Help please An electrician wants to know whether batteries made by two manufacturers have significantly different voltages. The voltage of 135 batteries from each manufacturer was measured. The population standard deviations of the voltage for each manufacturer are known. The results are summarized in the following table.| Manufacturer | Sample mean voltage (millivolts) | Population standard deviation (millivolts) ||--------------|----------------------------------|------------------------------------------|| A | 107 | 1 || B | 106 | 4 |- **What type of hypothesis test should be performed?** - Options to select from: Left-tailed t-test, Right-tailed t-test, Two-tailed t-test, Two-tailed z-test- **What is the test statistic?** (Textbox for answer)- **Does sufficient evidence exist to support the claim that the mean voltage of batteries made by the two manufacturers is different at the \( \alpha = 0.05 \) significance level?** - Textbox for answer**Explanation for Graphs/Diagrams:**The table compares the sample mean voltage and population standard deviation for two different manufacturers. Manufacturer A has a sample mean voltage of 107 millivolts with a population standard deviation of 1 millivolt. Manufacturer B has a sample mean voltage of 106 millivolts with a population standard deviation of 4 millivolts. The hypothesis test options provided are used to determine if there is a statistically significant difference between the two manufacturers' mean voltages. **Hypothesis Testing: Comparing Battery Voltages****Objective:**To determine if sufficient evidence exists to support the claim that the voltage of batteries manufactured by two different companies differs at a significance level of α = 0.01.**Components:**- **Two Manufacturers:** The study involves comparing the battery voltages produced by two manufacturers. - **Significance Level (α):** Set at 0.01, indicating a 1% risk of concluding that a difference exists when there is none. This is a stringent test, minimizing Type I error (false positive).**Question:**Does the voltage differ significantly between the two manufacturers?**Approach:**1. **Formulate Hypotheses:** - Null Hypothesis (H0): The average voltage of batteries from both manufacturers is the same. - Alternative Hypothesis (H1): The average voltage of batteries from the two manufacturers is different.2. **Data Collection:** Gather voltage data from samples of each manufacturer's batteries.3. **Statistical Test:** Use an appropriate statistical test (e.g., t-test for independent samples) to compare sample means.4. **Decision Rule:** If the p-value from the test is less than 0.01, reject the null hypothesis.5. **Conclusion:** Based on the p-value, determine whether the evidence supports a significant difference in voltages.**Visual Aid:** There are no graphs or diagrams provided to illustrate the data comparison or results interpretation.

Here, Sample size n1= 135 n2= 135 We use two sample z-test for comparing mean because…

An electrician wants to know whether batteries made by two manufacturers have significantly different voltages. The voltage of 135 batteries from each manufacturer were measured. The population standard deviations of the voltage for each manufacturer are known. The results are summarized in the following table. Sample mean voltage (millivolts) Population standard deviation(millivolts) Manufacturer A 107 1 B 106 4 What type of hypothesis test should be performed? Select Select Left-tailed t-test Right-tailed t-test Does sufficient evidence exist to support the claim t Two-tailed t-test Two-tailed z-test What is the test statistic? batteries made by the two manufacturers is different at the a = 0.L