any approach convenient to you An electrical company claims that the lives of the light bulbs it manufactures are normally distributed with a mean of 1,000 hours and a standard deviation of 100 hours. Test if the sample mean is significantly different from 1000 hours, if a random sample of 100 bulbs produced by this company has a mean life of 980 hours. Use 0.05 level of significance. WS 7b-1 Null Hypothesis Level of Significance Data 11- Sample Size Sample Mean Sample Standard Deviation Intermediate Calculations Standard Error of the Mean Z Test Statistic Two-Tail Test Lower Critical Value Upper Critical Value n-Value 10 -2 5-Step Solution 1000 0.05 100 980 100 2.ap-Value: 2-T non-directional. 3. Decision Rule: Reject H, if p-Value -) = a(0.05). -1.959962787 1.959962787 0.045500124 a. H.p HEA 4. Decision: because. 5. Conclusion:

st • Question 14 You wish to test the following claim (Ha) at a significance level of a = 0.002. H.:p = 51.2 H.:p > 51.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 69 58.6 62.8 sUcfocthis sampls/Repout.answeraccurato three ec

In a study on running and happiness, runners indicated the number of miles they ran in a day and their subsequent score on a Happiness Survey (higher score = greater happiness). Runner # of miles (x) Happiness Score (y) 1 16 12 2 4 3 12 14 4 2 8 For these data: The mean of miles run is: 8.50 The mean of the Happiness scores is: 10.00 The standard deviation of the Miles scores is: 5.72 The standard deviation of the Happiness scores is: 3.16 In your submission, please include a copy of the SPSS or Excel output and answer the following: A. What is the r and r? value? B. Based on Pearson's r and r2 value, describe the relationship (direction/strength) that exists between # of miles run and Happiness scores. C. Create a scatterplot for the data using Excel or SPSS (include output in your submission). D. Insert the prediction line from Excel/SPSS on your scatterplot.

Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…