Math

StatisticsQ&A LibraryFowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 13 minutes or less. If a longer mean survey time is necessary, a premium rate is charged. A sample of 35 surveys from a particular client provided the survey times shown in the file named Fowle. Based upon past studies, the population standard deviation is assumed known with σ = 9 minutes. Is the premium rate justified for this client? 17 11 12 23 20 23 15 16 23 22 18 23 25 14 12 12 20 18 12 19 11 11 20 21 11 18 14 13 13 19 16 10 22 18 23 (a) Formulate the null and alternative hypotheses for this application. H0: μ = 13 Ha: μ ≠ 13 H0: μ < 13 Ha: μ ≥ 13 H0: μ ≤ 13 Ha: μ > 13 H0: μ ≥ 13 Ha: μ < 13 H0: μ > 13 Ha: μ ≤ 13 (b) Compute the value of the test statistic. (Round your answer to two decimal places.) (c) What is the p-value? (Round your answer to four decimal places.) p-value =Start your trial now! First week only $4.99!*arrow_forward*

Question

Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 13 minutes or less. If a longer mean survey time is necessary, a premium rate is charged. A sample of 35 surveys from a particular client provided the survey times shown in the file named Fowle. Based upon past studies, the population standard deviation is assumed known with

σ = 9 minutes.

Is the premium rate justified for this client?17 | 11 | 12 | 23 | 20 | 23 | 15 |

16 | 23 | 22 | 18 | 23 | 25 | 14 |

12 | 12 | 20 | 18 | 12 | 19 | 11 |

11 | 20 | 21 | 11 | 18 | 14 | 13 |

13 | 19 | 16 | 10 | 22 | 18 | 23 |

(a)

Formulate the null and alternative hypotheses for this application.

H_{0}: μ = 13

H_{a}: μ ≠ 13

H_{0}: μ < 13

H_{a}: μ ≥ 13

H_{0}: μ ≤ 13

H_{a}: μ > 13

H_{0}: μ ≥ 13

H_{a}: μ < 13

H_{0}: μ > 13

H_{a}: μ ≤ 13

(b)

Compute the value of the test statistic. (Round your answer to two decimal places.)

(c)

What is the *p*-value? (Round your answer to four decimal places.)

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