The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 205.00 cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 193.50 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is☐ (Round to four decimal places as needed.) b. The probability is. (Round to four decimal places as needed.) c. Choose the correct answer below. OA. The normal distribution can be used because the mean is large. OB. The normal distribution can be used because the finite population correction factor is small. OC. The normal distribution can be used because the original population has a normal distribution. OD. The normal distribution can be used because the probability is less than 0.5 13 Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 24%. Use a 0.10 significance level to test that claim. O A. Ho p=0.24 H₁ p 0.24 OB. Ho p=0.24 H₁ p>0.24 OC. Ho p=0.24 H₁: p<0.24 OD. Ho p# 0.24 H₁ p=0.24 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test The P-value for this hypothesis test is ☐ (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. E OA. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% OB. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% OD. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8 cm.
a. Find the probability that an individual distance is greater than 205.00 cm.
b. Find the probability that the mean for 15 randomly selected distances is greater than 193.50 cm.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
a. The probability is☐
(Round to four decimal places as needed.)
b. The probability is.
(Round to four decimal places as needed.)
c. Choose the correct answer below.
OA. The normal distribution can be used because the mean is large.
OB. The normal distribution can be used because the finite population correction factor is small.
OC. The normal distribution can be used because the original population has a normal distribution.
OD. The normal distribution can be used because the probability is less than 0.5
13
Transcribed Image Text:The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 205.00 cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 193.50 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is☐ (Round to four decimal places as needed.) b. The probability is. (Round to four decimal places as needed.) c. Choose the correct answer below. OA. The normal distribution can be used because the mean is large. OB. The normal distribution can be used because the finite population correction factor is small. OC. The normal distribution can be used because the original population has a normal distribution. OD. The normal distribution can be used because the probability is less than 0.5 13
Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 24%. Use a 0.10 significance level to test that claim.
O A. Ho p=0.24
H₁ p 0.24
OB. Ho p=0.24
H₁ p>0.24
OC. Ho p=0.24
H₁: p<0.24
OD. Ho p# 0.24
H₁ p=0.24
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
(Round to two decimal places as needed.)
Identify the P-value for this hypothesis test
The P-value for this hypothesis test is ☐
(Round to three decimal places as needed.)
Identify the conclusion for this hypothesis test.
E
OA. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24%
OB. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24%
OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24%
OD. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24%
Transcribed Image Text:Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 24%. Use a 0.10 significance level to test that claim. O A. Ho p=0.24 H₁ p 0.24 OB. Ho p=0.24 H₁ p>0.24 OC. Ho p=0.24 H₁: p<0.24 OD. Ho p# 0.24 H₁ p=0.24 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test The P-value for this hypothesis test is ☐ (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. E OA. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% OB. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% OD. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24%
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