A regional manager is comparing customer satisfaction ratings at two of its stores. 100 customer ratings from each store are randomly selected. The mean and standard deviation for each sample are shown in the table. Sample Mean Sample Standard Deviation Store A Store B 4.05 3.99 0.039 0.025 The manager wants to see if there is a significant difference in customer satisfaction ratings at the two stores. What are the null and alternative hypotheses that should be used to test this claim? Ⓒnull: 4 - 4₂ = 0; alternative: 44-H₂ #0 O null: 4 - 4 >0; alternative: 4 - As

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A regional manager 

A regional manager is comparing customer satisfaction ratings at two of its stores. 100 customer ratings from each store are randomly selected. The mean and standard deviation for each sample are shown in the table below.

|            | Sample Mean | Sample Standard Deviation |
|------------|-------------|---------------------------|
| Store A    | 4.05        | 0.039                     |
| Store B    | 3.99        | 0.025                     |

The manager wants to see if there is a significant difference in customer satisfaction ratings at the two stores. What are the null and alternative hypotheses that should be used to test this claim?

- ○ Null: \( \mu_1 - \mu_2 = 0 \); Alternative: \( \mu_1 - \mu_2 \neq 0 \)
- ○ Null: \( \mu_1 - \mu_2 > 0 \); Alternative: \( \mu_1 - \mu_2 < 0 \)
- ○ Null: \( \mu_1 - \mu_2 \neq 0 \); Alternative: \( \mu_1 - \mu_2 = 0 \)
- ○ Null: \( \mu_4 - \mu_6 = 0 \); Alternative: \( \mu_4 - \mu_6 < 0 \)
Transcribed Image Text:A regional manager is comparing customer satisfaction ratings at two of its stores. 100 customer ratings from each store are randomly selected. The mean and standard deviation for each sample are shown in the table below. | | Sample Mean | Sample Standard Deviation | |------------|-------------|---------------------------| | Store A | 4.05 | 0.039 | | Store B | 3.99 | 0.025 | The manager wants to see if there is a significant difference in customer satisfaction ratings at the two stores. What are the null and alternative hypotheses that should be used to test this claim? - ○ Null: \( \mu_1 - \mu_2 = 0 \); Alternative: \( \mu_1 - \mu_2 \neq 0 \) - ○ Null: \( \mu_1 - \mu_2 > 0 \); Alternative: \( \mu_1 - \mu_2 < 0 \) - ○ Null: \( \mu_1 - \mu_2 \neq 0 \); Alternative: \( \mu_1 - \mu_2 = 0 \) - ○ Null: \( \mu_4 - \mu_6 = 0 \); Alternative: \( \mu_4 - \mu_6 < 0 \)
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