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PLEASE USE THE BELOW GIVEN DATA TO SOLVE THIS PROBLEM. INCLUDING THE BRIEF REPORT.

THANK YOU.

Sales (Y) Calls (X1) Time (X2) Years (X3) Type
47 167 12.9 5 ONLINE
47 167 16.1 5 ONLINE
44 165 14.2 5 GROUP
43 137 16.6 4 NONE
34 184 12.5 4 GROUP
36 173 14.3 4 GROUP
44 160 14.1 4 NONE
34 132 18.2 4 NONE
48 182 14.1 4 ONLINE
41 158 13.8 4 GROUP
38 163 10.8 4 GROUP
53 183 11.4 4 ONLINE
39 148 14.4 4 GROUP
48 164 14.7 3 NONE
46 182 13.2 3 ONLINE
34 122 20.4 3 NONE
30 175 14.3 3 GROUP
38 145 15.6 3 NONE
43 164 13.1 3 ONLINE
40 148 15.2 3 GROUP
46 161 16.6 3 ONLINE
42 153 14.9 3 GROUP
39 181 14.7 3 ONLINE
48 163 15.5 3 GROUP
45 152 17.1 3 GROUP
39 147 13.6 3 GROUP
44 133 19.2 3 GROUP
47 166 13.8 3 ONLINE
37 192 13.7 3 ONLINE
42 154 13.6 3 ONLINE
40 135 19.5 3 GROUP
45 155 11.6 3 GROUP
33 164 15.9 3 ONLINE
42 160 16.5 3 GROUP
38 142 17.9 3 NONE
42 183 14.4 2 ONLINE
51 183 11.4 2 ONLINE
44 136 17.2 2 GROUP
40 201 13.1 2 ONLINE
39 127 17.1 2 ONLINE
35 188 18.2 2 ONLINE
47 173 14.6 2 ONLINE
52 187 12.5 2 ONLINE
43 150 15.3 2 GROUP
41 133 15.9 2 NONE
40 158 15.6 2 ONLINE
52 181 11.8 2 ONLINE
41 138 16.1 2 NONE
37 171 11.7 2 GROUP
47 174 13.8 2 GROUP
40 146 18.2 2 GROUP
50 162 15.6 2 ONLINE
48 152 19.9 2 ONLINE
44 174 18.5 2 GROUP
46 170 14.2 2 ONLINE
41 155 14.8 2 GROUP
37 163 14.4 2 ONLINE
49 181 11.6 2 NONE
40 139 15.7 2 NONE
36 162 18.4 2 ONLINE
42 148 13.7 2 NONE
41 147 16.8 2 GROUP
51 193 12.1 2 ONLINE
35 149 19.3 2 NONE
49 187 14.3 2 ONLINE
37 128 19.7 2 NONE
46 174 16.6 2 GROUP
46 160 12.9 1 GROUP
46 148 15.5 1 GROUP
39 131 18.4 1 GROUP
43 153 17.3 1 NONE
44 145 15.8 1 NONE
40 132 12.8 1 NONE
48 191 13.6 1 GROUP
41 137 16.7 1 NONE
38 127 18.5 1 GROUP
38 139 12.2 1 NONE
34 160 13.1 1 ONLINE
36 158 17.5 1 GROUP
50 172 11.1 1 ONLINE
40 192 12.7 1 ONLINE
41 148 14.8 1 GROUP
45 165 16.4 1 GROUP
53 174 15.1 1 ONLINE
52 175 12.3 1 NONE
37 189 12.7 1 ONLINE
36 204 12.1 1 ONLINE
45 151 13.6 1 GROUP
45 153 13.4 1 GROUP
41 173 15.4 1 ONLINE
44 144 15.3 0 GROUP
45 148 16.3 0 ONLINE
41 120 17.7 0 NONE
43 164 15.2 0 ONLINE
48 142 14.8 0 NONE
43 173 12.8 0 ONLINE
48 173 17.4 0 ONLINE
42 191 14.2 0 ONLINE
45 152 21.8 0 ONLINE
48 169 14.8 0 ONLINE

Complete the following four hypotheses, using a 0.05 for each a. Mean sales per week exceeds 41.5 per salesperson b. Proporti

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Answer #1

1)

One-Sample T: Sales (Y)

Descriptive Statistics

N Mean StDev SE Mean
100 42.620 5.037 0.504

μ: mean of Sales (Y)

Test

Null hypothesis H₀: μ = 41.5
Alternative hypothesis H₁: μ > 41.5
T-Value P-Value
2.22 0.014

p-value is lesser than 0.05 we reject null hypothesis.

Test and CI for One Proportion

Method

p: event proportion
Normal approximation method is used for this analysis.

Descriptive Statistics

N Event Sample p 95% Upper Bound
for p
100 42 0.420000 0.501183

Test

Null hypothesis H₀: p = 0.55
Alternative hypothesis H₁: p < 0.55
Z-Value P-Value
-2.61 0.004

p-value is lesser than 0.05 we reject null hypothesis.

One-Sample T: Calls (X1)

Descriptive Statistics

N Mean StDev SE Mean 95% Lower Bound
for μ
100 160.43 19.13 1.91 157.25

μ: mean of Calls (X1)

Test

Null hypothesis H₀: μ = 145
Alternative hypothesis H₁: μ > 145
T-Value P-Value
8.07 0.000

p-value is lesser than 0.05 we  reject null hypothesis.

One-Sample T: Time (X2)

Descriptive Statistics

N Mean StDev SE Mean 95% Lower Bound
for μ
100 15.107 2.344 0.234 14.718

μ: mean of Time (X2)

Test

Null hypothesis H₀: μ = 15
Alternative hypothesis H₁: μ > 15
T-Value P-Value
0.46 0.325

p-value is lesser than 0.05 we fail to reject null hypothesis.

2) 95 % CI

Mean sales

95% CI for μ
(41.621, 43.619)

Oline training

95% CI for p
(0.323264, 0.516736)

Mean calls

95% CI for μ
(156.63, 164.23)

Time

95% CI for μ
(14.642, 15.572)
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