An electrician wants to know whether batteries made by two manufacturers have significantly different voltages. The voltage of 138 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. Manufacturer Sample mean voltage (millivolts) Population standard deviati A 110 4 B 109 2 What type of hypothesis test should be performed?|v Select Left-tailed z-test Two-tailed t-test What is the test statistic? Ex: 0.12 S Two-tailed z-test Left-tailed t-test Does sufficient evidence exist to support the claim thhat uie vUItayt vi liit vateries made by the two manufacturers is different at the a = 0.1 significance level? Select O

What is the sample standard deviation?

Maple trees in a large forest have heights that are normally distributed with a mean of 95 feet and a standard deviation of 4.7 feet.  One tree has a height of 92 feet.  What is the Z-score of this height?

How to choose between an given mean and standard deviation of a data?

Suppose you have two samples with the following values: Sample 1: 2, 8, 6, 5, 4, 7, 5, 9, 6 Sample 2: 3, 5, 4, 8, 7, 5, 5, 7,6 For Sample 1, what are the values for: Mean Median Mode Standard Deviation Variance

Does the sample size ? affect the standard deviation of all possible samplemeans? Explain your answer.

Please answer and show all work. Thank you!!!

Two metal alloys are being considered as material for ball bearings. The mean melting point of the two alloys is to be compared. 15 pieces of each metal are being tested. Both populations have normal distributions. The following table is the result. It is believed that Alloy Zeta has a different melting point.                            Sample Mean Melting Temperatures (F degrees)   Population Standard Deviation Alloy Gamma 800 95 Alloy Zeta 900 105                                                                                               At the 1% significance level, what is your conclusion?

Fuel efficiency of Prius:  Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is:  (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…

The mean and standard deviation of Carbon concentration is 5 mg/L and 2 mg/L based on 25 samples from a river. The mean and standard deviation of Nitrogen concentration is 7 mg/L and 3 mg/L based on 35 samples from the same river. The experimenter wants to answer the question if the Nitrogen concentration is higher than the Carbon concentration. Which of the following methods do you use? Z-test, Default Procedure Z-test, Pooled Variance Procedure T-test, Pooled Variance Procedure T-test, Default Procedure