De Homework- Kailey Miller-Google Cheome àSecure https//www.m B8flushed false&il

Question

De Homework- Kailey Miller-Google Cheome àSecure https//www.m B8flushed false&ild; 46696788icenterwin-ye STA2023 FALL 2017 ONLINE (CRN 11765) Homework: HW 28: Chapter 8 Section 4 Save Score: 0 of 6 pts 50t 8 (4 complete) Score: 23 33%, 70130 pt 8.4.7 Assigned Media Question Help * Test the following claim Mentily the mull hypothesls, altemative hypothesis, test statistic, critical vale(s), concusion about the null hypothesis, and final conckusion that addresses the original claim manual states that in order to be a hit, a song must be no longer than three minutes and ten seconds (or 190 seconds) A simple random sample of 40 current hit songs results in a mean length of 250 0 sec Assume the population standard deviation of song lengths is 55 5 sec Use a 001 significance level to test the claim that the sample s from a population of songs with a mean greater than 190 sec. What do these resut suggest about the advice given in the marual? What are the nul and altemative hypotheses? OA. H, 190 sec OB HP 190 sec H, p 190 sec H, >190 sec O D. H, P190 sec H, p190 sc H,

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 190
HA : > 190
Standard deviation = 55.5

Hypothesis test results:

Hence,

Null and Alternative Hypotheses: Option B is correct.

Test statistic = 6.84

Critical value = 2.33

Reject Ho

Mean n Sample Mean Std. Err. Z-Stat P-value 40 250 8.7753205 6.8373571 <0.0001

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