A report states that adults 18- to 24- years-old send and receive 128 texts every day. Suppose we take a sample of 25- to 34- year-olds to see if their mean number of daily texts diff from the mean for 18- to 24- year-olds. (a) State the null and alternative hypotheses we should use to test whether the population mean daily number of texts for 25- to 34-year-olds differs from the population daily mea number of texts for 18- to 24-year-olds. (Enter != for # as needed.) Ho: H: (b) Suppose a sample of thirty 25- to 34-year-olds showed a sample mean of 118.8 texts per day. Assume a population standard deviation of 33.17 texts per day. Compute the p-value. (Round your answer to four decimal places.) p-value = (c) With a = 0.05 as the level of significance, what is your conclusion? O Reject Ho. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-ole O Do not reject Ho. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- year-olds. O Do not reject Ho. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-y olds. O Reject Ho. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A report states that adults 18- to 24- years-old send and receive 128 texts every day. Suppose we take a sample of 25- to 34- year-olds to see if their mean number of daily texts differs
from the mean for 18- to 24- year-olds.
(a) State the null and alternative hypotheses we should use to test whether the population mean daily number of texts for 25- to 34-year-olds differs from the population daily mean
number of texts for 18- to 24-year-olds. (Enter != for # as needed.)
Ho:
H3:
(b) Suppose a sample of thirty 25- to 34-year-olds showed a sample mean of 118.8 texts per day. Assume a population standard deviation of 33.17 texts per day.
Compute the p-value. (Round your answer to four decimal places.)
p-value =
(c) With a = 0.05 as the level of significance, what is your conclusion?
O Reject H,. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds.
O Do not reject Ho. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-
year-olds.
O Do not reject Ho. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year
olds.
O Reject H. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-old
(d) Repeat the preceding hypothesis test using the critical value approach.
State the null and alternative hypotheses. (Enter != for # as needed.)
Ho:
Transcribed Image Text:A report states that adults 18- to 24- years-old send and receive 128 texts every day. Suppose we take a sample of 25- to 34- year-olds to see if their mean number of daily texts differs from the mean for 18- to 24- year-olds. (a) State the null and alternative hypotheses we should use to test whether the population mean daily number of texts for 25- to 34-year-olds differs from the population daily mean number of texts for 18- to 24-year-olds. (Enter != for # as needed.) Ho: H3: (b) Suppose a sample of thirty 25- to 34-year-olds showed a sample mean of 118.8 texts per day. Assume a population standard deviation of 33.17 texts per day. Compute the p-value. (Round your answer to four decimal places.) p-value = (c) With a = 0.05 as the level of significance, what is your conclusion? O Reject H,. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds. O Do not reject Ho. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24- year-olds. O Do not reject Ho. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year olds. O Reject H. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-old (d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses. (Enter != for # as needed.) Ho:
Find the value of the test statistic. (Round your answer to two decimal places.)
State the critical values for the rejection rule. (Use a = 0.05. Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)
test statistic s
test statistic 2
State your conclusion.
O Reject H. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds.
O Do not reject H,. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-
year-olds.
O Do not reject Ho. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-
olds.
O Reject H,. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds.
Transcribed Image Text:Find the value of the test statistic. (Round your answer to two decimal places.) State the critical values for the rejection rule. (Use a = 0.05. Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic s test statistic 2 State your conclusion. O Reject H. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds. O Do not reject H,. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24- year-olds. O Do not reject Ho. We can conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year- olds. O Reject H,. We cannot conclude that the population mean daily texts for 25- to 34-year-olds differs significantly from the population mean of 128 daily texts for 18- 24-year-olds.
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