1, test the claim that there is no difference betv (2). needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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6.
The data below are for two different types of straw seed that were used on adjacent plots of land. The listed values are the yields of straw in cwt (100 lb, or hundredweight) per acre, and the yields are paired by the plot of land that they share. Complete parts (a)
through (c).
19 |22.75 |22.75 22.75 | 22.75
25.25
20 |24.25| 15.5 | 17.75| 14
Туре 1
Турe 2
17.25 O
24
24.25 28.25 22.25 19.25 22.5
16
17.5
16
17
a. Using a 0.05 significance level, test the claim that there is no difference between the yields from the two types of seed. Let u. be the mean of the population of differences of type 1 minus type 2 and write the hypotheses.
The null hypothesis is Ho: (1)
The alternative hypothesis is H,: (2)
The test statistic is
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
State the conclusion that addresses the original claim.
There (3)
enough evidence to reject the null hypothesis, so the claim of no difference between the yields should (4)
b. Construct a 95% confidence interval estimate of the mean difference between the yields from the two types of seed.
> Prl >
(Round to two decimal places as needed.)
c. Does it appear that either type of seed is better?
It (5)
is better because the claim of no difference (6)
and the confidence interval contains (7)
(1) O Ha >0.
O Ha <0.
O Hg #0.
O Hd = 0.
(3) O is
O is not
(4) O be acсepted.
be rejected.
(2)
(5) O appears that type 1 is better than type 2
(6)
O was accepted
(7)
zero
O does not appear that either type is better
O appears that type 2 is better than type 1
O Ha = 0.
was rejected
only positive numbers.
O Hd > 0.
not be rejected.
was not rejected
O only negative numbers
O Hd #0.
Transcribed Image Text:6. The data below are for two different types of straw seed that were used on adjacent plots of land. The listed values are the yields of straw in cwt (100 lb, or hundredweight) per acre, and the yields are paired by the plot of land that they share. Complete parts (a) through (c). 19 |22.75 |22.75 22.75 | 22.75 25.25 20 |24.25| 15.5 | 17.75| 14 Туре 1 Турe 2 17.25 O 24 24.25 28.25 22.25 19.25 22.5 16 17.5 16 17 a. Using a 0.05 significance level, test the claim that there is no difference between the yields from the two types of seed. Let u. be the mean of the population of differences of type 1 minus type 2 and write the hypotheses. The null hypothesis is Ho: (1) The alternative hypothesis is H,: (2) The test statistic is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion that addresses the original claim. There (3) enough evidence to reject the null hypothesis, so the claim of no difference between the yields should (4) b. Construct a 95% confidence interval estimate of the mean difference between the yields from the two types of seed. > Prl > (Round to two decimal places as needed.) c. Does it appear that either type of seed is better? It (5) is better because the claim of no difference (6) and the confidence interval contains (7) (1) O Ha >0. O Ha <0. O Hg #0. O Hd = 0. (3) O is O is not (4) O be acсepted. be rejected. (2) (5) O appears that type 1 is better than type 2 (6) O was accepted (7) zero O does not appear that either type is better O appears that type 2 is better than type 1 O Ha = 0. was rejected only positive numbers. O Hd > 0. not be rejected. was not rejected O only negative numbers O Hd #0.
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