A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wished to test Họ : µ = 175 against H1 : µ > 175 millimeters, using the results of n = 10 samples. Statistical Tables and Charts L00

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A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is
approximately normally distributed and has a standard deviation of 20 millimeters. The company wished to test Họ : µ = 175 against
H1 : µ > 175 millimeters, using the results of n = 10 samples.
Statistical Tables and Charts
If the sample data result in i = 190 millimeters, find the value for the test statistic zo.
Round your answer to two decimal places (e.g. 98.76)
How "unusual" is the sample valueT = 190 if the true mean is really 175? That is, what is the probability that you would observe
a sample average as large as 190 millimeters (or larger), if the true mean foam height was really 175 millimeters?
Round your answer to four decimal places (e.g. 98.7654).
i
Transcribed Image Text:A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wished to test Họ : µ = 175 against H1 : µ > 175 millimeters, using the results of n = 10 samples. Statistical Tables and Charts If the sample data result in i = 190 millimeters, find the value for the test statistic zo. Round your answer to two decimal places (e.g. 98.76) How "unusual" is the sample valueT = 190 if the true mean is really 175? That is, what is the probability that you would observe a sample average as large as 190 millimeters (or larger), if the true mean foam height was really 175 millimeters? Round your answer to four decimal places (e.g. 98.7654). i
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