As part of a staged rollout, a new email client was installed on some of the computers of a major company's customer service representatives (CSRs). These CSRS have complained to management saying that the new client is much worse than the old one. One of the company's performance analysts has been tasked with determining if on the busiest day of the year the mean time (in minutes) spent working on email for CSRS using the new email client is greater than the mean time (in minutes) spent working on email for CSRS using the old email client. On the busiest day of the year, the performance analyst studies a random sample of 16 CSRS using the new email client and a random sample of 18 CSRS using the old email client. (These samples are chosen independently.) Each CSR records the amount of time (in minutes) they spend working on email. These data are shown in the table. New email client Old email client Send data to calculator Times working on email (in minutes) 195, 184, 153, 183, 191, 176, 186, 156, 174, 182, 178, 183, 189, 199, 148, 196 61, 245, 109, 161, 200, 173, 91, 229, 61, 149, 144, 238, 166, 181, 120, 175, 240, 121 Send data to Excel Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.10 level of significance, that the population mean of the times spent working on email that day for CSRS using the new email client is greater than the population mean of the times spent working on email that day for CSRS using the old email client? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternate hypothesis H₁. Ho :O H₁ :0 (b) Determine the type of test statistic to use. Chi-square Degrees of freedom: Н Ix X 6 O S On 0=0 OSO Р

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As part of a staged rollout, a new email client was installed on some of the computers of a major company's customer service representatives (CSRs). These
CSRS have complained to management saying that the new client is much worse than the old one. One of the company's performance analysts has been tasked
with determining if on the busiest day of the year the mean time (in minutes) spent working on email for CSRS using the new email client is greater than the
mean time (in minutes) spent working on email for CSRS using the old email client.
On the busiest day of the year, the performance analyst studies a random sample of 16 CSRS using the new email client and a random sample of 18 CSRS using
the old email client. (These samples are chosen independently.) Each CSR records the amount of time (in minutes) they spend working on email. These data are
shown in the table.
New email client
Old email client
Send data to calculator
Times working on email (in minutes)
195, 184, 153, 183, 191, 176, 186, 156, 174, 182, 178, 183, 189, 199, 148, 196
61, 245, 109, 161, 200, 173, 91, 229, 61, 149, 144, 238, 166, 181, 120, 175, 240, 121
Send data to Excel
Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.10 level of significance, that the
population mean of the times spent working on email that day for CSRS using the new email client is greater than the population mean of the times spent
working on email that day for CSRS using the old email client?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis Ho and the alternate hypothesis H₁.
H₂ : O
H₁:0
(b) Determine the type of test statistic to use.
Chi-square
Degrees of freedom:
μ
X
7²
0=0
O
S
OSO
р
P
00
0²0
Transcribed Image Text:As part of a staged rollout, a new email client was installed on some of the computers of a major company's customer service representatives (CSRs). These CSRS have complained to management saying that the new client is much worse than the old one. One of the company's performance analysts has been tasked with determining if on the busiest day of the year the mean time (in minutes) spent working on email for CSRS using the new email client is greater than the mean time (in minutes) spent working on email for CSRS using the old email client. On the busiest day of the year, the performance analyst studies a random sample of 16 CSRS using the new email client and a random sample of 18 CSRS using the old email client. (These samples are chosen independently.) Each CSR records the amount of time (in minutes) they spend working on email. These data are shown in the table. New email client Old email client Send data to calculator Times working on email (in minutes) 195, 184, 153, 183, 191, 176, 186, 156, 174, 182, 178, 183, 189, 199, 148, 196 61, 245, 109, 161, 200, 173, 91, 229, 61, 149, 144, 238, 166, 181, 120, 175, 240, 121 Send data to Excel Assume that the populations of times are approximately normally distributed. Can the performance analyst conclude, at the 0.10 level of significance, that the population mean of the times spent working on email that day for CSRS using the new email client is greater than the population mean of the times spent working on email that day for CSRS using the old email client? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternate hypothesis H₁. H₂ : O H₁:0 (b) Determine the type of test statistic to use. Chi-square Degrees of freedom: μ X 7² 0=0 O S OSO р P 00 0²0
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H and the alternate hypothesis H₁.
H :D
H₁ :0
(b) Determine the type of test statistic to use.
Chi-square ▼
Degrees of freedom:
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0
(d) Find the p-value. (Round to three or more decimal places.)
(e) At the 0.10 level of sign ance, car
performance analyst conclude that
the mean time spent working on email that day for CSRS using the new email
client is greater than the mean time spent working on email that day for
CSRS using the old email client?
Yes No
Н
X
4
0=0
O
X
S
2
Р
P
S
olo
OSO 020
0#0 0<0 0>0
Transcribed Image Text:Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternate hypothesis H₁. H :D H₁ :0 (b) Determine the type of test statistic to use. Chi-square ▼ Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.10 level of sign ance, car performance analyst conclude that the mean time spent working on email that day for CSRS using the new email client is greater than the mean time spent working on email that day for CSRS using the old email client? Yes No Н X 4 0=0 O X S 2 Р P S olo OSO 020 0#0 0<0 0>0
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