Manufacturer of a CNC machine claims that the average warm-up time for their machine is 10 minutes. We would like to test this olaim at a 0.10 significance level and therefore run 10 trials that resuit in the following warm-up durations (in minutes). Warm-up durations are assumed to follow a Normal distribut 10.0. 0.8, 10.0, 10.4, 10.4, 10.5. 0.0, 0.8, 10.0. 10.3 O Slink here to viewR2Oe 1of the table of critical values of the t-distribution. Cliek here to viewRRas 2 the tanle od criticalvalue of the tedlistribution. (a) Choose the correct H, and H, below. O A. Ho: = 10 against H, u< 10 OB. H, 10 against H, 10 OC. H u> 10 against H, 10 OD. H: = 10 against H, u> 10 OE. H: u< 10 against H,: 10 OF Hi u 10 against H,: u 10 (b) The calculated t value is (Round to two decimal places including any zeros.) (0) Choose the correct critical region below. (Round to two decimal places including any zeros.) OA t OB. »O Oc t« or t»O (d) Choose the correct conclusion below. O A. Reject the null hypothesis because the average warm-up time is significantly different from 10 minutes. OB. Reject the null hypothesis because the average warm-up time is not significantly different from 10 minutes. OC. Do not reject the null hypothesis because the average warm-up time is not significantly different from 10 minutes. OD. Do not reject the null hypothesis because the average warm-up time is significantly different from 10 minutes

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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Manufacturer of a CNC machine claims that the average warm-up time for their machine is 10 minutes. We would like to test this claim at a 0.10 significance level and therefore run 10 trials that result in the following warm-up durations (in minutes). Warm-up durations are assumed to follow a Normal distribution.
10.6, 9.8, 10.6, 10.4, 10.4, 10.5, 9.9, 9.8, 10.6, 10.30
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
(a) Choose the correct H, and H, below.
O A. H: u= 10 against H,: u< 10
O B. H,: u= 10 against H, : u# 10
OC. H,: µ> 10 against H,: u= 10o
O D. H,: u= 10 against H, : > 10
O E. H,: µ< 10 against H, : u= 10o
OF. H,: H10 against H,: p= 10
(b) The calculated t value is (Round to two decimal places including any zeros.)
(c) Choose the correct critical region below. (Round to two decimal places including any zeros.)
OA. t<
OB. t>
Oc. t< or >
(d) Choose the correct conclusion below.
O A. Reject the nul hypothesis because the average wam-up time is significantly different from 10 minutes.
O B. Reject the null hypothesis because the average wam-up time is not significantly different from 10 minutes.
O C. Do not reject the null hypothesis because the average warm-up time is not significantly different from 10 minutes.
O D. Do not reject the null hypothesis because the average warm-up time is significantly different from 10 minutes.
Transcribed Image Text:Manufacturer of a CNC machine claims that the average warm-up time for their machine is 10 minutes. We would like to test this claim at a 0.10 significance level and therefore run 10 trials that result in the following warm-up durations (in minutes). Warm-up durations are assumed to follow a Normal distribution. 10.6, 9.8, 10.6, 10.4, 10.4, 10.5, 9.9, 9.8, 10.6, 10.30 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. (a) Choose the correct H, and H, below. O A. H: u= 10 against H,: u< 10 O B. H,: u= 10 against H, : u# 10 OC. H,: µ> 10 against H,: u= 10o O D. H,: u= 10 against H, : > 10 O E. H,: µ< 10 against H, : u= 10o OF. H,: H10 against H,: p= 10 (b) The calculated t value is (Round to two decimal places including any zeros.) (c) Choose the correct critical region below. (Round to two decimal places including any zeros.) OA. t< OB. t> Oc. t< or > (d) Choose the correct conclusion below. O A. Reject the nul hypothesis because the average wam-up time is significantly different from 10 minutes. O B. Reject the null hypothesis because the average wam-up time is not significantly different from 10 minutes. O C. Do not reject the null hypothesis because the average warm-up time is not significantly different from 10 minutes. O D. Do not reject the null hypothesis because the average warm-up time is significantly different from 10 minutes.
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