Q.no. 3: Suppose it is known from experience that the standard deviation of the weight of 10-ounce packages of cookies is 0.20 ounces. To check whether the true average is, on a given day, 10 ounces, employees select a random sample of 36 packages and find that their mean weight is x %3D 9.45 ounces. Perform a two-tailed z-test on this data, checking at the a = .01 significance level.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Q.no.1: Suppose we want to test whether girls, on average, score higher than 600 on the SAT
verbal section. Suppose we choose our a to be .05. Data using a random sample of 20 girls and
their verbal section scores is given below. Calculate the sample mean and test statistics.
650
730
510
670
480
800
690
530
590
620
710
670
640
780
650
490
800
600
510
Q.no.2: Test at the a = .05 significance level whether the mean of a random sample of size n = 16
is statistically significantly less than 10 if the distribution from which the sample was taken is
normal, x= 8.4 and o 2 = 10.24. What are the null and alternative hypotheses for this test?
Q.no. 3: Suppose it is known from experience that the standard deviation of the weight of 10-ounce
packages of cookies is 0.20 ounces. To check whether the true average is, on a given day, 10
ounces, employees select a random sample of 36 packages and find that their mean weight is x =
9.45 ounces. Perform a two-tailed z-test on this data, checking at the a = .01 significance level.
Transcribed Image Text:Q.no.1: Suppose we want to test whether girls, on average, score higher than 600 on the SAT verbal section. Suppose we choose our a to be .05. Data using a random sample of 20 girls and their verbal section scores is given below. Calculate the sample mean and test statistics. 650 730 510 670 480 800 690 530 590 620 710 670 640 780 650 490 800 600 510 Q.no.2: Test at the a = .05 significance level whether the mean of a random sample of size n = 16 is statistically significantly less than 10 if the distribution from which the sample was taken is normal, x= 8.4 and o 2 = 10.24. What are the null and alternative hypotheses for this test? Q.no. 3: Suppose it is known from experience that the standard deviation of the weight of 10-ounce packages of cookies is 0.20 ounces. To check whether the true average is, on a given day, 10 ounces, employees select a random sample of 36 packages and find that their mean weight is x = 9.45 ounces. Perform a two-tailed z-test on this data, checking at the a = .01 significance level.
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