The population mean zinc mass for a certain battery brand is believed to be 3.0 g. However, a recent random sample of 61 batteries had a mean mass of 3.08 g with sample standard deviation .152 g. Does this data provide compelling evidence that the population mean zinc mass exceeds 3.0 g? (a) Define the appropriate null and alternative hypotheses. (b) Using a significance level of .01, does this data provide compelling evidence that the population mean zinc mass exceeds 3.0 g?

An automobile manufacturer has given its van a 53.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van performs under the manufacturer's MPG rating. After testing 200 vans, they found a mean MPG of 52.9. Assume the population standard deviation is known to be 1.6. Is there sufficient evidence at the 0.05 level to support the testing firm's claim?   Step 1 of 6 :   State the null and alternative hypotheses.

Suppose the mean height of women age 20 years or older in a certain country is 62.2 inches. One hundred randomly selected women in a certain city had a mean height of 61.7 inches. At the 1​% significance​ level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national​ mean? Assume that the population standard deviation of the heights of women in the city is 3.9 inches.   Set up the hypotheses for the​ one-mean z-test.   H0​: μ (≠, >, <, =) ________ppmHa​: μ (≠, >, <, =) _________ppm   Compute the value of the test statistic.z=__________​(Round to two decimal places as​ needed.)   Determine the critical​ value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as​ needed.)   A. The critical value is zα=____________   B. The critical values are ±zα/2=±____________   C. The critical value is −zα=___________

Is there any difference in the variability in golf scores for players on a women's professional golf tour and players on a men's professional golf tour? A sample of 20 tournament scores from events in a tour for women showed a standard deviation of 2.4638 strokes, and a sample of 30 tournament scores from events in a tour for men showed a standard deviation of 2.2121. Conduct a hypothesis test for equal population variances to determine if there is any statistically significant difference in the variability of golf scores for male and female professional golfers. Use a = 0.10. State the null and alternative hypotheses. 2 O Ho: o 2702 H: 01 Ho: 01 02 キ02 2ァ022 して 2. キ02 2502 2 %3D Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value %3D State your conclusion. O Reject Ho: We can conclude that there is a difference in the variability of golf scores for male and female professional golfers. O…