Received amount)

#1 103 99

#2 227 224

#3 314 305

#4 140 140

#5 85 86

#6 295 275

a) The statement of hypothesis is Ho:__________ versus H1:________.

b) The distribution that can be justifiably utilized for this test is the _______________ (chi-square, F, t, z-standard normal) AND the critical value(s) from that distribution is/are ____________.

c) If the p-value is computed to be 0.063, then the appropriate decision to this test of hypothesis is to ___________ (reject Ho, not reject Ho), although there would exist the possibility of a _________________ (margin of error, standard error, Type I error, Type II error).

4. A psychologist suspects that windowless schools lead to anxiety in the psychological development of children. A random sample of children who are in windowless classrooms is selected and given an anxiety test. Higher scores indicate more anxiety. The same procedure is followed for a random selection of children in classrooms with windows. The results are shown below. By answering the following parts to this problem, test, using = 0.01, that the anxiety scores for windowless school children is significantly different than that for school children in schools with windows.

Windowless Schools Schools with Windows

Mean 94 90

Standard Deviation 8 10

Sample Size 36 30

a) The statement of hypothesis is Ho:__________ versus H1:________.

b) The distribution that can be justifiably utilized for this test is the _______________ (chi-square, F, t, z-standard normal) AND the critical value(s) from that distribution is/are ____________.

c) The computed test statistic value is ___________, and the formula used to compute this test statistic value is _______________. (A list is provided below to make it easier to state your answer. Please fill in the blank with the page number of the formula from the list below.)

5. According to a loan association, 65% of college freshman have no declared major. Let's say it is believed that the percentage of UMUC freshman with an undeclared major is lower than 65%. In a random sample of 25 UMUC Freshman, 14 said that they have not yet declared a major. Test the claim that the percentage of UMUC freshman with an undeclared major is lower than 65% using alpha = 0.05 by answering the following.

a) State the null and alternative hypotheses. Ho:__________ and H1:________.

b) The distribution that can be justifiably utilized for this test is the _______________ (chi-square, F, t, z-standard normal) AND the critical value(s) from

2. A study of the time required between landing clearance and physical touchdown for 35 randomly selected airplanes at City Airport showed the mean to be 280 seconds with a standard deviation of 19 seconds.

a) To construct an 90% confidence interval for the mean time required by all airplanes landing at City Airport, the formula that should be utilized is ____________________ (a list is provided below to make it easier to state your answer for this blank - please fill in the blank with the page number of the formula from the list below). If your answer to the preceding blank was i or ii then z/2=_____, or if your answer was iii then t/2= ______, however if your answer was iv or v, then chi-square values are ______ and ______.

b) The calculated value of the lower confidence interval limit is ______ and the upper confidence interval limit is ________.

c) The Air Traffic Controller Association stated that the confidence interval constructed above (your answer to part b) was too wide and the confidence level too low. This association wants to be 95% confident and accurate within 3 seconds of the true mean time. The minimum sample size needed, in order to meet the stated specifications, is ______.

3. It has been claimed that home sellers in State X generally receive less than the asking price when selling their home. The following data represents a random selection of six single-family homes in State X that recently sold for the prices (in thousands of dollars) listed below. To test the claim, using a 5% level of significance, answer the parts below. Also assume that the population distributions of prices are normally distributed.

Home Asking Price Selling Price (Received amount)

#1 103 99

#2 227 224

#3 314 305

#4 140 140

#5 85 86

#6 295 275

a) The statement of hypothesis is Ho:__________ versus H1:________.

b) The distribution that can be justifiably utilized for this test is the _______________ (chi-square, F, t, z-standard normal) AND the critical value(s) from that distribution is/are ____________.

c) If the p-value is computed to be 0.063, then the appropriate decision to this test of hypothesis is to ___________ (reject Ho, not reject Ho), although there would exist the possibility of a _________________ (margin of error, standard error, Type I error, Type II error).

4. A psychologist suspects that windowless schools lead to anxiety in the psychological development of children. A random sample of children who are in windowless classrooms is selected and given an anxiety test. Higher scores indicate more anxiety. The same procedure is followed for a random selection of children in classrooms with windows. The results are shown below. By answering the following parts to this problem, test, using = 0.01, that the anxiety scores for windowless school children is significantly different than that for school children in schools with windows.

Windowless Schools Schools with Windows

Mean 94 90

Standard Deviation 8 10

Sample Size 36 30

a) The statement of hypothesis is Ho:__________ versus H1:________.

b) The distribution that can be justifiably utilized for this test is the _______________ (chi-square, F, t, z-standard normal) AND the critical value(s) from that distribution is/are ____________.

c) The computed test statistic value is ___________, and the formula used to compute this test statistic value is _______________. (A list is provided below to make it easier to state your answer. Please fill in the blank with the page number of the formula from the list below.)

5. According to a loan association, 65% of college freshman have no declared major. Let's say it is believed that the percentage of UMUC freshman with an undeclared major is lower than 65%. In a random sample of 25 UMUC Freshman, 14 said that they have not yet declared a major. Test the claim that the percentage of UMUC freshman with an undeclared major is lower than 65% using alpha = 0.05 by answering the following.

a) State the null and alternative hypotheses. Ho:__________ and H1:________.

b) The distribution that can be justifiably utilized for this test is the _______________ (chi-square, F, t, z-standard normal) AND the critical value(s) from

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