Deliveroo is an online food delivery company founded in London. Recently they upgraded their Australian IT systems to better allocate which orders are batched together with which drivers and their associated transport vehicle (Car, Motorbike, Bicycle, ..). They are now measuring the (hoped) improvement in the average time between a customer submitting an order and the delivery of that order to the customer (called the completion time). Prior the upgrade, the mean completion time was 30 mins. A random sample of 49 orders placed with the new IT has a mean completion time of 27.2 minutes with a 6 min sample standard deviation. a. Use the critical value approach at a 0.01 level of significance, to determine if there is evidence that the completion time has improved. The null and alternative hypotheses for this test are: O A. Ho: Hs27.2 Hi: μ> 27.2 O B. Ho: H2 30 H: µ<30 OC. Ho: H> 30 H: μ 30 OF. Ho: Hs30 H;: u> 30 O D. Ho: H227.2 H1: µ<27.2 O E. Ho: H<30 Η: με 30 What is the test statistic for this test? STAT =O (Round your answer to two decimal places.) What is(are) the critical value(s) for this test? (Round your answer to two decimal places. Use commas to separate your answers as needed.)

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b. Use the p-value approach at a 0.01 level of significance, to determine if there is evidence that the completion time has improved.
What is the p-value for this test?
p-value =
(Give your answer as a decimal rounded to four decimal places, not as a percentage.)
Transcribed Image Text:b. Use the p-value approach at a 0.01 level of significance, to determine if there is evidence that the completion time has improved. What is the p-value for this test? p-value = (Give your answer as a decimal rounded to four decimal places, not as a percentage.)
Deliveroo is an online food delivery company founded in London. Recently they upgraded their Australian IT systems to better allocate which orders are
batched together with which drivers and their associated transport vehicle (Car, Motorbike, Bicycle, .).
They are now measuring the (hoped) improvement in the average time between a customer submitting an order and the delivery of that order to the
customer (called the completion time). Prior the upgrade, the mean completion time was 30 mins. A random sample of 49 orders placed with the new
IT has a mean completion time of 27.2 minutes with a 6 min sample standard deviation.
a. Use the critical value approach at a 0.01 level of significance, to determine if there is evidence that the completion time has improved.
The null and alternative hypotheses for this test are:
Ο Α. Ho μs 27.2
H1: H> 27.2
Ο Β. Ho: μ3 0
H1:µ<30
O C. Ho: μ> 30
H1:Hs 30
O D. Ho: H2 27.2
Ο Ε. Ho: μ< 30
H1: µ2 30
Ο F. Ho μ< 30
H4: H<27.2
H1: µ> 30
What is the test statistic for this test?
tSTAT =|
(Round your answer to two decimal places.)
What is(are) the critical value(s) for this test?
(Round your answer to two decimal places. Use commas to separate your answers as needed.)
Transcribed Image Text:Deliveroo is an online food delivery company founded in London. Recently they upgraded their Australian IT systems to better allocate which orders are batched together with which drivers and their associated transport vehicle (Car, Motorbike, Bicycle, .). They are now measuring the (hoped) improvement in the average time between a customer submitting an order and the delivery of that order to the customer (called the completion time). Prior the upgrade, the mean completion time was 30 mins. A random sample of 49 orders placed with the new IT has a mean completion time of 27.2 minutes with a 6 min sample standard deviation. a. Use the critical value approach at a 0.01 level of significance, to determine if there is evidence that the completion time has improved. The null and alternative hypotheses for this test are: Ο Α. Ho μs 27.2 H1: H> 27.2 Ο Β. Ho: μ3 0 H1:µ<30 O C. Ho: μ> 30 H1:Hs 30 O D. Ho: H2 27.2 Ο Ε. Ho: μ< 30 H1: µ2 30 Ο F. Ho μ< 30 H4: H<27.2 H1: µ> 30 What is the test statistic for this test? tSTAT =| (Round your answer to two decimal places.) What is(are) the critical value(s) for this test? (Round your answer to two decimal places. Use commas to separate your answers as needed.)
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