By Dr Mussa Abdulkadir

  1. Interpretation

We are 90% confident that the mean price all summer sleeping bags that keep you warm from is found between $72.55 and $94.95.

a)We test : μ = 67 cm vs. : μ cm.

b) t = (61.8−67)/(10.6/√16).=1.962.

c) The P-value is approximately equal to 0.069. This means that if the mean slab thickness in the Vail region is the same as that of Canada, the probability that the sample mean will take a value of 61.8 cm or less, or 72.2 cm or moreis about7%.

d)The P-value is greater than the given level of significance Hence, it is likely to obtain a value of the sample mean of 61.8 cm when the mean slab thickness in the Vail region is the same as that of Canada. Therefore,the sample data doesnot give sufficient evidence supportingthe mean slab thickness in the Vail region is different from that of Canada.

a)We test : μ = 1.75 years vs. : μ

b) t = (2.05−1.75)/(0.82/√46).=2.481.

c)The P-value is approximately equal to 0.0084. This means that if the coyotes of this region live 1.75 years on average, thenthe probability that the sample mean will take a value of 2.05 years or more is about 0.8%.

d)The P-value is less than the given level of significance Hence, it is unlikely to obtain a value of the sample mean of 2.05 years when the coyotes of this region live 1.75 years on average. Therefore, the sample data give sufficient evidence that supports coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years.

a)We test : μ = 4.8 millions s vs. : μ

b)t = (4.40−4.8)/(0.28/√6).=.

c)The P-value is approximately equal to 0.0086. This means that if the populations mean RBC count for this patient is 4.8 millions, then the probability that the sample mean will take a value of 4.40 million or lessis about 0.9%.

d)The P-value is less than the given level of significance Hence, it is unlikely to obtain a value of the sample mean of 4.40 million if the population mean RBC count for this patient is 4.8 millions. Therefore, the given data indicates that the population mean RBC count for this patient is lower than 4.8 millions.

a)We test : μ = 14 grams s vs. : μ

b)t = (15.1−14)/(2.51/√10).=.

c)The P-value is approximately equal to 0.09958. This means that if the populations average HC for this patient is 14 grams, then the probability that the sample mean will take a value of 15.1 grams or more isabout 10%.

d)The P-value is greater than the given level of significance Hence, it is likely to obtain a value of the sample mean of 15.1 grams if the population average HC for this patient is14 grams. Therefore, the given information does not indicate that the populations average HC for this patient is higher than 14 grams.

a)We test : s vs. :

b)t = (0.37−0)/(0.47/√7).=2.08.

c)The P-value is approximately equal to 0.00823. This means that if there is no difference in the population mean hours per fish caught using a bout compared with from the shore, then the probability that the difference of the sample means will take a value or less, or 0.37 or more is about 0.8%.

d)The P-value is less than the given level of significance Hence, it is unlikely to obtain a value of the difference of the sample means of 0.37 if there is no difference in the population mean hours per fish caught using a bout compared with from the shore. Therefore, the given data indicate that that supports there is a difference in the population mean hours per fish caught using a bout compared with from the shore.

a)We test : s vs. :

b)t = (12.6−0)/(22.66/√5).=1.24.

c)The P-value is approximately equal to 0.14078. This means that if the pick wind gust in January is the same as that of April on average, then the probability that the difference of the sample means will take a value or less, or 12.60 or more is about 14.1%.

d)The P-value is greater than the given level of significance Hence, it is likely to obtain a value of the difference of the sample means of 12.60 if the pick wind gust in January is the same as that of April on average. Therefore, the given sample information does not support that the pick wind gusts are higher in January than in April.